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  • Research Article
  • Open Access

A Nonlinear Entropic Variational Model for Image Filtering

EURASIP Journal on Advances in Signal Processing20042004:540425

https://doi.org/10.1155/S1110865704407197

  • Received: 12 August 2003
  • Published:

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.

Keywords and phrases

  • MAP estimation
  • variational methods
  • robust statistics
  • differential entropy
  • gradient descent flows
  • image denoising

Authors’ Affiliations

(1)
Concordia Institute for Information Systems Engineering, Concordia University, Montréal, Quebec, H3G 1T7, Canada
(2)
Department of Electrical and Computer Engineering, North Carolina State University, Raleigh, NC 27695-7911, USA
(3)
Ariana Research Group, INRIA/I3S, BP 93, Sophia Antipolis Cedex, 06902, France

Copyright

© Ben Hamza et al. 2004

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