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Wiley InterScience | |||||||||||||
 Computer Graphics ForumVolume 28 Issue 5, Pages 1371 - 1382 Published Online: 31 Aug 2009 Journal compilation © 2009 The Eurographics Association and Blackwell Publishing
Abstract | References | Full Text: HTML, PDF (Size: 910K) | Related Articles | Citation Tracking  Isotopic Reconstruction of Surfaces with Boundaries Copyright © 2009 The Eurographics Association and Blackwell Publishing Ltd. KEYWORDS I.3.3 [Computer Graphics]: Surface Reconstruction— ABSTRACTWe present an algorithm for the reconstruction of a surface with boundaries (including a non-orientable one) in three dimensions from a sufficiently dense sample. It is guaranteed that the output is isotopic to the unknown sampled surface. No previously known algorithm guarantees isotopic or homeomorphic reconstruction of surfaces with boundaries. Our algorithm is surprisingly simple. It 'peels' slivers greedily from an α-complex of a sample of the surface. No other post-processing is necessary. We provide several experimental results from an implementation of our basic algorithm and also a modified version of it. | 
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