Generalized multidimensional scaling: a framework for isometry-invariant partial surface matching

An efficient algorithm for isometry-invariant matching of surfaces is presented. The key idea is computing the minimum-distortion mapping between two surfaces. For this purpose, we introduce the generalized multidimensional scaling, a computationally efficient continuous optimization algorithm for f...

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Veröffentlicht in:Proceedings of the National Academy of Sciences - PNAS Jg. 103; H. 5; S. 1168
Hauptverfasser: Bronstein, Alexander M, Bronstein, Michael M, Kimmel, Ron
Format: Journal Article
Sprache:Englisch
Veröffentlicht: United States 31.01.2006
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ISSN:0027-8424
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Zusammenfassung:An efficient algorithm for isometry-invariant matching of surfaces is presented. The key idea is computing the minimum-distortion mapping between two surfaces. For this purpose, we introduce the generalized multidimensional scaling, a computationally efficient continuous optimization algorithm for finding the least distortion embedding of one surface into another. The generalized multidimensional scaling algorithm allows for both full and partial surface matching. As an example, it is applied to the problem of expression-invariant three-dimensional face recognition.
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ISSN:0027-8424
DOI:10.1073/pnas.0508601103