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Title: Approximating polygonal objects by deformable smooth surfaces
Authors: Cheng, H.-L. 
Tan, T. 
Issue Date: 2005
Citation: Cheng, H.-L.,Tan, T. (2005). Approximating polygonal objects by deformable smooth surfaces. Lecture Notes in Computer Science 3618 : 248-259. ScholarBank@NUS Repository.
Abstract: We propose a method to approximate a polygonal object by 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 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. © Springer-Verlag Berlin Heidelberg 2005.
Source Title: Lecture Notes in Computer Science
ISSN: 03029743
Appears in Collections:Staff Publications

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