Marching Cubes without Skinny Triangles

Most computational codes that use irregular grids depend on the single worst triangle's quality: skinny triangles can lead to bad performance and numerical instabilities. Marching cubes (MC) is the standard isosurface grid generation algorithm, and, whereas most triangles it generates are good, it almost always generates some bad triangles. Here, we show how simple changes to MC can lead to a drastically reduced number of degenerate triangles, making it a more practical choice for isosurface grid generation.