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Journal Articles EURASIP Journal on Advances in Signal Processing Year : 2004

A Nonlinear Entropic Variational Model for Image Filtering

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Abstract

We propose an information-theoretic variational filter for image denoising. It is a result of minimizing a functional subject to some noise constraints, and takes a hybrid form of a negentropy variational integral for small gradient magnitudes and a total variational integral for large gradient magnitudes. The core idea behind this approach is to use geometric insight in helping to construct regularizing functionals and avoiding a subjective choice of a prior in maximum a posteriori estimation. Illustrative experimental results demonstrate a much improved performance of the approach in the presence of Gaussian and heavy-tailed noise.
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Dates and versions

hal-00784485 , version 1 (04-02-2013)

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  • HAL Id : hal-00784485 , version 1

Cite

A Ben Hamza, Hamid Krim, Josiane Zerubia. A Nonlinear Entropic Variational Model for Image Filtering. EURASIP Journal on Advances in Signal Processing, 2004, 2004 (16), pp.540425. ⟨hal-00784485⟩
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