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Proceedings Paper

An image decomposition model using the total variation and the infinity Laplacian
Author(s): Christopher Elion; Luminita A. Vese
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Paper Abstract

This paper is devoted to a recent topic in image analysis: the decomposition of an image into a cartoon or geometric part, and an oscillatory or texture part. Here, we propose a practical solution to the (BV,G) model proposed by Y. Meyer. We impose that the cartoon is a function of bounded variation, while the texture is represented as the Laplacian of some function whose gradient belongs to L(infinity). The problem thus becomes related with the absolutely minimizing Lipschitz extensions and the infinity Laplacian. Experimental results for image denoising and cartoon + texture separation, together with details of the algorithm, are also presented.

Paper Details

Date Published: 28 February 2007
PDF: 10 pages
Proc. SPIE 6498, Computational Imaging V, 64980W (28 February 2007); doi: 10.1117/12.716079
Show Author Affiliations
Christopher Elion, Univ. of California, Los Angeles (United States)
Luminita A. Vese, Univ. of California, Los Angeles (United States)


Published in SPIE Proceedings Vol. 6498:
Computational Imaging V
Charles A. Bouman; Eric L. Miller; Ilya Pollak, Editor(s)

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