Image decomposition combining staircase reduction and texture extraction

Authors:
Tony F. Chan;Selim Esedoglu;Frederick E. Park
Affiliations:
Department of Mathematics, University of California, 405 Hilgard Avenue, Los Angeles, CA 90095-1555, USA;Department of Mathematics, University of California, 405 Hilgard Avenue, Los Angeles, CA 90095-1555, USA;Department of Mathematics, University of California, 405 Hilgard Avenue, Los Angeles, CA 90095-1555, USA
Venue:
Journal of Visual Communication and Image Representation
Year:
2007

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Abstract

This paper proposes a natural and efficient way to achieve staircase reduction in texture extraction models of image processing. Moreover, we propose a precise framework for this amalgamation. In a sense, we utilize the best of both worlds: (I) the use of higher order derivatives through a variant of the Chambolle-Lions inf convolution energy (an image decomposition model in itself) along with (II) approximations to Meyer's G and E norms including the H^-^1 negative norm for ameliorating staircasing in image decomposition and restoration problems.