Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms
ACM Transactions on Graphics (TOG)
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
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
FSTTCS'04 Proceedings of the 24th international conference on Foundations of Software Technology and Theoretical Computer Science
Computational Geometry: Theory and Applications
Proceedings of the twenty-second annual symposium on Computational geometry
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We propose a method to approximate a polygonal object by a deformable smooth surface, namely the t-skin defined by Edelsbrunner for all 0t ε 0. Such construction makes it possible for fully automatic, smooth and robust deformation between two polygonal objects with different topologies. En route to our results, we also give an approximation of a polygonal object with a union of balls.