From 0e902754eff61d29d248640d96d2a2ba57106501 Mon Sep 17 00:00:00 2001 From: Joe Ardent Date: Sat, 7 Jan 2023 23:53:20 -0800 Subject: [PATCH 01/39] do about.md instead of dir --- content/{about/index.md => about.md} | 0 templates/base.html | 2 +- 2 files changed, 1 insertion(+), 1 deletion(-) rename content/{about/index.md => about.md} (100%) diff --git a/content/about/index.md b/content/about.md similarity index 100% rename from content/about/index.md rename to content/about.md diff --git a/templates/base.html b/templates/base.html index 14f5056..d531830 100644 --- a/templates/base.html +++ b/templates/base.html @@ -13,7 +13,7 @@ Nothing here?! {% endblock main_content %} - _ + From 8a6bb0bbed85d1e7f582a55e7885fe0ffa313231 Mon Sep 17 00:00:00 2001 From: Joe Ardent Date: Sun, 8 Jan 2023 15:55:40 -0800 Subject: [PATCH 02/39] Tags and homepage working. Posts tagged "proclamation" will be listed on the front page. --- content/_index.md | 1 + .../sundries/a-very-digital-artifact/index.md | 2 +- sass/parts/_cards.scss | 4 ++-- sass/parts/_header.scss | 10 ++-------- sass/parts/_tags.scss | 5 +++-- templates/home.html | 16 ++++++++++++++++ templates/page.html | 6 ++++++ templates/tags/list.html | 2 +- templates/taxonomy_single.html | 4 +++- themes/apollo | 2 +- 10 files changed, 36 insertions(+), 16 deletions(-) create mode 100644 templates/home.html create mode 100644 templates/page.html diff --git a/content/_index.md b/content/_index.md index 30f06c2..3ab305e 100644 --- a/content/_index.md +++ b/content/_index.md @@ -3,6 +3,7 @@ title = "From the Desk of the Head of R&D and Chief Sundries Officer" sort_by = "date" generate_feed = true toc = true +template = "home.html" [extra] toc = true +++ diff --git a/content/sundries/a-very-digital-artifact/index.md b/content/sundries/a-very-digital-artifact/index.md index b16ed8b..1d11164 100644 --- a/content/sundries/a-very-digital-artifact/index.md +++ b/content/sundries/a-very-digital-artifact/index.md @@ -3,7 +3,7 @@ title = "A Very Digital Artifact" slug = "a-very-digital-artifact" date = "2022-11-11" [taxonomies] -tags = ["3dprinting", "CAD", "GIS", "CNC", "art", "sundries"] +tags = ["3dprinting", "CAD", "GIS", "CNC", "art", "sundries", "proclamation"] +++ ![a CNC-carved exaggerated relief of California made of plywood](PXL_20220723_214758454.jpg) diff --git a/sass/parts/_cards.scss b/sass/parts/_cards.scss index a23fd91..9ecdada 100644 --- a/sass/parts/_cards.scss +++ b/sass/parts/_cards.scss @@ -1,6 +1,6 @@ .cards { display: grid; - grid-template-columns: repeat(auto-fill, minmax(300px, 1fr)); + grid-template-columns: repeat(auto-fill, minmax(500px, 1fr)); grid-template-rows: auto; gap: 24px; padding: 12px 0; @@ -41,4 +41,4 @@ .cards { gap: 18px; } -} \ No newline at end of file +} diff --git a/sass/parts/_header.scss b/sass/parts/_header.scss index 31fc388..90c0fda 100644 --- a/sass/parts/_header.scss +++ b/sass/parts/_header.scss @@ -73,42 +73,36 @@ h3, h4, h5, h6 { - font-size: 1.2rem; + /* font-size: 1.2rem; */ margin-top: 2em; } h1::before { color: var(--primary-color); - content: "# "; } h2::before { color: var(--primary-color); - content: "## "; } h3::before { color: var(--primary-color); - content: "### "; } h4::before { color: var(--primary-color); - content: "#### "; } h5::before { color: var(--primary-color); - content: "##### "; } h6::before { color: var(--primary-color); - content: "###### "; } @media (prefers-color-scheme: dark) { .social>img { filter: invert(1); } -} \ No newline at end of file +} diff --git a/sass/parts/_tags.scss b/sass/parts/_tags.scss index 461530c..cefb3e9 100644 --- a/sass/parts/_tags.scss +++ b/sass/parts/_tags.scss @@ -1,5 +1,6 @@ .tags li::before { - content: "🏷 "; + content: "🏷 "; + font-size: 0.5rem; } .tags a { @@ -9,4 +10,4 @@ .tags a:hover { color: var(--hover_color); background-color: var(--primary-color); -} \ No newline at end of file +} diff --git a/templates/home.html b/templates/home.html new file mode 100644 index 0000000..761d5ac --- /dev/null +++ b/templates/home.html @@ -0,0 +1,16 @@ +{% extends "base.html" %} + +{% block main_content %} + {% if section.extra.section_path -%} + {% set section = get_section(path=section.extra.section_path) %} + {% endif -%} + +{{ post_macros::page_header(title=section.title) }} + +{%- set tags = get_taxonomy(kind="tags") -%} +{%- set term = get_taxonomy_term(kind="tags", term="proclamation") -%} + +{{ post_macros::list_posts(pages = term.pages) }} + +{% endblock main_content %} + diff --git a/templates/page.html b/templates/page.html new file mode 100644 index 0000000..fc9ac2b --- /dev/null +++ b/templates/page.html @@ -0,0 +1,6 @@ +{% extends "base.html" %} + +{% block main_content %} +{{ post_macros::content(page=page) }} +{{ post_macros::tags(page=page, short=true) }} +{% endblock main_content %} diff --git a/templates/tags/list.html b/templates/tags/list.html index a289a89..28b1bd7 100644 --- a/templates/tags/list.html +++ b/templates/tags/list.html @@ -7,7 +7,7 @@ diff --git a/templates/taxonomy_single.html b/templates/taxonomy_single.html index bf224a0..053b141 100644 --- a/templates/taxonomy_single.html +++ b/templates/taxonomy_single.html @@ -2,7 +2,9 @@ {% block main_content %} -{{ post_macros::list_posts(pages = term.pages) }} +

Posts tagged {{ term.name }}

+ +{{ post_macros::cards_posts(pages = term.pages) }} {% endblock main_content %} diff --git a/themes/apollo b/themes/apollo index 989bdd1..eb02b7d 160000 --- a/themes/apollo +++ b/themes/apollo @@ -1 +1 @@ -Subproject commit 989bdd129b8bcb474a0336967e7c399433a23f64 +Subproject commit eb02b7d3c18a397fe5baa394b50fe2c199208dbe From 7215ed48d55f4011479a81c839992fbc4c1321c8 Mon Sep 17 00:00:00 2001 From: Joe Ardent Date: Tue, 10 Jan 2023 11:28:05 -0800 Subject: [PATCH 03/39] checkpoint post, checkin css change for h1 and h2 --- .gitignore | 2 +- .../PXL_20220723_214758454.jpg | Bin 0 -> 2403735 bytes .../sundries/a-very-digital-artifact/index.md | 85 ++++++++++- .../a-very-digital-artifact/notes.txt | 143 ++++++++++++++++++ .../programmers_creed.jpg | Bin 0 -> 143863 bytes sass/parts/_header.scss | 9 +- 6 files changed, 236 insertions(+), 3 deletions(-) create mode 100644 content/sundries/a-very-digital-artifact/PXL_20220723_214758454.jpg create mode 100644 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a/content/sundries/a-very-digital-artifact/index.md +++ b/content/sundries/a-very-digital-artifact/index.md @@ -6,4 +6,87 @@ date = "2022-11-11" tags = ["3dprinting", "CAD", "GIS", "CNC", "art", "sundries", "proclamation"] +++ -![a CNC-carved exaggerated relief of California made of plywood](PXL_20220723_214758454.jpg) +![A plywood slab carved with CNC into a topographic representation of California][main_image] + +# A birthday wish + +Last summer, I wanted to get my wife something nice for her birthday. For many years, she had +expressed an occasional and casual desire for a topographic carving of the state of California, +where we live, and I thought it might be something I could figure out how to get her. In the end, +after many dozens of hours of work, five weeks, and several hundred dollars paid to a professional +CNC machine shop, I had the artifact shown in the picture above. This is the story of its creation. + +# First steps + +Before you ask, I did not do a ton of research before embarking on this. As I write this, about six +months later, it only now occurred to me to do a basic search for an actual physical thing I could +buy, and luckily it seems that CNC-carved wooden relief maps of the whole state are not trivially +easy to come by, so, *phew!* + +No, my first step was to see if there were any shops in the area that could carve something out of +nice plywood, about a week before the intended recipient's birthday. I found one that was less than +ten minutes away, and filled out their web contact form. They had a field for material, and I said, +"some nice plywood between 0.75 and 1.0 inches thick or similar" (I didn't know exactly what was +available and wanted to give broad acceptable parameters), and under "project description", I wrote, + +> A relief map of California, carved from wood. Height exaggerated enough +to visibly discern the Santa Monica mountains. I can provide an STL file if needed. + +For some [incorrect] reason that I only later examined, I just sort of assumed that the shop would +have a library of shapes available for instantiating into whatever material medium you might +need. But just in case, I included that hedge about being able to provide an STL file. Needless to +say, that was a bluff. + +![the programmer's creed: we do these things not because they are easy, but because we thought they +were going to be easy -- from twitter user @unoservix, 2016-08-05][programmers_creed] +*

    me, every time
    * + +Also needless to say, my bluff was called almost immediately, and I had the following exchange with the +shop: + +> *CNC Shop*: STL can work but I can’t manipulate it, which could save some money. If possible can it +>be exported to an .igs or .iges or .stp format? +> +> *Me*: Yeah, STP should be no problem. Can you give a rough estimate of the cost for 1x2-foot relief carving? +> +> *Shop*: Without seeing the drawings, I can’t give even a close price but in the past they range from +>a few hundred dollars to several thousand dollars. +> +> *Me*: That's totally fair! I'll get you some files in a few days. + +As you can see, I leaned even harder into the bluff; my next communication with the shop was nearly +four weeks later. But that's getting ahead of things. + +# Meshes and solid bodies + +First off, let's talk about file formats and how to represent shapes with a +computer.