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Title: Approximating polyhedral objects with deformable smooth surfaces
Authors: Cheng, H.-L. 
Tan, T.
Keywords: Computational geometry
Hausdorff distance
Polyhedral objects approximation
Smooth surface
Issue Date: 2008
Citation: Cheng, H.-L., Tan, T. (2008). Approximating polyhedral objects with deformable smooth surfaces. Computational Geometry: Theory and Applications 39 (2) : 104-117. ScholarBank@NUS Repository.
Abstract: We propose a method to approximate a polyhedral object with a deformable smooth surface, namely the t-skin defined by Edelsbrunner for all 0<t<1. We guarantee that they are homeomorphic and their Hausdorff distance is at most >0. 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. © 2006 Published by Elsevier B.V.
Source Title: Computational Geometry: Theory and Applications
ISSN: 09257721
DOI: 10.1016/j.comgeo.2006.10.003
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