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Erschienen in:
2005 | OriginalPaper | Buchkapitel
Approximating Polygonal Objects by Deformable Smooth Surfaces
verfasst von : Ho-lun Cheng, Tony Tan
Erschienen in: Mathematical Foundations of Computer Science 2005
Verlag: Springer Berlin Heidelberg
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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 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.