This is an experiment to test the viability of visualizing material removal in the context of a 2.5 cnc milling machine.
This approach could probably be used for FDM 3d printing as well, but that is not my primary focus at this time.
The main approach here is called "raymarching signed distance fields" and derives from a technique popularized in the 4k demo scene by Iñigo Quílez. The foundation of ray marching comes from a technique called "Sphere Marching"
We're not going to get into the intimate details of raymarching here, but more into the way this experiment is tied together. If you want to learn more see the further reading section below.
To start, we have a quad that we fill the entire screen with. A vertex shader that does next to nothing is provided to send geometry to the fragment shader. The fragment shader is where all of the work is done.
There is a timer that moves a cutterPosition
around the scene and a couple of ndarrays, which can be thought of as depth textures.
refered to by the name tool
The first ndarray is precomputed to be the shape of the end of the cutting tool in question this is essentially a rasterization operation that only needs to be computed once as we are going to apply it to the second ndarray as the tool moves around in the scene.
refered to by depthTexture
This ndarray is as big as possible (for now), and it represents the history of the tool location. This history
is achieved by applying tool
to the larger array every time the cutterPosition
moves. If any dexel in the
tool
texture + the cutterPosition.y
is "deeper" than what is represented in the depthTexture
then the dexel
is applied to the texture.
i.e. depthTexture[x][y] = max(depthTexture[x][z], tool[x][z] + cutterPosition.y)
Rendering this depthTexture
is done via raymarching and thus fits fairly well into the flow. This is implemented in the solid_depthmap
function in shaders/raymarch.frag.
- "Rendering worlds with 2 triangles" - http://www.iquilezles.org/www/material/nvscene2008/rwwtt.pdf
- "Sphere Marching" - http://mathinfo.univ-reims.fr/IMG/pdf/hart94sphere.pdf
- "GPU Ray Marching of Distance Fields" - http://csokavar.hu/raytrace/imm6392.pdf
you'll need node.js and git to clone this repo
git clone https://github.com/tmpvar/gcode-raymarch-sim.git
cd gcode-raymarch-sim
npm install
Now you can run the development server
npm run dev
this should open a browser tab to http://localhost:8000, if it does not you can just navigate there. Tested in chrome