[^math-computers] I said I could provide an *STL +file*. [STL](https://en.wikipedia.org/wiki/STL_(file_format)) is a pretty bare-bones format that +describes the outside surface of a shape as a set of many, many triangles, each of which is described +by three 3D points. This format is popular with 3D printers, which is how I became familiar with +it. + +This type of representation is easy to create and read, but it's not great for manipulation. + +# Public data + +## From space? + +## Thanks, California state! + +## In Australia, it's pronounced "g'dal" + +## Give it a good smear + +# Test prints + +# Final cut + +# Thanks + +[main_image]: PXL_20220723_214758454.jpg "A plywood slab carved with CNC into a topographic representation of California" + +[programmers_creed]: programmers_creed.jpg "jfk overlaid with the programmer's creed: we do these things not because they are easy, but because we thought they were going to be easy" + +[^math-computers]: I'm pretty sure this is more "represent shapes with math" than with a computer, but +the computer is just helping us do the math and it's more relatable. diff --git a/content/sundries/a-very-digital-artifact/notes.txt b/content/sundries/a-very-digital-artifact/notes.txt new file mode 100644 index 0000000..f284c76 --- /dev/null +++ b/content/sundries/a-very-digital-artifact/notes.txt @@ -0,0 +1,143 @@ +inital comms with CNC shop: +------------------------------ +Me: "project description": A relief map of California, carved from wood. Height exaggerated enough +to visibly discern the Santa Monica mountains. I can provide an STL file if needed. + +Shop: STL can work but I can’t manipulate it, which could save some money. If possible can it be +exported to an .igs or .iges or .stp format? + +Me: Yeah, STP should be no problem. Can you give a rough estimate of the cost for 1x2-foot relief carving? + +Shop: Without seeing the drawings, I can’t give even a close price but in the past they range from a +few hundred dollars to several thousand dollars. + +Me: That's totally fair! I'll get you some files in a few days. +------------------------------ + +next comms with shop three weeks later: +------------------------------ + +Hi Steve, I'm sorry for taking so long to get back to you! I had a harder time producing the IGES +file than I thought I would, but I think this should be OK: + +(snip url to file) + +It's 51 megabytes, otherwise I'd attach here. + +As modeled, there's probably more high-frequency detail in the mountains than is necessary, as I'm +going for something that feels nice to the touch so smoother is better. It's also modeled at a +slightly larger scale than necessary, though not too far off (it's 500x577mm, and I'm interested in +the 400-500mm range for width; the relief height is in the 20-30mm range depending on scale). I was +imagining it would be carved with contour cuts in some thick nice ply, though I'm happy to hear +better ideas; I have literally no experience with making something like this. + +(NOTE: go back to email thread and summarize the back-and-forth over tooling) +--------------------------------- + +Note that the shop did the extra work anyway just because they were nice, and that he was glad when +I told him it was a gift for my wife. + + +Zulip dump from 10 days after initial contact: +----------------------------------- +It IS Mt. Shasta! + +After I made the mosaic out of the tiles I downloaded to cover the area, I masked it with an outline +of the state that I downloaded from a California gov geo site, then used a program called +gdal_translate to turn the image, a "geotiff" file with height data encoded, into that heightmap png +with the lowest value mapped to 0 and the highest to maxint. + +I also had to reproject the geotiff with the height data into the same coordinate system as the +state outline was in. The height data was in a system using lat/long called "EPSG:4326", while the +state outline was made from line segments with 2d vertices in a projected coordinate system called +"EPSG:3857" with units of "meters". 3857 is "web Mercator", and is the coordinate system used by +Google and Open Street Map for their map tiles and other shapes. + +It may or may not be surprising that cartography is very complicated! + +My next step is to turn this heightmap into solid geometry that I can 3d print and/or send to a +local CNC shop to have them carve a relief of California out of wood, which is close to the final +step of producing an artifact as a present for my partner. + +There are a bunch of python packages for working in this domain, but they're all just wrappers +around various GDAL libraries or tools. + +The raw topo data I got from +https://portal.opentopography.org/raster?opentopoID=OTSRTM.082015.4326.1 (that was the epsg 4326 +geocoded tiff; actually, several of them because you can only download up to 450km^2 at a time, +hence having to mosaic them with the gdal_merge.py command (the '.py' is in the name of the command +that gets installed when you do apt install gdal-bin)), then use gdalwarp to re-project to 3857, +then I had to write a python program to mask it for some reason, then gdal_translate (no .py on that +one, but they're all just python scripts) to convert to the png heightmap. I'm leaving out a couple +details in the workflow, but that's the main shape of it. + +OK, actually, now that all that context is established, here's the actual command that produced that +file from the geocoded tiff: + +gdal_translate -of PNG -ot UInt16 -scale -130 4412 0 65535 cropped_ca_topo.tif heightmap_cropped.png + +and then I used convert (the imagemagick program) to scale the png from 33,311x38,434 to +2,000x2,2308 pixels. + +the -scale -130 4412 0 65535 is mapping the height data min/max to the png whiteness in the output +file. +--------------------------------------- + +Zulip musings from a few days after that, still working on the heightmap: +--------------------------------------- +(re: non-linear scaling of height to reduce pointiness) +ok, it was easier than I thought it would be. gdal_translate has a -exponent flag you can use with +-scale, so I remade the heightmap with an exponential scaling, using 0.41 as the exponent. + +funny enough, I'm still working on this, since even when I drastically scale the size of the mesh +down in Blender (which I export to OBJ for import by FreeCAD), doing anything like modelling (eg, +extruding downward or joining with a solid base, or cutting the shape so it's CA-shaped and not a +rectangle) requires tens of gigabytes of resident memory and I keep having to kill the program and +start over. + +a 60-megabyte OBJ file turns into 21 GB of resident data in the modelling software. + +I have 32GB of RAM installed + +that 21GB expands to 30 when I try manipulating it +------------------------------------------ + +Zulip from two weeks later (July 7): +-------------------------------------- + +Two weeks later I'm finally printing something out. I've given up on converting it into a parametric +CAD-like object; it seems this is a Hard Problem, but I'm not sure why. My goal with doing that was +to give a parametric CAD file to a local CNC milling shop, per their request, since when I suggested +a mesh-based file (STL), the guy was like "I can't do much manipulation with that to make it more +manufacturable, so a real CAD file would be best". + +But at least with an STL file, I can print it myself. So that's going now, we'll see how it turns +out in no less than eight hours. + +I haven't really done anything else with my computer besides this for a while. + +(next day) +ok, I got something printed out, but I'm not super stoked on it. Also, I'm still chasing the elusive +dream of turning this into a parametric solid for easier CNCing. Vape pen for scale: +(insert shitty print photo) + +(next day after that, the 9th) +I've finally "finished": I've created a mesh that has no missing faces, is not too crazy, and can be +converted into a parametric solid, and sent that off to a local CNC shop for a quote on having it +routed out of wood. I'll also do another 3D print, since the base is now a larger version of the +coastline instead of a rectangle, and the high frequency detail is a little diminished. + +---------------------------------------- + +Links: + +https://data.ca.gov/ + +https://portal.opentopography.org/raster?opentopoID=OTSRTM.082015.4326.1 + +https://www.printables.com/model/240867-topographic-california + +https://touchterrain.geol.iastate.edu/ + +https://en.wikipedia.org/wiki/Shuttle_Radar_Topography_Mission + diff --git a/content/sundries/a-very-digital-artifact/programmers_creed.jpg b/content/sundries/a-very-digital-artifact/programmers_creed.jpg new file mode 100644 index 0000000000000000000000000000000000000000..dae2572505fd19386f54c04eca61b107b3ad3ae3 GIT binary patch literal 143863 zcmb5VbzD?m^e%h`Z~*B>N?>r1t^uT!&Y@dEx?i#vL=~gKf0q^1a zd+&Qc_s_fG!_1jEXP>p!Uh7%UTKn*C>EBm?P*GMv7Jxti00RC1|5gDh-~l=Y1_t^A z@Xvz>51^R1SeW1-z`?=BB_bduCL$mrA|a=tAR(n9BO;jRt0}FN_ZL;l}QMi2`&JLa|0Otc-#O0O#|Qo<#D`uWFP7_pDN=b 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a/sass/parts/_header.scss b/sass/parts/_header.scss index 90c0fda..9c84964 100644 --- a/sass/parts/_header.scss +++ b/sass/parts/_header.scss @@ -67,15 +67,22 @@ header .main { letter-spacing: -0.5px; } + +h1 { font-size: 1.5rem } +h2 { font-size: 1.2rem } + + +/* h1, h2, h3, h4, h5, h6 { - /* font-size: 1.2rem; */ + font-size: 1.2rem; margin-top: 2em; } + */ h1::before { color: var(--primary-color); From 5ab8c6a07c1c92980db33c7493724df757769c8b Mon Sep 17 00:00:00 2001 From: Joe Ardent Date: Tue, 10 Jan 2023 13:49:43 -0800 Subject: [PATCH 04/39] checkpoint --- .../sundries/a-very-digital-artifact/index.md | 34 +++++++++++++++---- 1 file changed, 28 insertions(+), 6 deletions(-) diff --git a/content/sundries/a-very-digital-artifact/index.md b/content/sundries/a-very-digital-artifact/index.md index a2b4fa9..fa9fd9c 100644 --- a/content/sundries/a-very-digital-artifact/index.md +++ b/content/sundries/a-very-digital-artifact/index.md @@ -54,22 +54,44 @@ shop: > > *Me*: That's totally fair! I'll get you some files in a few days. -As you can see, I leaned even harder into the bluff; my next communication with the shop was nearly -four weeks later. But that's getting ahead of things. +"I'll get you some files in a few days," was an even harder lean into the bluff; my next +communication with the shop was nearly four weeks later. But that's getting ahead of things. # Meshes and solid bodies First off, let's talk about file formats and how to represent shapes with a computer.[^math-computers] I said I could provide an *STL file*. [STL](https://en.wikipedia.org/wiki/STL_(file_format)) is a pretty bare-bones format that -describes the outside surface of a shape as a set of many, many triangles, each of which is described -by three 3D points. This format is popular with 3D printers, which is how I became familiar with -it. +describes the outside surface of a shape as a set of many, many triangles, each of which is +described by three 3D points, forming a "mesh" in the shape of the thing you're modeling. This +format is popular with 3D printers, which is how I became familiar with it. -This type of representation is easy to create and read, but it's not great for manipulation. +This format is simple to implement and easy for a computer to read, but if you have a model in that +format that you need to manipulate, you won't have a good time. In order to actually do things like +change the shape of the model, it needs to be converted into a CAD program's native representation +of a "solid body", which is pretty much what it sounds like: a shape made of a finite volume of +"stuff", instead of an infinitesimally thin shell enclosing an empty volume, which is what the mesh +is. + +In order for the CAD program to convert a mesh into a solid body, the mesh must be *manifold*, +meaning, no missing faces (triangles), and with a clearly-defined interior and exterior (all +triangles are facing in one direction relative to their interior). When there are no missing faces, +it's called "water tight". You can still have "holes" in a mesh, like if you have a model of a +donut, but the surface of the donut can't have any missing faces. + +The CNC shop had requested a model in a format called +[ST**P**](https://www.fastradius.com/resources/everything-you-need-to-know-about-step-files/). `.stp` +is the extension for a "STEP" file; STEP is supposed to be short for "standard for the exchange of +product data", so someone was playing pretty fast and loose with their initialisms, but I +digress. But the main thing about STEP files is that CAD programs can really easily convert them +into their native internal solid body representation, which allows easy manipulation. + +But so far, I had nothing at all. Time to get some data and see if I can turn it into a model. # Public data + + ## From space? ## Thanks, California state! From