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  Implicit Surfaces with Globally Regularised and Compactly Supported Basis Functions

Walder, C., Schölkopf, B., & Chapelle, O. (2007). Implicit Surfaces with Globally Regularised and Compactly Supported Basis Functions. Advances in Neural Information Processing Systems 19: Proceedings of the 2006 Conference, 273-280.

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 Urheber:
Walder, C1, 2, Autor           
Schölkopf, B1, Autor           
Chapelle, O1, Autor           
Schölkopf, Herausgeber
B., Herausgeber
Platt, J., Herausgeber
Hofmann, T., Herausgeber
Affiliations:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              
2Department Human Perception, Cognition and Action, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497797              

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 Zusammenfassung: We consider the problem of constructing a function whose zero set is to represent a surface, given sample points with surface normal vectors. The contributions include a novel means of regularising multi-scale compactly supported basis functions that leads to the desirable properties previously only associated with fully supported bases, and show equivalence to a Gaussian process with modified covariance function. We also provide a regularisation framework for simpler and more direct treatment of surface normals, along with a corresponding generalisation of the representer theorem. We demonstrate the techniques on 3D problems of up to 14 million data points, as well as 4D time series data.

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 Datum: 2007-09
 Publikationsstatus: Erschienen
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 Ort, Verlag, Ausgabe: -
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 Identifikatoren: ISBN: 0-262-19568-2
URI: http://nips.cc/Conferences/2006/
BibTex Citekey: 4191
 Art des Abschluß: -

Veranstaltung

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Titel: Twentieth Annual Conference on Neural Information Processing Systems (NIPS 2006)
Veranstaltungsort: Vancouver, BC, Canada
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Titel: Advances in Neural Information Processing Systems 19: Proceedings of the 2006 Conference
Genre der Quelle: Zeitschrift
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: Cambridge, MA, USA : MIT Press
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 273 - 280 Identifikator: -