Creating good quality meshes from smooth implicit surfaces

Abstract

Visualization of implicit surfaces is an actively researched topic. While raytracing can produce high quality images, it is not well suited for creating a quick preview of the surface. Indirect algorithms (e.g. Marching Cubes) create an easily renderable triangle mesh, but the result is often not sufficiently well-structured for a good approximation of differential surface quantities (normals, curvatures, etc.). Post-processing methods usually have a considerable computational overhead, and high quality is not guaranteed. We propose a tessellation algorithm to create nearly isotropic meshes, using multi-sided implicit surfaces.