f6bc1efbaed1a62de34ddf54ed7c33baf5ab096c Mon Sep 17 00:00:00 2001 From: Joe Ardent Date: Tue, 10 Jan 2023 21:57:37 -0800 Subject: [PATCH 05/39] put an hr before the tags in pages --- content/sundries/a-very-digital-artifact/index.md | 13 +++++++------ templates/page.html | 1 + 2 files changed, 8 insertions(+), 6 deletions(-) diff --git a/content/sundries/a-very-digital-artifact/index.md b/content/sundries/a-very-digital-artifact/index.md index fa9fd9c..d526e06 100644 --- a/content/sundries/a-very-digital-artifact/index.md +++ b/content/sundries/a-very-digital-artifact/index.md @@ -67,11 +67,11 @@ described by three 3D points, forming a "mesh" in the shape of the thing you're format is popular with 3D printers, which is how I became familiar with it. This format is simple to implement and easy for a computer to read, but if you have a model in that -format that you need to manipulate, you won't have a good time. In order to actually do things like -change the shape of the model, it needs to be converted into a CAD program's native representation -of a "solid body", which is pretty much what it sounds like: a shape made of a finite volume of -"stuff", instead of an infinitesimally thin shell enclosing an empty volume, which is what the mesh -is. +format that you need to manipulate, like you want to merge it with another shape, you won't have a +good time. In order to actually do things like change the shape of the model, it needs to be +converted into a CAD program's native representation of a "solid body", which is pretty much what it +sounds like: a shape made of a finite volume of "stuff", and NOT just an infinitesimally thin shell +enclosing an empty volume, which is what the STL mesh is. In order for the CAD program to convert a mesh into a solid body, the mesh must be *manifold*, meaning, no missing faces (triangles), and with a clearly-defined interior and exterior (all @@ -83,11 +83,12 @@ The CNC shop had requested a model in a format called [ST**P**](https://www.fastradius.com/resources/everything-you-need-to-know-about-step-files/). `.stp` is the extension for a "STEP" file; STEP is supposed to be short for "standard for the exchange of product data", so someone was playing pretty fast and loose with their initialisms, but I -digress. But the main thing about STEP files is that CAD programs can really easily convert them +digress. The main thing about STEP files is that CAD programs can really easily convert them into their native internal solid body representation, which allows easy manipulation. But so far, I had nothing at all. Time to get some data and see if I can turn it into a model. + # Public data diff --git a/templates/page.html b/templates/page.html index fc9ac2b..1147d9b 100644 --- a/templates/page.html +++ b/templates/page.html @@ -2,5 +2,6 @@ {% block main_content %} {{ post_macros::content(page=page) }} +
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z*MD-}ys$ge|9;m%iordU*+9CkD+OePG*AbM6TYJ~D|?SaD?^Woj>qhzN<4c^oMCYSu&(Y2a#NK(GmrBWV=b!Rcs*O0i1XCa z_;WHo1kdOz2KVnfGut{H(76ur`D8(TtJW1Omk!Koq)ZzVNsj2?j`zrs|9Mda!NDZv Y$=B}IfBOOa;t`CLxV%`oh@t=g0L({}=Kufz literal 0 HcmV?d00001 diff --git a/content/sundries/a-very-digital-artifact/index.md b/content/sundries/a-very-digital-artifact/index.md index d526e06..9d7fc7d 100644 --- a/content/sundries/a-very-digital-artifact/index.md +++ b/content/sundries/a-very-digital-artifact/index.md @@ -39,9 +39,9 @@ say, that was a bluff. ![the programmer's creed: we do these things not because they are easy, but because we thought they were going to be easy -- from twitter user @unoservix, 2016-08-05][programmers_creed] -*
    me, every time
    * +*
    me, every single time
    * -Also needless to say, my bluff was called almost immediately, and I had the following exchange with the +Also needless to say, my bluff was immediately called, and I had the following exchange with the shop: > *CNC Shop*: STL can work but I can’t manipulate it, which could save some money. If possible can it @@ -54,19 +54,21 @@ shop: > > *Me*: That's totally fair! I'll get you some files in a few days. -"I'll get you some files in a few days," was an even harder lean into the bluff; my next -communication with the shop was nearly four weeks later. But that's getting ahead of things. +"STP should be no problem ... I'll get you some files in a few days," was an even harder lean into +the bluff; my next communication with the shop was nearly four weeks later. But that's getting ahead +of things. # Meshes and solid bodies First off, let's talk about file formats and how to represent shapes with a -computer.[^math-computers] I said I could provide an *STL +computer.[^math-computers] I first said I could provide an *STL file*. [STL](https://en.wikipedia.org/wiki/STL_(file_format)) is a pretty bare-bones format that -describes the outside surface of a shape as a set of many, many triangles, each of which is -described by three 3D points, forming a "mesh" in the shape of the thing you're modeling. This -format is popular with 3D printers, which is how I became familiar with it. +describes the outside surface of a shape as a mesh of many, many triangles, each of which is +described by three 3D points, where each point (but not necessarily each edge) of the triangle lies +on the surface of the shape of the thing you're modeling. This format is popular with 3D printers, +which is how I became familiar with it. -This format is simple to implement and easy for a computer to read, but if you have a model in that +STL is simple to implement and easy for a computer to read, but if you have a model in that format that you need to manipulate, like you want to merge it with another shape, you won't have a good time. In order to actually do things like change the shape of the model, it needs to be converted into a CAD program's native representation of a "solid body", which is pretty much what it @@ -77,39 +79,98 @@ In order for the CAD program to convert a mesh into a solid body, the mesh must meaning, no missing faces (triangles), and with a clearly-defined interior and exterior (all triangles are facing in one direction relative to their interior). When there are no missing faces, it's called "water tight". You can still have "holes" in a mesh, like if you have a model of a -donut, but the surface of the donut can't have any missing faces. +donut[^manifold_holes], but the surface of the donut can't have any missing faces. A valid STL +file's meshes are manifold. The CNC shop had requested a model in a format called [ST**P**](https://www.fastradius.com/resources/everything-you-need-to-know-about-step-files/). `.stp` is the extension for a "STEP" file; STEP is supposed to be short for "standard for the exchange of product data", so someone was playing pretty fast and loose with their initialisms, but I digress. The main thing about STEP files is that CAD programs can really easily convert them -into their native internal solid body representation, which allows easy manipulation. +into their native internal solid body representation, which allows easy manipulation. Another thing +about them is that a CAD program can usually turn an STL file into an STP file, unless the mesh is +too complicated and your computer doesn't have enough RAM (*note: foreshadowing*[^chekhovs-ram]). + +![an overly-complicated mesh of a cube][meshy-cube] +*
    this cube's mesh has too many vertices and edges, I hope my computer has enough +RAM to work with it
    * But so far, I had nothing at all. Time to get some data and see if I can turn it into a model. - # Public data +My first impulse was to search [USGS](https://usgs.gov)'s website for +[heightmap](https://en.wikipedia.org/wiki/Heightmap) data, but I wound up not finding anything +appropriate. Once again, now that I'm looking after I'm done, I found this, which would have been +perfect: +[https://apps.nationalmap.gov/downloader/](https://apps.nationalmap.gov/downloader/) + +Did I just accidentally miss it then? Did I not know how to recognize it because I didn't know what +I was doing *at all*? The world may never know, but at least now you can benefit from my many, many +missteps. ## From space? -## Thanks, California state! +Anyway, having not found anything I could really use from the USGS, I found [this +site](https://portal.opentopography.org/raster?opentopoID=OTSRTM.082015.4326.1), from +OpenTopography, an organization run by the UCSD Supercomputer Center, under a grant from the +National Science Foundation. So, hooray for public data! + +That particular page is for a particular dataset; in this case, "[SRTM +GL1](http://www2.jpl.nasa.gov/srtm/) Global 30m". "SRTM" stands for "[Shuttle Radar Topography +Mission](https://en.wikipedia.org/wiki/Shuttle_Radar_Topography_Mission)", which was a Space Shuttle +mission in February, 2000, where it did a [fancy radar +scan](https://en.wikipedia.org/wiki/Interferometric_synthetic-aperture_radar) of most of the land on +Earth. Though, it's hard to verify that the data was not synthesized with other datasets of more +recent, non-space origin, especially in places like California. But probably space was involved in +some way. ## In Australia, it's pronounced "g'dal" +Anyway, I'd found an open source of public data. This dataset's [horizontal resolution is 1 arc +second](https://gisgeography.com/srtm-shuttle-radar-topography-mission/) (which is why it's +"GL**1**"), or roughly 30x30 meters, and the height data is accurate to within 16 meters. Not too +shabby! + +The only problem was that you could only download data covering up to 450 square kilometers at a +time, so I had had to download three or four separate +[GeoTIFF](https://en.wikipedia.org/wiki/GeoTIFF) files and then mosaic them together. A GeoTIFF file +is basically an image where each pixel represents one data point (so, a 30x30 square meter plot) +centered at a particular location on the Earth's surface. It's a monochrome image, where height is +mapped to brightness, so the lowest spot is `0` (black), and the highest spot is `65535` (brightest +white), since each pixel is a 16-bit integer. + +## Thanks, California state! + +https://data.ca.gov/dataset/ca-geographic-boundaries + ## Give it a good smear # Test prints # Final cut -# Thanks +# Thank yous, lessons learned, and open questions + +--- [main_image]: PXL_20220723_214758454.jpg "A plywood slab carved with CNC into a topographic representation of California" [programmers_creed]: programmers_creed.jpg "jfk overlaid with the programmer's creed: we do these things not because they are easy, but because we thought they were going to be easy" +[meshy-cube]: meshy-cube.png "an overly-complicated mesh of a cube" + [^math-computers]: I'm pretty sure this is more "represent shapes with math" than with a computer, but the computer is just helping us do the math and it's more relatable. + +[^manifold_holes]: I *think* you could also have a 2D sheet with a hole cut out of it represented by a +mesh that is manifold, as long as the connectivity was correct in terms of how many shared edges and +vertices there were (though this would not be a valid STL file). Imagine a +cloth sheet with a hole cut out and the edge of the hole hemmed or otherwise "sealed", which is then +a *manifold boundary*. See [this powerpoint +deck](https://pages.mtu.edu/~shene/COURSES/cs3621/SLIDES/Mesh.pdf) for a pretty math-y overview of +"mesh basics" (but not really that basic, that's just academics trolling us, don't let it bother +you). 