Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms
ACM Transactions on Graphics (TOG)
The union of balls and its dual shape
SCG '93 Proceedings of the ninth annual symposium on Computational geometry
Approximating polyhedra with spheres for time-critical collision detection
ACM Transactions on Graphics (TOG)
Accurate and efficient unions of balls
Proceedings of the sixteenth annual symposium on Computational geometry
Conforming Delaunay triangulations in 3D
Proceedings of the eighteenth annual symposium on Computational geometry
Graded conforming Delaunay tetrahedralization with bounded radius-edge ratio
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
Approximation by skin surfaces
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Feature-Sensitive 3D Shape Matching
CGI '04 Proceedings of the Computer Graphics International
Guaranteed Quality Triangulation of Molecular Skin Surfaces
VIS '04 Proceedings of the conference on Visualization '04
Superimposing voronoi complexes for shape deformation
ISAAC'04 Proceedings of the 15th international conference on Algorithms and Computation
FSTTCS'04 Proceedings of the 24th international conference on Foundations of Software Technology and Theoretical Computer Science
Design and analysis of planar shape deformation
Computational Geometry: Theory and Applications
Mesh deformation of dynamic smooth manifolds with surface correspondences
MFCS'10 Proceedings of the 35th international conference on Mathematical foundations of computer science
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We propose a method to approximate a polyhedral object with a deformable smooth surface, namely the t-skin defined by Edelsbrunner for all 00. This construction makes it possible for fully automatic, smooth and robust deformation between two polyhedral objects with different topologies. En route to our results, we also give an approximation of a polyhedral object with a union of balls.