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Title: Approximating polygonal objects with deformable smooth surfaces
Authors: TAN TONY
Keywords: deformation, polygonal objects, alpha shape, approximation, union of balls, skin surfaces
Issue Date: 25-Jul-2005
Citation: TAN TONY (2005-07-25). Approximating polygonal objects with deformable smooth surfaces. ScholarBank@NUS Repository.
Abstract: We propose a method to approximate a polygonal object with adeformable smooth surface, namely the t-skin defined byEdelsbrunner for all 0< t < 1. We guarantee that they arehomeomorphic and their Hausdorff distance is at most \epsilon>0.This construction makes it possible for fully automatic, smoothand robust deformation between two polygonal objects withdifferent topologies. En route to our results, we also give anapproximation of a polygonal object with a union of balls.
Appears in Collections:Master's Theses (Open)

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