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changed, 13 insertions(+), 9 deletions(-) rename {content/sundries/a-very-digital-artifact => static/images}/programmers_creed.jpg (100%) diff --git a/.gitignore b/.gitignore index 9e8a6aa..364fdec 100644 --- a/.gitignore +++ b/.gitignore @@ -1,2 +1 @@ public/ -images/ diff --git a/config.toml b/config.toml index 0370fdf..a3b967e 100644 --- a/config.toml +++ b/config.toml @@ -16,6 +16,8 @@ taxonomies = [ ] theme = "apollo" +mathjax = true +mathjax_dollar_inline_enable = true [markdown] # Whether to do syntax highlighting diff --git a/content/sundries/a-very-digital-artifact/index.md b/content/sundries/a-very-digital-artifact/index.md index 9d7fc7d..38ba049 100644 --- a/content/sundries/a-very-digital-artifact/index.md +++ b/content/sundries/a-very-digital-artifact/index.md @@ -1,7 +1,7 @@ +++ -title = "A Very Digital Artifact" -slug = "a-very-digital-artifact" -date = "2022-11-11" +title = "A Thoroughly Digital Artifact" +slug = "a-thoroughly-digital-artifact" +date = "2023-01-11" [taxonomies] tags = ["3dprinting", "CAD", "GIS", "CNC", "art", "sundries", "proclamation"] +++ @@ -133,13 +133,13 @@ second](https://gisgeography.com/srtm-shuttle-radar-topography-mission/) (which "GL**1**"), or roughly 30x30 meters, and the height data is accurate to within 16 meters. Not too shabby! -The only problem was that you could only download data covering up to 450 square kilometers at a +The only problem was that you could only download data covering up to 450,000 square kilometers at a time, so I had had to download three or four separate [GeoTIFF](https://en.wikipedia.org/wiki/GeoTIFF) files and then mosaic them together. A GeoTIFF file is basically an image where each pixel represents one data point (so, a 30x30 square meter plot) centered at a particular location on the Earth's surface. It's a monochrome image, where height is -mapped to brightness, so the lowest spot is `0` (black), and the highest spot is `65535` (brightest -white), since each pixel is a 16-bit integer. +mapped to brightness, so the lowest spot's value is `0` (black), and the highest spot is +`65535`[^16-bit-ints] (brightest white). These files are not small ## Thanks, California state! @@ -157,7 +157,7 @@ https://data.ca.gov/dataset/ca-geographic-boundaries [main_image]: PXL_20220723_214758454.jpg "A plywood slab carved with CNC into a topographic representation of California" -[programmers_creed]: programmers_creed.jpg "jfk overlaid with the programmer's creed: we do these things not because they are easy, but because we thought they were going to be easy" +[programmers_creed]: /images/programmers_creed.jpg "jfk overlaid with the programmer's creed: we do these things not because they are easy, but because we thought they were going to be easy" [meshy-cube]: meshy-cube.png "an overly-complicated mesh of a cube" @@ -173,4 +173,7 @@ deck](https://pages.mtu.edu/~shene/COURSES/cs3621/SLIDES/Mesh.pdf) for a pretty "mesh basics" (but not really that basic, that's just academics trolling us, don't let it bother you). If I'm wrong about a 2D sheet with a hole being possibly manifold, I invite correction! -[^chekhovs-ram]: A classic use of Chekhov's Scarce Computational Resource. +[^chekhovs-ram]: A classic example of Chekhov's Scarce Computational Resource. + +[^16-bit-ints]: Each pixel is 16 bits, so the possible values are from 0 to 2^16 - 1. 2^16 is 65536, +so there you go. diff --git a/content/sundries/a-very-digital-artifact/programmers_creed.jpg b/static/images/programmers_creed.jpg similarity index 100% rename from content/sundries/a-very-digital-artifact/programmers_creed.jpg rename to static/images/programmers_creed.jpg From 845b336dd8bec95d5eab25d552af02f4bef0075e Mon Sep 17 00:00:00 2001 From: Joe Ardent Date: Fri, 13 Jan 2023 00:26:31 -0800 Subject: [PATCH 08/39] checkpoint ca topo post --- .../a-very-digital-artifact/geotiff-files.png | Bin 26911 -> 31197 bytes .../sundries/a-very-digital-artifact/index.md | 129 ++++++++++++++++-- .../a-very-digital-artifact/small_ca_topo.png | Bin 0 -> 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second](https://gisgeography.com/srtm-shuttle-radar-topography-mission/) (which "GL**1**"), or roughly 30x30 meters, and the height data is accurate to within 16 meters. Not too shabby! -The only problem was that you could only download data covering up to 450,000 square kilometers at a -time, so I had had to download three or four separate -[GeoTIFF](https://en.wikipedia.org/wiki/GeoTIFF) files and then mosaic them together. A GeoTIFF file -is basically an image where each pixel represents one data point (so, a 30x30 square meter plot) +They provided the data in the form of [GeoTIFF](https://en.wikipedia.org/wiki/GeoTIFF)s, which are +basically an image where each pixel represents one data point (so, a 30x30 square meter plot) centered at a particular location on the Earth's surface. It's a monochrome image, where height is mapped to brightness, so the lowest spot's value is `0` (black), and the highest spot is -`65535`[^16-bit-ints] (brightest white). These files are not small +`65535`[^16-bit-ints] (brightest white). -## Thanks, California state! +The only problem was that you could only download data covering up to 450,000 square kilometers at a +time, so I had had to download a bunch of separate files and then mosaic them together. Luckily, +there's a whole suite of open source tools called +[GDAL](https://gdal.org/faq.html#what-does-gdal-stand-for). Among that suite is a tool called +`gdal_merge.py` (yes, the `.py` is part of the name of the tool that gets installed to your system +when you install the GDAL tools), which does exactly what I wanted: -https://data.ca.gov/dataset/ca-geographic-boundaries +> gdal_merge.py -o ca_topo.tif norcal_topo.tif centcal_topo.tif socal_topo.tif so_cent_cal_topo.tif norcal_topo_redux.tif last_bit.tif east_ca.tif -## Give it a good smear +This produced a file called `ca_topo.tif`. It was very large, in every sense: + +![listing of tif files with sizes][geotiff-files] +*

    last_little_piece_i_swear_final_final2.tif
    * + +Using [another tool](https://gdal.org/programs/gdalinfo.html) called `gdalinfo`, we can examine the +metadata of the mosaic we just created: + +``` text +$ gdalinfo -mm ca_topo.tif +Driver: GTiff/GeoTIFF +Files: ca_topo.tif +Size is 40757, 35418 +Coordinate System is: +GEOGCRS["WGS 84", + DATUM["World Geodetic System 1984", + ELLIPSOID["WGS 84",6378137,298.257223563, + LENGTHUNIT["metre",1]]], + PRIMEM["Greenwich",0, + ANGLEUNIT["degree",0.0174532925199433]], + CS[ellipsoidal,2], + AXIS["geodetic latitude (Lat)",north, + ORDER[1], + ANGLEUNIT["degree",0.0174532925199433]], + AXIS["geodetic longitude (Lon)",east, + ORDER[2], + ANGLEUNIT["degree",0.0174532925199433]], + ID["EPSG",4326]] +Data axis to CRS axis mapping: 2,1 +Origin = (-125.109583333326071,42.114305555553187) +Pixel Size = (0.000277777777778,-0.000277777777778) +Metadata: + AREA_OR_POINT=Area +Image Structure Metadata: + INTERLEAVE=BAND +Corner Coordinates: +Upper Left (-125.1095833, 42.1143056) (125d 6'34.50"W, 42d 6'51.50"N) +Lower Left (-125.1095833, 32.2759722) (125d 6'34.50"W, 32d16'33.50"N) +Upper Right (-113.7881944, 42.1143056) (113d47'17.50"W, 42d 6'51.50"N) +Lower Right (-113.7881944, 32.2759722) (113d47'17.50"W, 32d16'33.50"N) +Center (-119.4488889, 37.1951389) (119d26'56.00"W, 37d11'42.50"N) +Band 1 Block=40757x1 Type=Int16, ColorInterp=Gray + Computed Min/Max=-130.000,4412.000 +``` + +If I may draw your attention to a couple things there, that's an image that's 40,757 pixels wide and +35,418 pixels tall. The "pixel size" is 0.000277777777778 by 0.000277777777778; since each pixel is +1 arc second, and 1 arc second is 1/3600th of a degree, and 1/3600 is 0.000277777777..., we +can infer that the unit of size there is degrees of arc along the surface of the Earth[^wgs-ellipsoid], at a +distance measured from the center of the planet. As previously mentioned, that translates into a size +of roughly 30 meters. So if you were ever curious about how many 100-ish-foot squares you'd need to +fill a rectangle that fully enclosed the entire border of California, then one billion, +four-hundred-forty-three million, five-hundred-thirty-one thousand, and four-hundred-twenty-six +(40,757 times 35,418) is pretty close. + +The other units in there are under the "Coordinate System is" section, and are meters, and relative +to the [World Geodetic System 1984](https://en.wikipedia.org/wiki/World_Geodetic_System) datum; this +refers to height; the very last line is the lowest and highest points in file, in meters from that WGS84 +baseline. If you were to view the file as though it were an image, it would look like this: + +![the ca_topo image; it's hard to make out details and very dark][small_ca_topo] +*
    if you squint, you can kinda see the mountains
    * + +This is because the highest possible value an image like that could have for a pixel is 65,535, and +the highest point in our dataset is only 4,412, which is not that much in comparison. Plus, it +includes portions of not-California in the height data, and ideally, we want those places to be 0; +we have a little more processing to do before we can use this. + +## Thank you, State of California! + +The first order of business is to mask out everything that's not California, and the first thing I +needed for that was a [shapefile](https://en.wikipedia.org/wiki/Shapefile) that described the +California state border. Luckily, [that exact +thing](https://data.ca.gov/dataset/ca-geographic-boundaries) is publicly available from the state's +website! # Test prints +## Give it a good smear + # Final cut # Thank yous, lessons learned, and open questions +thank you: wife, steve at the shop, friends indulging my oversharing, NASA, Blender, FreeCAD + +lesson: I started basically knowing nothing, but now retracing my steps I feel like I understand everything +much better than when I was first racing through the domain trying to get to a point where I could +just produce the artifact. + +lesson: pipeline of geotiff -> mask -> scaled heightmap -> mesh -> solid body + +lesson: see whole article about GIS stuff + +question: could I do it better in blender? freecad? could I have used gdal_polygonize (doubtful, +given how much I had to blur and decimate)? + --- [main_image]: PXL_20220723_214758454.jpg "A plywood slab carved with CNC into a topographic representation of California" @@ -161,14 +253,18 @@ https://data.ca.gov/dataset/ca-geographic-boundaries [meshy-cube]: meshy-cube.png "an overly-complicated mesh of a cube" -[^math-computers]: I'm pretty sure this is more "represent shapes with math" than with a computer, but -the computer is just helping us do the math and it's more relatable. +[geotiff-files]: geotiff-files.png "the input geotiff files and the resulting 'ca_topo.tif' output file, which is 2.7 gigabytes" -[^manifold_holes]: I *think* you could also have a 2D sheet with a hole cut out of it represented by a -mesh that is manifold, as long as the connectivity was correct in terms of how many shared edges and -vertices there were (though this would not be a valid STL file). Imagine a -cloth sheet with a hole cut out and the edge of the hole hemmed or otherwise "sealed", which is then -a *manifold boundary*. See [this powerpoint +[small_ca_topo]: small_ca_topo.png "a 'raw' heightmap of california and parts of nevada, arizona, and mexico" + +[^math-computers]: I'm pretty sure this is more "represent shapes with math" than with a computer, but +the computer is helping us do the math and it's more relatable. + +[^manifold_holes]: I *think* you could also have a 2D sheet with a hole cut out of it represented by +a mesh that is manifold, as long as the connectivity was correct in terms of how many shared edges +and vertices there were (though this would not be a valid STL file). Imagine a cloth sheet with a +hole cut out in the middle, and the edge of the hole hemmed or otherwise "sealed", which is then a +*manifold boundary*. See [this powerpoint deck](https://pages.mtu.edu/~shene/COURSES/cs3621/SLIDES/Mesh.pdf) for a pretty math-y overview of "mesh basics" (but not really that basic, that's just academics trolling us, don't let it bother you). If I'm wrong about a 2D sheet with a hole being possibly manifold, I invite correction! @@ -177,3 +273,6 @@ you). If I'm wrong about a 2D sheet with a hole being possibly manifold, I invit [^16-bit-ints]: Each pixel is 16 bits, so the possible values are from 0 to 2^16 - 1. 