https://github.com/bchao1/marching-cubes

Marching-cubes algorithm (beta).
https://github.com/bchao1/marching-cubes

Last synced: 7 months ago
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Marching-cubes algorithm (beta).

• Host: GitHub
• URL: https://github.com/bchao1/marching-cubes
• Owner: bchao1
• Created: 2020-09-11T13:46:38.000Z (about 5 years ago)
• Default Branch: master
• Last Pushed: 2020-09-11T16:18:20.000Z (about 5 years ago)
• Last Synced: 2025-01-28T03:17:28.504Z (8 months ago)
• Language: Python
• Size: 490 KB
• Stars: 0
• Watchers: 2
• Forks: 2
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

          
# Marching Cubes Algorithm

Use [Marching Cubes](https://en.wikipedia.org/wiki/Marching_cubes) to generate triangle mesh from implicit functions.

   

**Implicit functions** (in the 3-variable case): functions written in form f(x, y, z) = V. V is usually called the isosurface value.

|Marching cubes size|0.2|0.1|0.05|

|--|--|--|--|

|Rendered mesh|![img](results/torus_1.png)|![img](results/torus_2.png)|![img](results/torus_3.png)|

|Number of faces|392|1616|6552|

|Number of vertices|728|2708|11236|

The mesh is rendered by the [renderer I wrote](https://github.com/bchao1/go-render).

## Usage

See `main.py`. Modify parameters as you wish. There are some implicit functions already defined in `src/functions.py`.

## References

- [Marching Cubes Algorithm](http://paulbourke.net/geometry/polygonise/)

- [Plotting 3D implicit fields with Python](https://stackoverflow.com/questions/29054828/is-it-possible-to-plot-implicit-3d-equation-using-sympy)

- [Catmull-Clark Subdivision](https://en.wikipedia.org/wiki/Catmull–Clark_subdivision_surface) is an algorithm to smooth the surfaces of a polygon mesh