by Yubo 'Paul' Yang

Marching Cubes

Marching cubes is a Classic algorithm for isosurface extraction. It utilizes efficient table lookups to extract a 2D isosurface from 3D volumetric data. The isosurface is represented in terms of a collection of triangles, which are easily rendered by graphics hardware. Although marching cubes is a rather dated algorithm, it demonstrates much of the concepts behind modern rendering approaches.

Presentation Summary

In this presentation, I present:

Basic idea behind the marching cubes algorithm
Plot PySCF basis functions, orbitals, and charge density using marching cubes implemented in skimage.measure

Examples

example 1: simplest demo (Gaussian)
example 2: basis functions from PySCF
example 3: Hatree-Fock orbitals/electron density from PySCF

References

Polygonising a scalar field, Paul Bourke
Smooth Voxel Terrain, Mikola Lysenko
Constrained Elastic Surface Nets, Sarah Gibson

All visualization

by Yubo 'Paul' Yang · Marching Cubes

Yubo "Paul" Yang 2017-09-12 ALGORITHM
visualization