2^16 is 65536, so there you go. + +[^wgs-ellipsoid]: Technically, it's an arc along the WGS84 ellipsoid, which is a perfectly smooth +*smushed* sphere, which more closely matches the real shape of the Earth vs. a perfect sphere. diff --git a/content/sundries/a-very-digital-artifact/small_ca_topo.png b/content/sundries/a-very-digital-artifact/small_ca_topo.png new file mode 100644 index 0000000000000000000000000000000000000000..bf0685561abb46baebfbcd9d5d756dd1e3530f1f GIT binary patch literal 414791 zcmW)HcRbtM|9|i8E%#EiR*j;)t`&R5rlqB|M`FcjrB-W}sH$QIuSya__^ZCQ|snOG0w=k)Um#^>KjDL4B(0g`$&5o8Gy&2I5yfk`F zzwsLros44a#ueh$t$%O5eD)L+GQac7HG3)WSn8^WRJc6F`0~%Ap!z zhw;AHc&B{7RvfP{qd*ZTjInrO6gm#_ZZ`)YU+{yMVsi=Ditdg zBs1}pZgzawg%)NCOX1adDy*uT!MZ*q^SRIdm4y;^UQ8dZaZgPpODK+ zNlDZ?%Vj&fliuZ13{0waZ<`SAd%D+b0`hRk* z;Y&W?+2#8f6V1IB#BTS`oZB$@VTslaN%MG3`>-Q1z{$0gsj1APFf#no#`CpOmf8$J zr>m$(fr(7Mce{Db&fxA0%3jA4VX|&e2u43B&|P>@YAocE`-+#k`Y?EY2_S&`Dr~z> zwR27&XgIwS7C$QfywL8O>&FDB9?vkE2a8*Lu;sujT2HCss?44L>*9ErMh_{r`x>%< zhVw;EJvxQ8w2L36I^c&DxJwCge7XZx5t7SqqXKY``#DYeOEG3rfWnU+=LS)Zo#uC( z&Ah6Qcir-or=`hZyg44O+c*Kg4;oMeU3~arT$j~ply`NGw&>qNhtV{NxF@2Q+xx%v zug|r*uc&5sgf6%BugPIF$8KEDuMCDv_Y0QiS<(lw#Yb94>S80oJsJw@CacV)tZFN=a{S+=zuzoH3n)Fvs$lgm%bjN=z_}$%`gjX+F!eBue89rW_c#68IE|7 zGqJq_OwCV z%*j{}_d>FJPvWkfo12}t`LdG-1Xq<`40*tCURIKMR*@O;ML*CoI=j>FB6~f4IU$B> z722aUKT#Oui~i8{aJ!B(+mmm5c61_FB9(BMraZi)Vp8_{TRNg{zpPmV4vtXt9_v_|!DS`?DgI!OBK&0#Izysu`JR zenMY&Pu27D^nYhY)%DXzTDa@1T|D5Xt4x3(>?xn-=r~GWs^d#1N?!8rXtmUx@l5b%G6oGuw9EL~7l2&b$<^-cMH{4qa zT9nPLt~7z8O6(b;q7yY1NkNJohH0osjUc5jDusb)S7=g%a`$U5`H`~{9embV&tC`E zSFG33>Q<=c_=N7)g(AP~+IIug#!sE>TKf8da{d2^M{ZqOzs`>5`>uRy&97#g2Js-4 z&(wc2bsUmBj36uwBtP^lw%o-5c)ZeJ1pw2mKO#lE%;kYv;bNa z)G7w<_9Q!QFk))@LtXarV!YS|4M!Z;yK4Q=m>}TSeKKm(vd9W{YFg-?_HzE$*xdmh z=d#~m8C44EQ6>ErqQqB>;W=4qAuD3Oxn9YBFBZ8UY&eIu(PPQQmoG}+sWt=5oNV&R z+M`iLCSt^Do7C3_Ng>*$-!%#0_8thfhkydqu&KxFv!^w1=!0PE;V-i|?5bzpT4k7X zGTyk$7Y+r%rmHMk8FZM;lk1QqPo3TQ8dnV>r>I%Q^QWbgZA<602Xza5HVk_yQxdX< z3Bg`4%fht=?8`c1jl^Gn9PW#zkrK4}p>gev^_50`S(k~n@TgBSHYM{dzHJIxl{RIN zm=b|Cm5Luns378r5~x*VRBrj6z?@vv9zJ_L@OI>|SK-JVOVKSV#@)r*InALwQ&rx9 zRKBR*t6-Bm6%f-<1zc3s52#WcS0>u9~Yx{s;Av5BJTKHip;T6{k13 z^5oSecOJxF*s2Rihma=P-PL#hU3}b=JGE0F*?|yEk^|FmQ=aH?@zT?vWmwXHQh z8;rgm1j)M*k4am34t6{KCcIwNsq9^D$oI5%J6-sQw~(2W2Jid}(MB8oRZEi`6!Lmg zcJ@UV3c>ZJUR9@BAbfr(4Hf{KC>>=OwawUSG6!sqm*{2j1TuVM5chw%v(oBV==Cqy zG2p`m>$T&m7UEsKDx>>xgZJ=gbGtyEL}V|wEbfYPgZm)mX=rG2bG)B?azkU%l7~(5 z2Q{kX3bl0h+YgfBBNIg-TXGpzwkYU79u1Od-OJAVJc>3jr^OPD0W}jFyNAJ)*+osI zCf7@;)YSdwMd=br-WLPQ?Kuw)-+4|{4?x2neoEaQqW%&z{+T|gEaju1loFVxBN5m@ zX53y6Uagp2V(jLw!G+?B7Tt;#XZHOvkNqFC4)C_S9=Hn(*c_zT+ac8E2u26+>=dV}vdas5m$Vn)o@F3K%ax3b?} zbF2V<5O6uST}VLcm+>=&8hLu_u#xvQk372*ghD^{aJ|+my`21%{~+9YC5}1BSF_sS zr6(+#jXKvhW-GidPUqHYSNFc#uDEL2K-U_Q1KbUhm?^PX=ffb5B}lJ6BQmS{^?7HF z>t=Q`U3nf*XsB(;w|+aHT45g~cPOIi({mHf^Xz3i1dS{4^9;xq600F4t5Mm1tk3tV zmP2=bapS|L?j&<(lPG|Bjd;b!3Y~zd( z_LpqchC7Q+KtY!i7|Sh-I+L8&vVU)gf~PCZk-CCR#L`hulUKn-$fE=fQh z=v&X@cpTI%AQ-V0-(S=@cjAlXT?I0A@I92KfxGu!-8WgYz-=ZdGBp&q(|qmLc~!m% z`(oV>LX(r}`PRo~zjBk({*mZiO&nr2OTB)j`;2+C;Chq_ta zqTh7geJ!qLXO>!3&H)g3$z=0Q$9g3S16(U-xkG)4Kry)wh^M*zap1sO~ z(VMsTt#kL$Khrcd0Cz1t+IFYi6o>yIP-q99g|&F7RCA!ir*LIeK!eUx*^82Ay-}PUP`NlLGDy2#3iUe+M75!*Sh^(eIUJ?IgqYwye#(ak#hVM_(SpnKzQb zbNDYSdpXN8G%%z_hEtx+%=PU=Xhmg`B@ZO? 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zMcIwDoZ6iW5bEj7VTvQ$*m+|&X;4sOIR3K}@icoXI-KGZ?yRWJz!UwQ3dj9zI91mx z)XKqCOnKKt$kl(JFr1N-V|UAmOq3~S!iUf}C0dj-gPJqeat-fN!N|N^V|d{1ixIsg zX~$^O_i7|!em;fS*u^l8JU*m!{{qSn3!q*!Dx&!2q2NddqwSx<;TygQC0|CGHoR$8 z^i3MxOc&lj#~$-jrM%4}Gq96A+r+N@42IKjuKWB62&K;gWO{+k#bD*2NYk(X6&m9Rd2}uz#aS?Gz zGcjp-DS$jcR!B@tUQFzB0JZx6>jU5CV2FFz|Mv$CPpkjoKe&V6AJnK*b9(px14?Yn A{r~^~ literal 0 HcmV?d00001 From 212bc2e226b28942874c34797dd9eff4738fd69a Mon Sep 17 00:00:00 2001 From: Joe Ardent Date: Fri, 13 Jan 2023 17:59:22 -0800 Subject: [PATCH 09/39] checkpoint --- .../sundries/a-very-digital-artifact/index.md | 193 ++++++++++++++++-- 1 file changed, 181 insertions(+), 12 deletions(-) diff --git a/content/sundries/a-very-digital-artifact/index.md b/content/sundries/a-very-digital-artifact/index.md index 2125708..4803125 100644 --- a/content/sundries/a-very-digital-artifact/index.md +++ b/content/sundries/a-very-digital-artifact/index.md @@ -14,7 +14,8 @@ Last summer, I wanted to get my wife something nice for her birthday. For many y expressed an occasional and casual desire for a topographic carving of the state of California, where we live, and I thought it might be something I could figure out how to get her. In the end, after many dozens of hours of work, five weeks, and several hundred dollars paid to a professional -CNC machine shop, I had the artifact shown in the picture above. This is the story of its creation. +CNC machine shop, I had the artifact shown in the picture above. This is the story of its creation, +starting from knowing almost nothing about GIS, cartography, or CNC machining. # First steps @@ -32,7 +33,7 @@ available and wanted to give broad acceptable parameters), and under "project de > A relief map of California, carved from wood. Height exaggerated enough to visibly discern the Santa Monica mountains. I can provide an STL file if needed. -For some [incorrect] reason that I only later examined, I just sort of assumed that the shop would +For some [incorrect] reason that I only later examined[^introspection], I just sort of assumed that the shop would have a library of shapes available for instantiating into whatever material medium you might need. But just in case, I included that hedge about being able to provide an STL file. Needless to say, that was a bluff. @@ -101,8 +102,8 @@ But so far, I had nothing at all. Time to get some data and see if I can turn it My first impulse was to search [USGS](https://usgs.gov)'s website for [heightmap](https://en.wikipedia.org/wiki/Heightmap) data, but I wound up not finding anything -appropriate. Once again, now that I'm looking after I'm done, I found this, which would have been -perfect: +appropriate. Searching now with the wisdom of experience and hindsight, I found this, which would +have been perfect: [https://apps.nationalmap.gov/downloader/](https://apps.nationalmap.gov/downloader/) @@ -203,9 +204,9 @@ fill a rectangle that fully enclosed the entire border of California, then one b four-hundred-forty-three million, five-hundred-thirty-one thousand, and four-hundred-twenty-six (40,757 times 35,418) is pretty close. -The other units in there are under the "Coordinate System is" section, and are meters, and relative -to the [World Geodetic System 1984](https://en.wikipedia.org/wiki/World_Geodetic_System) datum; this -refers to height; the very last line is the lowest and highest points in file, in meters from that WGS84 +The other units in there are under the "Coordinate System is" section, and are meters relative to +the [World Geodetic System 1984](https://en.wikipedia.org/wiki/World_Geodetic_System) vertical +datum; the very last line is the lowest and highest points in file, in meters from that WGS84 baseline. If you were to view the file as though it were an image, it would look like this: ![the ca_topo image; it's hard to make out details and very dark][small_ca_topo] @@ -216,13 +217,179 @@ the highest point in our dataset is only 4,412, which is not that much in compar includes portions of not-California in the height data, and ideally, we want those places to be 0; we have a little more processing to do before we can use this. -## Thank you, State of California! +## Cartography is complicated The first order of business is to mask out everything that's not California, and the first thing I needed for that was a [shapefile](https://en.wikipedia.org/wiki/Shapefile) that described the California state border. Luckily, [that exact thing](https://data.ca.gov/dataset/ca-geographic-boundaries) is publicly available from the state's -website! +website; thank you, State of California! + +There was only one issue: the shapefile was in a different [map +projection](https://en.wikipedia.org/wiki/Map_projection) than the data in our geotiff file. A "map +projection" is just the term for how you display a curved, 3D shape (like the border of a state on the +curved surface of the Earth) on a flat, 2D surface, like a map. If you look at the line in the +output of `gdalinfo` above that says, `ID["EPSG",4326]`, that is telling us the particular +projection used. [EPSG 4326](https://en.wikipedia.org/wiki/EPSG_Geodetic_Parameter_Dataset) uses +latitude and longitude, expressed in degrees, covers the entire Earth including the poles, and +references the WGS84 ellipsoid as the ground truth. + +The shapefile was in a projection called [EPSG +3857](https://en.wikipedia.org/wiki/Web_Mercator_projection), or "Web Mercator". This is similar to +EPSG 4326, except instead of using the WGS84 ellipsoid, it pretends the Earth is a perfect +sphere. It only covers +/- 85-ish degrees of latitude (so not the poles), and it uses meters instead +of degrees of lat/long. It's popular with online map services (like Google Maps and Open Street +Maps) for displaying maps, hence the name, "Web Mercator", so you'd probably recognize the shapes of +things in it. + +Once again, there's a [handy GDAL tool](https://gdal.org/programs/gdalwarp.html), `gdalwarp`, which +is for reprojecting geotiffs. So all we have to do is take our 4326-projected geotiff, use +`gdalwarp` to project it to 3857/Web Mercator, and then we can use the shapefile to mask off all +other height data outside the border of California. + +It's almost *too* easy: + +> gdalwarp -t_srs EPSG:3857 ca_topo.tif ca_topo_mercator.tif + +This gives us a 3857-projected file called `ca_topo_mercator.tif`. It still has over a billion +pixels in it and it's still almost the same size (though it's slightly different now, with the +different projection); scaling it down is a last step, since at that point, it will no longer be a +digital elevation map, it will just be an image. But we'll get there. + +Cracking