Surface sampling and the intrinsic Voronoi diagram
We develop adaptive sampling criteria which guarantee a topologically faithful mesh and demonstrate an improve- ment and simplification over earlier results, albeit restricted to 2D surfaces. These sampling criteria are based on functions defined by intrinsic properties of the surface: the strong convexity radius and the injectivity radius. We establish inequalities that relate these functions to the local feature size, thus enabling a comparison between the demands of the intrinsic sampling criteria and those based on Euclidean distances and the medial axis.
- Ramsay Dyer
- Hao Zhang
- Torsten Möller