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

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.

Citation Download Citation

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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