Reconstruction using witness complexes (Q958231)

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scientific article; zbMATH DE number 5377156
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English
Reconstruction using witness complexes
scientific article; zbMATH DE number 5377156

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    Reconstruction using witness complexes (English)
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    2 December 2008
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    Given an input point set sampled from an object \(S\), the algorithm presented builds a one parameter family of complexes that approximate \(S\) at different scales. The algorithm is applicable in any metric space. The relationship between the witness complex and the restricted Delaunay triangulation in 2D and in 3D is considered to show the algorithm's correctness.
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    sampling
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    reconstruction
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    Delaunay triangulation
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    witness complex
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    algorithm
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