open `gdalinfo`, we get: + +``` text +$ gdalinfo ca_topo_mercator.tif +Driver: GTiff/GeoTIFF +Files: ca_topo_mercator.tif +Size is 36434, 39852 +Coordinate System is: +PROJCRS["WGS 84 / Pseudo-Mercator", + BASEGEOGCRS["WGS 84", + ENSEMBLE["World Geodetic System 1984 ensemble", + MEMBER["World Geodetic System 1984 (Transit)"], + MEMBER["World Geodetic System 1984 (G730)"], + MEMBER["World Geodetic System 1984 (G873)"], + MEMBER["World Geodetic System 1984 (G1150)"], + MEMBER["World Geodetic System 1984 (G1674)"], + MEMBER["World Geodetic System 1984 (G1762)"], + MEMBER["World Geodetic System 1984 (G2139)"], + ELLIPSOID["WGS 84",6378137,298.257223563, + LENGTHUNIT["metre",1]], + ENSEMBLEACCURACY[2.0]], + PRIMEM["Greenwich",0, + ANGLEUNIT["degree",0.0174532925199433]], + ID["EPSG",4326]], + CONVERSION["Popular Visualisation Pseudo-Mercator", + METHOD["Popular Visualisation Pseudo Mercator", + ID["EPSG",1024]], + PARAMETER["Latitude of natural origin",0, + ANGLEUNIT["degree",0.0174532925199433], + ID["EPSG",8801]], + PARAMETER["Longitude of natural origin",0, + ANGLEUNIT["degree",0.0174532925199433], + ID["EPSG",8802]], + PARAMETER["False easting",0, + LENGTHUNIT["metre",1], + ID["EPSG",8806]], + PARAMETER["False northing",0, + LENGTHUNIT["metre",1], + ID["EPSG",8807]]], + CS[Cartesian,2], + AXIS["easting (X)",east, + ORDER[1], + LENGTHUNIT["metre",1]], + AXIS["northing (Y)",north, + ORDER[2], + LENGTHUNIT["metre",1]], + USAGE[ + SCOPE["Web mapping and visualisation."], + AREA["World between 85.06°S and 85.06°N."], + BBOX[-85.06,-180,85.06,180]], + ID["EPSG",3857]] +Data axis to CRS axis mapping: 1,2 +Origin = (-13927135.110024485737085,5178117.270359318703413) +Pixel Size = (34.591411839078859,-34.591411839078859) +Metadata: + AREA_OR_POINT=Area +Image Structure Metadata: + INTERLEAVE=BAND +Corner Coordinates: +Upper Left (-13927135.110, 5178117.270) (125d 6'34.50"W, 42d 6'51.50"N) +Lower Left (-13927135.110, 3799580.326) (125d 6'34.50"W, 32d16'33.21"N) +Upper Right (-12666831.611, 5178117.270) (113d47'17.10"W, 42d 6'51.50"N) +Lower Right (-12666831.611, 3799580.326) (113d47'17.10"W, 32d16'33.21"N) +Center (-13296983.361, 4488848.798) (119d26'55.80"W, 37d21'21.69"N) +Band 1 Block=36434x1 Type=Int16, ColorInterp=Gray + +``` + +You can see that the `PROJCRS[ID]` value is `"EPSG,3857"`, as expected. The "pixel size" is +"34.591411...." since the "lengthunit" is "metre". But the number of pixels is different; it's not +as wide, yet the coordinates of the bounding corners are the same as the original file (the latitude +and longitude given as the second tuple). + +## The one custom script + +So, the next step was use our shapefile to mask out the California border in our geotiff. Here is +where GDAL failed me, and looking around now as I write this, I still can't find a specific GDAL +tool for doing this. Given how useful I found all the other tools, I can't really complain, so I +won't! It wasn't that hard to write something that would do it with other open source tools; I +didn't even bother checking this into a git repo or anything: + +``` python +#!/usr/bin/env python3 + +import fiona # for reading the shapefile +import rasterio # for working with the geotiff +import rasterio.mask as rmask + +import sys + +def main(): + tif = sys.argv[1] + msk = sys.argv[2] + out = sys.argv[3] + + print("input: {tif}\nmask: {msk}\noutput: {out}".format(tif=tif, msk=msk, out=out)) + if input("Enter 'y' to continue: ").lower() != 'y': # double-check I don't stomp something I wanted to keep + print("See ya.") + return + + with fiona.open(msk, "r") as shapefile: + shapes = [feature["geometry"] for feature in shapefile] + + with rasterio.open(tif) as in_tif: + out_image, out_xform = rmask.mask(in_tif, shapes, filled=True, crop=True) + out_meta = in_tif.meta + out_meta.update({"driver": "GTiff", + "height": out_image.shape[1], + "width": out_image.shape[2], + "transform": out_xform}) + for k, v in out_meta.items(): + print("{}: {}".format(k, v)) # just outta curiosity + + with rasterio.open(out, "w", **out_meta) as dest: + dest.write(out_image) + + print("Wrote masked tif to {}".format(out)) + + return + +if __name__ == "__main__": + main() +``` + +I include that just in case anyone else ever needs to do this, and doesn't find one of the hundreds +of other examples out there already. This one is nice because you don't need to pre-process the +shapefile into [GeoJSON](https://geojson.org/) or anything, the +[Fiona](https://pypi.org/project/Fiona/1.4.2/) package handles things like that transparently for +you, but don't think this is great python or something, it's the dumbest, quickest thing I crapped +out to do the task I needed to be done. + +## A usable heightmap + +# A mesh is born # Test prints @@ -235,7 +402,7 @@ website! thank you: wife, steve at the shop, friends indulging my oversharing, NASA, Blender, FreeCAD lesson: I started basically knowing nothing, but now retracing my steps I feel like I understand everything -much better than when I was first racing through the domain trying to get to a point where I could +much better than when I was first racing through the material trying to get to a point where I could just produce the artifact. lesson: pipeline of geotiff -> mask -> scaled heightmap -> mesh -> solid body @@ -257,6 +424,8 @@ given how much I had to blur and decimate)? [small_ca_topo]: small_ca_topo.png "a 'raw' heightmap of california and parts of nevada, arizona, and mexico" +[^introspection]: The conclusion upon examination was, "I just wasn't thinking". + [^math-computers]: I'm pretty sure this is more "represent shapes with math" than with a computer, but the computer is helping us do the math and it's more relatable. @@ -269,10 +438,10 @@ deck](https://pages.mtu.edu/~shene/COURSES/cs3621/SLIDES/Mesh.pdf) for a pretty "mesh basics" (but not really that basic, that's just academics trolling us, don't let it bother you). If I'm wrong about a 2D sheet with a hole being possibly manifold, I invite correction! -[^chekhovs-ram]: A classic example of Chekhov's Scarce Computational Resource. +[^chekhovs-ram]: A textbook example of *Chekhov's Scarce Computational Resource*. [^16-bit-ints]: Each pixel is 16 bits, so the possible values are from 0 to 2^16 - 1. 2^16 is 65536, so there you go. [^wgs-ellipsoid]: Technically, it's an arc along the WGS84 ellipsoid, which is a perfectly smooth -*smushed* sphere, which more closely matches the real shape of the Earth vs. a perfect sphere. +*smushed* sphere, which more closely matches the real shape of the Earth vs. a perfectly round sphere. From dba851bfa76e49156e7e23def581505641cb24d6 Mon Sep 17 00:00:00 2001 From: Joe Ardent Date: Sat, 14 Jan 2023 18:07:03 -0800 Subject: [PATCH 10/39] checkpoint --- .../sundries/a-very-digital-artifact/index.md | 128 +++++++++++++----- .../scaled_heightmap.png | Bin 0 -> 3135349 bytes 2 files changed, 91 insertions(+), 37 deletions(-) create mode 100644 content/sundries/a-very-digital-artifact/scaled_heightmap.png diff --git a/content/sundries/a-very-digital-artifact/index.md b/content/sundries/a-very-digital-artifact/index.md index 4803125..aebac35 100644 --- a/content/sundries/a-very-digital-artifact/index.md +++ b/content/sundries/a-very-digital-artifact/index.md @@ -69,12 +69,12 @@ described by three 3D points, where each point (but not necessarily each edge) o on the surface of the shape of the thing you're modeling. This format is popular with 3D printers, which is how I became familiar with it. -STL is simple to implement and easy for a computer to read, but if you have a model in that -format that you need to manipulate, like you want to merge it with another shape, you won't have a -good time. In order to actually do things like change the shape of the model, it needs to be -converted into a CAD program's native representation of a "solid body", which is pretty much what it -sounds like: a shape made of a finite volume of "stuff", and NOT just an infinitesimally thin shell -enclosing an empty volume, which is what the STL mesh is. +STL is simple to implement and easy for a computer to read, but if you have a model in that format +that you need to manipulate, like you want to merge it with another shape, you won't have a good +time. In order to actually do things like that, it needs to be converted into a CAD program's native +representation of a "solid body", which is pretty much what it sounds like: a shape made of a finite +volume of "stuff", and NOT just an infinitesimally thin shell enclosing an empty volume, which is +what a mesh is. In order for the CAD program to convert a mesh into a solid body, the mesh must be *manifold*, meaning, no missing faces (triangles), and with a clearly-defined interior and exterior (all @@ -89,7 +89,7 @@ is the extension for a "STEP" file; STEP is supposed to be short for "standard f product data", so someone was playing pretty fast and loose with their initialisms, but I digress. The main thing about STEP files is that CAD programs can really easily convert them into their native internal solid body representation, which allows easy manipulation. Another thing -about them is that a CAD program can usually turn an STL file into an STP file, unless the mesh is +about them is that a CAD program can usually turn a manifold mesh into an STP file, unless the mesh is too complicated and your computer doesn't have enough RAM (*note: foreshadowing*[^chekhovs-ram]). ![an overly-complicated mesh of a cube][meshy-cube] @@ -136,9 +136,9 @@ shabby! They provided the data in the form of [GeoTIFF](https://en.wikipedia.org/wiki/GeoTIFF)s, which are basically an image where each pixel represents one data point (so, a 30x30 square meter plot) -centered at a particular location on the Earth's surface. It's a monochrome image, where height is -mapped to brightness, so the lowest spot's value is `0` (black), and the highest spot is -`65535`[^16-bit-ints] (brightest white). +centered at a particular location on the Earth's surface. It's a monochrome image, where absolute +height is mapped to absolute brightness of each pixel, and each pixel represents an exact location +in the world. The only problem was that you could only download data covering up to 450,000 square kilometers at a time, so I had had to download a bunch of separate files and then mosaic them together. Luckily, @@ -147,7 +147,7 @@ there's a whole suite of open source tools called `gdal_merge.py` (yes, the `.py` is part of the name of the tool that gets installed to your system when you install the GDAL tools), which does exactly what I wanted: -> gdal_merge.py -o ca_topo.tif norcal_topo.tif centcal_topo.tif socal_topo.tif so_cent_cal_topo.tif norcal_topo_redux.tif last_bit.tif east_ca.tif +> `gdal_merge.py -o ca_topo.tif norcal_topo.tif centcal_topo.tif socal_topo.tif so_cent_cal_topo.tif norcal_topo_redux.tif last_bit.tif east_ca.tif` This produced a file called `ca_topo.tif`. It was very large, in every sense: @@ -194,28 +194,28 @@ Band 1 Block=40757x1 Type=Int16, ColorInterp=Gray Computed Min/Max=-130.000,4412.000 ``` -If I may draw your attention to a couple things there, that's an image that's 40,757 pixels wide and -35,418 pixels tall. The "pixel size" is 0.000277777777778 by 0.000277777777778; since each pixel is -1 arc second, and 1 arc second is 1/3600th of a degree, and 