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  Implicit Surface Modelling as an Eigenvalue Problem

Walder, C., Chapelle, O., & Schölkopf, B. (2005). Implicit Surface Modelling as an Eigenvalue Problem. In S. Dzeroski, L. De Raedt, & S. Wrobel (Eds.), ICML '05: 22nd international conference on Machine learning (pp. 936-939). New York, NY, USA: ACM Press.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-D6DB-8 Version Permalink: http://hdl.handle.net/21.11116/0000-0005-0E07-5
Genre: Conference Paper

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 Creators:
Walder, C1, 2, 3, Author              
Chapelle, O2, 4, Author              
Schölkopf, B2, 4, Author              
Affiliations:
1Department Human Perception, Cognition and Action, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497797              
2Max Planck Institute for Biological Cybernetics, Max Planck Society, Spemannstrasse 38, 72076 Tübingen, DE, ou_1497794              
3Project group: Cognitive Engineering, Max Planck Institute for Biological Cybernetics, Max Planck Society, Spemannstrasse 38, 72076 Tübingen, DE, ou_2528702              
4Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              

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 Abstract: We discuss the problem of fitting an implicit shape model to a set of points sampled from a co-dimension one manifold of arbitrary topology. The method solves a non-convex optimisation problem in the embedding function that defines the implicit by way of its zero level set. By assuming that the solution is a mixture of radial basis functions of varying widths we attain the globally optimal solution by way of an equivalent eigenvalue problem, without using or constructing as an intermediate step the normal vectors of the manifold at each data point. We demonstrate the system on two and three dimensional data, with examples of missing data interpolation and set operations on the resultant shapes.

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 Dates: 2005-08
 Publication Status: Published in print
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 Identifiers: BibTex Citekey: 3469
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Title: 22nd International Conference on Machine Learning (ICML 2005)
Place of Event: Bonn, Germany
Start-/End Date: 2005-08-07 - 2005-08-11

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Title: ICML '05: 22nd international conference on Machine learning
Source Genre: Proceedings
 Creator(s):
Dzeroski, S, Editor
De Raedt , L, Editor
Wrobel, S, Editor
Affiliations:
-
Publ. Info: New York, NY, USA : ACM Press
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 936 - 939 Identifier: ISBN: 1-59593-180-5