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|Title:||Approximating polygonal objects by deformable smooth surfaces||Authors:||Cheng, H.-L.
|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||URI:||http://scholarbank.nus.edu.sg/handle/10635/40646||ISSN:||03029743|
|Appears in Collections:||Staff Publications|
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