1/3600 is 0.000277777777..., we -can infer that the unit of size there is degrees of arc along the surface of the Earth[^wgs-ellipsoid], at a -distance measured from the center of the planet. As previously mentioned, that translates into a size -of roughly 30 meters. So if you were ever curious about how many 100-ish-foot squares you'd need to -fill a rectangle that fully enclosed the entire border of California, then one billion, -four-hundred-forty-three million, five-hundred-thirty-one thousand, and four-hundred-twenty-six -(40,757 times 35,418) is pretty close. +If I may draw your attention to a couple things there, the image is 40,757 pixels wide and 35,418 +pixels tall. The "pixel size" is 0.000277777777778 by 0.000277777777778; the units, given by the +"angleunit", is degrees; 1 arc second is 1/3600th of a degree, which is 0.01754... They're degrees +of arc along the surface of the Earth[^wgs-ellipsoid], at a distance measured from the center of the +planet. As previously mentioned, that translates into a size of roughly 30 meters. So if you were +ever curious about how many 100-ish-foot squares you'd need to fill a rectangle that fully enclosed +the entire border of California, then one billion, four-hundred-forty-three million, +five-hundred-thirty-one thousand, and four-hundred-twenty-six (40,757 times 35,418) is pretty close. The other units in there are under the "Coordinate System is" section, and are meters relative to the [World Geodetic System 1984](https://en.wikipedia.org/wiki/World_Geodetic_System) vertical -datum; the very last line is the lowest and highest points in file, in meters from that WGS84 -baseline. If you were to view the file as though it were an image, it would look like this: +datum; the very last line is the lowest and highest points in file, which are -130 meters and 4,412 meters respectively, relative to the baseline height +defined by the WGS84 ellipsoid. If you were to view the file as though it were an image, it would look like this: ![the ca_topo image; it's hard to make out details and very dark][small_ca_topo] *

    if you squint, you can kinda see the mountains
    * -This is because the highest possible value an image like that could have for a pixel is 65,535, and -the highest point in our dataset is only 4,412, which is not that much in comparison. Plus, it -includes portions of not-California in the height data, and ideally, we want those places to be 0; -we have a little more processing to do before we can use this. +This is because the highest possible value an image like that could have for a pixel is +65,535[^16-bit-ints], and the highest point in our dataset is only 4,412, which is not that much in +comparison. Plus, it includes portions of not-California in the height data, and ideally, we want +those places to be 0; we have a little more processing to do before we can use this. ## Cartography is complicated @@ -247,14 +247,15 @@ is for reprojecting geotiffs. So all we have to do is take our 4326-projected ge `gdalwarp` to project it to 3857/Web Mercator, and then we can use the shapefile to mask off all other height data outside the border of California. -It's almost *too* easy: +It's almost *too* easy. > gdalwarp -t_srs EPSG:3857 ca_topo.tif ca_topo_mercator.tif This gives us a 3857-projected file called `ca_topo_mercator.tif`. It still has over a billion -pixels in it and it's still almost the same size (though it's slightly different now, with the -different projection); scaling it down is a last step, since at that point, it will no longer be a -digital elevation map, it will just be an image. But we'll get there. +pixels in it (it's a little bigger overall, but the aspect is +much wider, with the different projection); scaling it down will be a very last step, since at that +point, it will no longer be a digital elevation map, it will just be an image. We'll get there, +just not yet. Cracking open `gdalinfo`, we get: @@ -321,17 +322,18 @@ Upper Right (-12666831.611, 5178117.270) (113d47'17.10"W, 42d 6'51.50"N) Lower Right (-12666831.611, 3799580.326) (113d47'17.10"W, 32d16'33.21"N) Center (-13296983.361, 4488848.798) (119d26'55.80"W, 37d21'21.69"N) Band 1 Block=36434x1 Type=Int16, ColorInterp=Gray - ``` You can see that the `PROJCRS[ID]` value is `"EPSG,3857"`, as expected. The "pixel size" is -"34.591411...." since the "lengthunit" is "metre". But the number of pixels is different; it's not -as wide, yet the coordinates of the bounding corners are the same as the original file (the latitude -and longitude given as the second tuple). +"34.591411...." and the "lengthunit" is "metre". But the number of pixels is different, and the +shape is different, yet the coordinates of the bounding corners are the same as the original file's +(the latitude and longitude given as the second tuple). This is all from the Web Mercator's different +projection causing the aspect ratio to stretch horizontally, but it still represents the same area +of the planet. ## The one custom script -So, the next step was use our shapefile to mask out the California border in our geotiff. Here is +So, the next step was use the shapefile to mask out the California border in the geotiff. Here is where GDAL failed me, and looking around now as I write this, I still can't find a specific GDAL tool for doing this. Given how useful I found all the other tools, I can't really complain, so I won't! It wasn't that hard to write something that would do it with other open source tools; I @@ -384,11 +386,56 @@ I include that just in case anyone else ever needs to do this, and doesn't find of other examples out there already. This one is nice because you don't need to pre-process the shapefile into [GeoJSON](https://geojson.org/) or anything, the [Fiona](https://pypi.org/project/Fiona/1.4.2/) package handles things like that transparently for -you, but don't think this is great python or something, it's the dumbest, quickest thing I crapped -out to do the task I needed to be done. +you, but don't think this is great Python or anything; it's the dumbest, quickest thing I could crap +out to do the task I needed to be done[^the-real-treasure-is-the-gd-treasure]. + +After running that script, I had a Web Mercator-projected geotiff that included data only for places +inside the state border of California. It was still enormous; the mask didn't change the shape and +you can't have non-rectangular images anyway, but at this point, I had the final desired +dataset. It was time to turn it into a heightmap that we could use to make a mesh. ## A usable heightmap +I've been trying to be careful about referring to the image file as a "dataset" or "geotiff", vs. a +"heightmap". A geotiff file is not a regular image file, it includes particular metadata and data +that is meant to be interpreted as a real map of the land; each pixel in it says something about an exact, +actual location in the real world. + +A "heightmap" is an image file, like a geotiff, where each pixel's monochromatic intensity is meant +to represent height above some lowest plane. The difference is that the height values are normalized +so that the lowest value is 0, and the highest is the maximum possible value in the number +range. For our geotiff, which uses 16-bit numbers as previously mentioned, that maximum possible +value is 65,535. It also has no exact correspondence with anything else; it's not necessarily an +accurate dataset, and won't include the GIS stuff like what projection it is, what the coordinate +bounding boxes are, etc. But it *is* useful for turning into a mesh. + +And here I get to the [final GDAL tool](https://gdal.org/programs/gdal_translate.html) I used, +`gdal_translate`. This is something that can read in a geotiff, and write out a different image +format. When in doubt, [PNG](https://en.wikipedia.org/wiki/Portable_Network_Graphics) is fine, I +always say. It's a simple format that nearly everything can read, and is compressed so it should be +much smaller file. + +> `gdal_translate -of PNG -ot UInt16 -scale -130 4412 0 65535 masked_ca_topo.tif heightmap.png` + +Like we saw earlier, the lowest point we had was -130, and the highest +was 4,412. The `-scale -130 4412 0 65535` arguments are saying, "anything with a height of -130 +should be set to 0, and anything with a height of 4,412 should be set to 65,535, and anything +in-between should be set proportionately." This is a linear mapping, and preserves the relationships +between vertical features (so, if something is twice as tall as another thing, that will +still be true after being scaled), so it's "accurate" in a sense (*note: more foreshadowing*). + +Once I had the PNG file, I used the [ImageMagick](https://imagemagick.org/script/convert.php) `convert` +command to scale the file down to a reasonable size. Finally, I had something I could use to make a +mesh: + +![the heightmap made by doing a linear scale of height to brightness][scaled_heightmap] + +Pretty cool, right? I thought so! The detail is pretty great; that bright spot near the top is +[Mt. Shasta](https://en.wikipedia.org/wiki/Mount_Shasta), for example; +[Mt. Whitney](https://en.wikipedia.org/wiki/Mount_Whitney) is slightly taller, but not by much, and +is part of a range so it doesn't stand out the way Shasta does. It was time to start making some 3D +geometry with the heightmap! + # A mesh is born # Test prints @@ -424,6 +471,8 @@ given how much I had to blur and decimate)? [small_ca_topo]: small_ca_topo.png "a 'raw' heightmap of california and parts of nevada, arizona, and mexico" +[scaled_heightmap]: scaled_heightmap.png "the heightmap made by doing a linear mapping of height to brightness" + [^introspection]: The conclusion upon examination was, "I just wasn't thinking". [^math-computers]: I'm pretty sure this is more "represent shapes with math" than with a computer, but @@ -445,3 +494,8 @@ so there you go. [^wgs-ellipsoid]: Technically, it's an arc along the WGS84 ellipsoid, which is a perfectly smooth *smushed* sphere, which more closely matches the real shape of the Earth vs. a perfectly round sphere. + +[^the-real-treasure-is-the-gd-treasure]: A friend posited at one point that my circuitous journey to +the end product was the point, but I assured him that every step I took was trying to get to the end +product as quickly and straightforwardly as possible. 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checkpoint the post --- .../sundries/a-very-digital-artifact/index.md | 54 +++++++++++-------- 1 file changed, 31 insertions(+), 23 deletions(-) diff --git a/content/sundries/a-very-digital-artifact/index.md b/content/sundries/a-very-digital-artifact/index.md index aebac35..9fc6b1b 100644 --- a/content/sundries/a-very-digital-artifact/index.md +++ b/content/sundries/a-very-digital-artifact/index.md @@ -1,7 +1,7 @@ +++ title = "A Thoroughly Digital Artifact" slug = "a-thoroughly-digital-artifact" -date = "2023-01-11" +date = "2023-01-17" [taxonomies] tags = ["3dprinting", "CAD", "GIS", "CNC", "art", "sundries", "proclamation"] +++ @@ -40,7 +40,7 @@ say, that was a bluff. ![the programmer's creed: we do these things not because they are easy, but because we thought they were going to be easy -- from twitter user @unoservix, 2016-08-05][programmers_creed] -*

    me, every single time
    * +*
    me, every. single. time.
