Three-dimensional alpha shapes
ACM Transactions on Graphics (TOG)
An incremental algorithm for Betti numbers of simplicial complexes on the 3-spheres
Computer Aided Geometric Design - Special issue on grid generation, finite elements, and geometric design
Modern Differential Geometry of Curves and Surfaces with Mathematica
Modern Differential Geometry of Curves and Surfaces with Mathematica
Nice point sets can have nasty Delaunay triangulations
SCG '01 Proceedings of the seventeenth annual symposium on Computational geometry
The Delaunay tetrahedralization from Delaunay triangulated surfaces
Proceedings of the eighteenth annual symposium on Computational geometry
Approximation by skin surfaces
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Provably good surface sampling and approximation
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Sampling and meshing a surface with guaranteed topology and geometry
SCG '04 Proceedings of the twentieth annual symposium on Computational geometry
Guaranteed Quality Triangulation of Molecular Skin Surfaces
VIS '04 Proceedings of the conference on Visualization '04
An effective condition for sampling surfaces with guarantees
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Maintaining deforming surface meshes
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
Untangling triangulations through local explorations
Proceedings of the twenty-fourth annual symposium on Computational geometry
Technical Section: Variational implicit surface meshing
Computers and Graphics
Improved maintenance of molecular surfaces using dynamic graph connectivity
WABI'05 Proceedings of the 5th International conference on Algorithms in Bioinformatics
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This paper describes an algorithm for maintaining an approximating triangulation of a deforming surface in R3. The triangulation adapts dynamically to changing shape, curvature, and topology of the surface.