CHALMOVIANSKÝ Pavel

Triangulation of implicit surfaces with singularities

Triangulation of an implicit surface with singularities

Kristína Korecová, Pavel Chalmovianský

A zero set of a suitable function is visualized using marching triangle technique with adaptation by Gauss curvature. Such an approach cannot be used in presence of singularities at the surface. We consider a description of ADE classes of singularities on a surface. Using suitable parameters, a neighborhood of a singularity is triangulated and the result is glued to the triangulation of the regular part of the surface. The algorithm is able to deal with bounding polyhedra as well. Examples of the approach are shown in detail.