    * Also needless to say, my bluff was immediately called, and I had the following exchange with the shop: @@ -96,7 +96,7 @@ too complicated and your computer doesn't have enough RAM (*note: foreshadowing* *
    this cube's mesh has too many vertices and edges, I hope my computer has enough RAM to work with it
    * -But so far, I had nothing at all. Time to get some data and see if I can turn it into a model. +But at that moment, I had nothing at all. Time to get some data and see if I can turn it into a model. # Public data @@ -107,16 +107,16 @@ have been perfect: [https://apps.nationalmap.gov/downloader/](https://apps.nationalmap.gov/downloader/) -Did I just accidentally miss it then? Did I not know how to recognize it because I didn't know what -I was doing *at all*? The world may never know, but at least now you can benefit from my many, many -missteps. +Did I just accidentally miss it then? Did I find it and not recognize its utility because I didn't +know what I was doing *at all*? The world may never know, but at least now you can benefit from my +many, many missteps. ## From space? Anyway, having not found anything I could really use from the USGS, I found [this site](https://portal.opentopography.org/raster?opentopoID=OTSRTM.082015.4326.1), from OpenTopography, an organization run by the UCSD Supercomputer Center, under a grant from the -National Science Foundation. So, hooray for public data! +National Science Foundation. So, still hooray for public data! That particular page is for a particular dataset; in this case, "[SRTM GL1](http://www2.jpl.nasa.gov/srtm/) Global 30m". "SRTM" stands for "[Shuttle Radar Topography @@ -204,10 +204,12 @@ the entire border of California, then one billion, four-hundred-forty-three mill five-hundred-thirty-one thousand, and four-hundred-twenty-six (40,757 times 35,418) is pretty close. The other units in there are under the "Coordinate System is" section, and are meters relative to -the [World Geodetic System 1984](https://en.wikipedia.org/wiki/World_Geodetic_System) vertical -datum; the very last line is the lowest and highest points in file, which are
    -130 meters and 4,412 meters respectively, relative to the baseline height -defined by the WGS84 ellipsoid. If you were to view the file as though it were an image, it would look like this: +defined by the WGS84 ellipsoid. If you were to view the file as though it were an image, it would +look like this: ![the ca_topo image; it's hard to make out details and very dark][small_ca_topo] *
    if you squint, you can kinda see the mountains
    * @@ -215,7 +217,8 @@ defined by the WGS84 ellipsoid. If you were to view the file as though it were a This is because the highest possible value an image like that could have for a pixel is 65,535[^16-bit-ints], and the highest point in our dataset is only 4,412, which is not that much in comparison. Plus, it includes portions of not-California in the height data, and ideally, we want -those places to be 0; we have a little more processing to do before we can use this. +those places to not be represented in our dataset; we have a little more processing to do before we +can use this. ## Cartography is complicated @@ -404,25 +407,28 @@ actual location in the real world. A "heightmap" is an image file, like a geotiff, where each pixel's monochromatic intensity is meant to represent height above some lowest plane. The difference is that the height values are normalized so that the lowest value is 0, and the highest is the maximum possible value in the number -range. For our geotiff, which uses 16-bit numbers as previously mentioned, that maximum possible -value is 65,535. It also has no exact correspondence with anything else; it's not necessarily an -accurate dataset, and won't include the GIS stuff like what projection it is, what the coordinate -bounding boxes are, etc. But it *is* useful for turning into a mesh. +range. For geotiff digital elevation maps, which use 16-bit numbers as previously mentioned, that +maximum possible value is 65,535. But unlike a geotiff, a generic heightmap has no exact +correspondence with anything else; it's not necessarily an accurate dataset, and won't include the +GIS stuff like what projection it is, what the coordinate bounding boxes are, etc. But it *is* +useful for turning into a mesh. And here I get to the [final GDAL tool](https://gdal.org/programs/gdal_translate.html) I used, `gdal_translate`. This is something that can read in a geotiff, and write out a different image format. When in doubt, [PNG](https://en.wikipedia.org/wiki/Portable_Network_Graphics) is fine, I always say. It's a simple format that nearly everything can read, and is compressed so it should be -much smaller file. +a much smaller file on disk, even if it's the same number of pixels. Smaller file size is always +easier. > `gdal_translate -of PNG -ot UInt16 -scale -130 4412 0 65535 masked_ca_topo.tif heightmap.png` -Like we saw earlier, the lowest point we had was -130, and the highest -was 4,412. The `-scale -130 4412 0 65535` arguments are saying, "anything with a height of -130 -should be set to 0, and anything with a height of 4,412 should be set to 65,535, and anything -in-between should be set proportionately." This is a linear mapping, and preserves the relationships -between vertical features (so, if something is twice as tall as another thing, that will -still be true after being scaled), so it's "accurate" in a sense (*note: more foreshadowing*). +Like we saw earlier, the lowest point we had in our data was -130 +meters, and the highest was 4,412. The `-scale -130 4412 0 65535` arguments are saying, "anything +with a height of -130 should be totally dark, and anything with a height of 4,412 should be as +bright as possible, and anything in-between should be set proportionately." This is a linear +mapping, and preserves the relationships between vertical features (that is, if something is twice +as tall as another thing, that will still be true after being scaled), so in a sense, it's +"accurate" (*note: more foreshadowing*). Once I had the PNG file, I used the [ImageMagick](https://imagemagick.org/script/convert.php) `convert` command to scale the file down to a reasonable size. Finally, I had something I could use to make a @@ -438,9 +444,11 @@ geometry with the heightmap! # A mesh is born + + # Test prints -## Give it a good smear +## Back to the realm of the image # Final cut From 8ea8fbf5996584ff7b7d898b61d1e3fe01f33ff2 Mon Sep 17 00:00:00 2001 From: Joe Ardent Date: Sat, 14 Jan 2023 23:22:30 -0800 Subject: [PATCH 12/39] add rc scout to page template --- sass/parts/{_misc.scss => misc.scss} | 6 +++++- templates/page.html | 6 ++++++ 2 files changed, 11 insertions(+), 1 deletion(-) rename sass/parts/{_misc.scss => misc.scss} (96%) diff --git a/sass/parts/_misc.scss b/sass/parts/misc.scss similarity index 96% rename from sass/parts/_misc.scss rename to sass/parts/misc.scss index cecb254..1809f10 100644 --- a/sass/parts/_misc.scss +++ b/sass/parts/misc.scss @@ -11,6 +11,10 @@ background-color: var(--primary-color); } +.footer { + font-size: 0.33rem; +} + ::-moz-selection { background: var(--primary-color); color: var(--hover-color); @@ -60,4 +64,4 @@ time { margin: 0; padding: 0; } -} \ No newline at end of file +} diff --git a/templates/page.html b/templates/page.html index 1147d9b..9f84c00 100644 --- a/templates/page.html +++ b/templates/page.html @@ -4,4 +4,10 @@ {{ post_macros::content(page=page) }}
    {{ post_macros::tags(page=page, short=true) }} +
    +
    +

    + {% endblock main_content %} From 6caebf2e93a59204a219ed41e396ca46d29dae4a Mon Sep 17 00:00:00 2001 From: Joe Ardent Date: Sat, 14 Jan 2023 23:26:12 -0800 Subject: [PATCH 13/39] make the rc scout text smaller --- sass/parts/misc.scss | 4 ++-- templates/page.html | 5 +++-- 2 files changed, 5 insertions(+), 4 deletions(-) diff --git a/sass/parts/misc.scss b/sass/parts/misc.scss index 1809f10..0aabe03 100644 --- a/sass/parts/misc.scss +++ b/sass/parts/misc.scss @@ -11,8 +11,8 @@ background-color: var(--primary-color); } -.footer { - font-size: 0.33rem; +.hias-footer { + font-size: 0.4rem; } ::-moz-selection { diff --git a/templates/page.html b/templates/page.html index 9f84c00..65f29a6 100644 --- a/templates/page.html +++ b/templates/page.html @@ -5,9 +5,10 @@
    {{ post_macros::tags(page=page, short=true) }}
    - {% endblock main_content %} From 9b5905b8594be7e8c4d8ce59eb05ac0bf5c63d7b Mon Sep 17 00:00:00 2001 From: Joe Ardent Date: Sat, 14 Jan 2023 23:33:31 -0800 Subject: [PATCH 14/39] tweak the css --- sass/parts/_image.scss | 8 ++++++-- sass/parts/misc.scss | 1 + 2 files changed, 7 insertions(+), 2 deletions(-) diff --git a/sass/parts/_image.scss b/sass/parts/_image.scss index 447f930..4cf64b8 100644 --- a/sass/parts/_image.scss +++ b/sass/parts/_image.scss @@ -1,6 +1,10 @@ img { border: 3px solid #ececec; max-width: 100%; + display: block; + margin-left: auto; + margin-right: auto; + margin-bottom: 3px; } figure { @@ -31,5 +35,5 @@ figure h4::before { } svg { - max-height: 15px; -} \ No newline at end of file + max-height: 30px; +} diff --git a/sass/parts/misc.scss b/sass/parts/misc.scss index 0aabe03..b870c80 100644 --- a/sass/parts/misc.scss +++ b/sass/parts/misc.scss @@ -12,6 +12,7 @@ } .hias-footer { + text-align: center; font-size: 0.4rem; } From 9b7c57bdf2d534913a63e73878cdc10f28d6a791 Mon Sep 17 00:00:00 2001 From: Joe Ardent Date: Sun, 15 Jan 2023 22:35:01 -0800 Subject: [PATCH 15/39] checkpoint post, add images --- .../blurred_scaled_hm_3.png | Bin 0 -> 1089064 bytes .../sundries/a-very-digital-artifact/index.md | 63 +++++++++++++++--- .../lo-rez_blurred_hm3.png | Bin 0 -> 750558 bytes .../pointy_california_blending.png | Bin 0 -> 493887 bytes .../pointy_shasta_close-up.png | Bin 0 -> 257727 bytes .../scaled_heightmap.png | Bin 3135349 -> 1179803 bytes 6 files changed, 53 insertions(+), 10 deletions(-) create mode 100644 content/sundries/a-very-digital-artifact/blurred_scaled_hm_3.png create mode 100644 content/sundries/a-very-digital-artifact/lo-rez_blurred_hm3.png create mode 100644 content/sundries/a-very-digital-artifact/pointy_california_blending.png create mode 100644 content/sundries/a-very-digital-artifact/pointy_shasta_close-up.png diff --git a/content/sundries/a-very-digital-artifact/blurred_scaled_hm_3.png 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Time to get some data and see if I can # Public data -My first impulse was to search [USGS](https://usgs.gov)'s website for -[heightmap](https://en.wikipedia.org/wiki/Heightmap) data, but I wound up not finding anything -appropriate. Searching now with the wisdom of experience and hindsight, I found this, which would -have been perfect: +My first impulse was to search [USGS](https://usgs.gov)'s website for [digital elevation +map](https://en.wikipedia.org/wiki/Digital_elevation_model) data, but I wound up not finding +anything appropriate. Searching now with the wisdom of experience and hindsight, I found this, which +would have been perfect: [https://apps.nationalmap.gov/downloader/](https://apps.nationalmap.gov/downloader/) @@ -113,8 +113,8 @@ many, many missteps. ## From space? -Anyway, having not found anything I could really use from the USGS, I found [this -site](https://portal.opentopography.org/raster?opentopoID=OTSRTM.082015.4326.1), from +Anyway, having not found anything I could really use from the USGS through all fault of my own, I +found [this site](https://portal.opentopography.org/raster?opentopoID=OTSRTM.082015.4326.1), from OpenTopography, an organization run by the UCSD Supercomputer Center, under a grant from the National Science Foundation. So, still hooray for public data! @@ -431,7 +431,7 @@ as tall as another thing, that will still be true after being scaled), so in a s "accurate" (*note: more foreshadowing*). Once I had the PNG file, I used the [ImageMagick](https://imagemagick.org/script/convert.php) `convert` -command to scale the file down to a reasonable size. Finally, I had something I could use to make a +command to resize the file down to a reasonable size. Finally, I had something I could use to make a mesh: ![the heightmap made by doing a linear scale of height to brightness][scaled_heightmap] @@ -440,16 +440,45 @@ Pretty cool, right? I thought so! The detail is pretty great; that bright spot n [Mt. Shasta](https://en.wikipedia.org/wiki/Mount_Shasta), for example; [Mt. Whitney](https://en.wikipedia.org/wiki/Mount_Whitney) is slightly taller, but not by much, and is part of a range so it doesn't stand out the way Shasta does. It was time to start making some 3D -geometry with the heightmap! +geometry with the heightmap[^time-to-mesh]! # A mesh is born +My next step was to figure out how exactly to turn that heightmap into a mesh. Some searching +assured me that [Blender](https://www.blender.org/), a free and open source 3D modeling package that +I'd dabbled with before, would work well. For example, here's a pretty high-level walk-through of +[how to use a heightmap to displace a mesh +plane](https://alanedwardes.com/blog/posts/create-meshes-from-height-maps-using-blender/), which is +definitely the first step I needed to take. Before too long, I had something that looked like this: +![a very pointy california topo][pointy-california] + +At first glance, it looks OK, but there's so. much. detail. And it's very, very pointy; it just +looks jagged. Check out this close-up detail of Mt. Shasta: + +![a very pointy mt shasta][pointy-shasta] + +You can tell that would not be pleasant to touch, and being able to run your fingers along the shape +was a huge part of the appeal of the artifact. + +## Back to the realm of images + +Given that it seemed like there were a couple semi-related problems with there being too much +detail, my first thought was to blur the heightmap, and then reduce the size of it. I used the +ImageMagick `convert` command [to blur the image](https://legacy.imagemagick.org/Usage/blur/) a +couple rounds, and then resized it down: + +![first attempt at blurring the heightmap][blurry-linear-hm] + +This was a little better, but still not great. A few more rounds of blurring and shrinking got me +this: + +![second round of blurring the heightmap][blurry-linear-hm-smaller] + +With that version, I was able to produce some reasonably smooth-looking geometry in Blender: # Test prints -## Back to the realm of the image - # Final cut # Thank yous, lessons learned, and open questions @@ -481,6 +510,14 @@ given how much I had to blur and decimate)? [scaled_heightmap]: scaled_heightmap.png "the heightmap made by doing a linear mapping of height to brightness" +[pointy-california]: pointy_california_blending.png "the displaced mesh plane made from the first heightmap" + +[pointy-shasta]: pointy_shasta_close-up.png "a very pointy mt shasta" + +[blurry-linear-hm]: blurred_scaled_hm_3.png "first attempt at blurred heightmap" + +[blurry-linear-hm-smaller]: lo-rez_blurred_hm3.png "second round of blurring the heightmap" + [^introspection]: The conclusion upon examination was, "I just wasn't thinking". [^math-computers]: I'm pretty sure this is more "represent shapes with math" than with a computer, but @@ -507,3 +544,9 @@ so there you go. the end product was the point, but I assured him that every step I took was trying to get to the end product as quickly and straightforwardly as possible. 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