||Rösch, A., Ruhl, M., Saupe, D.
||Interactive visualization of implicit surfaces with singularities
||This paper presents work on two methods for interactive visualization of implicit surfaces: physically-based sampling
using particle systems and polygonization followed by physically-based mesh improvement which explicitly
makes use of the surface-defining equation. While most previous work applied to bounded manifolds without singularities
and without boundary (topological spheres) we broaden the scope of the methods to include surfaces
with such features, in particular cusp points and surface self-intersections. These aspects are not (yet) essential
for computer graphics modelling with implicit surfaces but they naturally occur in simulations of interest in
mathematical visualization. In this paper we use the Kummer family of algebraic surfaces as an example.