An image decomposition model using the total variation and the infinity Laplacian

Christopher Elion; Luminita A. Vese

doi:10.1117/12.716079

28 February 2007 An image decomposition model using the total variation and the infinity Laplacian

Christopher Elion, Luminita A. Vese

Author Affiliations +

Proceedings Volume 6498, Computational Imaging V; 64980W (2007) https://doi.org/10.1117/12.716079
Event: Electronic Imaging 2007, 2007, San Jose, CA, United States

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.

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Christopher Elion and Luminita A. Vese "An image decomposition model using the total variation and the infinity Laplacian", Proc. SPIE 6498, Computational Imaging V, 64980W (28 February 2007); https://doi.org/10.1117/12.716079

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