de Matemática Aplicada, Departamento de Matemática, UFSC
Quinta-feira, 12 de maio de 2016
Koller Sacht, Departamento de Matemática, UFSC
volumetric discretizations inside self-intersecting surfaces
Resumo: Decades of research have culminated in a
robust geometry processing pipeline for surfaces. Most steps in
this pipeline, like deformation, smoothing, subdivision and
decimation, may create self-intersections. Volumetric processing
of solid shapes then becomes difficult, because obtaining a
correct volumetric discretization is impossible: existing
tet-meshing methods require watertight input. We propose an
algorithm that produces a tetrahedral mesh that overlaps itself
consistently with the self-intersections in the input surface.
This enables volumetric processing on self-intersecting models.
We leverage conformalized mean-curvature flow, which removes
self-intersections, and define an intrinsically similar reverse
flow, which prevents them. We tetrahedralize the resulting
surface and map the mesh inside the original surface. We
demonstrate the effectiveness of our method with applications to
automatic skinning weight computation, physically based
simulation and geodesic distance computation.
Local: Auditório (LAED) do Departamento de Matemática, andar