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  Image Construction by Linear Programming

Tsuda, K., & Rätsch, G. (2004). Image Construction by Linear Programming. Advances in Neural Information Processing Systems 16, 57-64.

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Datensatz-Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-D8E7-B Versions-Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-D8E8-9
Genre: Konferenzbeitrag

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 Urheber:
Tsuda, K1, Autor           
Rätsch, G1, Autor           
Thrun, Herausgeber
S., Herausgeber
Saul, L.K., Herausgeber
Schölkopf, B., Herausgeber
Affiliations:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              

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Schlagwörter: -
 Zusammenfassung: A common way of image denoising is to project a noisy image to the subspace of admissible images made for instance by PCA. However, a major drawback of this method is that all pixels are updated by the projection, even when only a few pixels are corrupted by noise or occlusion. We propose a new method to identify the noisy pixels by 1-norm penalization and update the identified pixels only. The identification and updating of noisy pixels are formulated as one linear program which can be solved efficiently. Especially, one can apply the ν-trick to directly specify the fraction of pixels to be reconstructed. Moreover, we extend the linear program to be able to exploit prior knowledge that occlusions often appear in contiguous blocks (e.g. sunglasses on faces). The basic idea is to penalize boundary points and interior points of the occluded area differently. We are able to show the ν-property also for this extended LP leading a method which is easy to use. Experimental results impressively demonstrate the power of our approach.

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Sprache(n):
 Datum: 2004-06
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: ISBN: 0-262-20152-6
URI: http://nips.cc/Conferences/2003/
BibTex Citekey: 2547
 Art des Abschluß: -

Veranstaltung

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Titel: Seventeenth Annual Conference on Neural Information Processing Systems (NIPS 2003)
Veranstaltungsort: Vancouver, BC, Canada
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Titel: Advances in Neural Information Processing Systems 16
Genre der Quelle: Zeitschrift
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: Cambridge, MA, USA : MIT Press
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 57 - 64 Identifikator: -