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A second-order model for image denoising

Abstract : We present a variational model for image denoising and/or texture identification. Noise and textures may be modelled as oscillating components of images. The model involves a L2- data fitting term and a Tychonov-like regularization term. We choose the BV2 norm instead of the classical BV norm. Here BV2 is the bounded hessian function space that we define and describe. The main improvement is that we do not observe staircasing effects any longer, during denoising process. Moreover, texture extraction can be performed with the same method. We give existence results and present a discretized problem. An algorithm close to one set by Chambolle is used: we prove convergence and present numerical tests.
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https://hal.archives-ouvertes.fr/hal-00440872
Contributor : Maïtine Bergounioux <>
Submitted on : Monday, June 7, 2010 - 7:09:40 PM
Last modification on : Thursday, May 3, 2018 - 3:32:06 PM
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Maïtine Bergounioux, Loïc Piffet. A second-order model for image denoising. Set Valued Analysis, 2010, 18 (3-4), pp.277-306. ⟨10.1007/s11228-010-0156-6⟩. ⟨hal-00440872v2⟩

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