TY - JOUR AU - Ben Hamza, A. AU - Krim, Hamid AU - Zerubia, Josiane PY - 2004 DA - 2004/12/02 TI - A Nonlinear Entropic Variational Model for Image Filtering JO - EURASIP Journal on Advances in Signal Processing SP - 540425 VL - 2004 IS - 16 AB - 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. SN - 1687-6180 UR - https://doi.org/10.1155/S1110865704407197 DO - 10.1155/S1110865704407197 ID - Ben Hamza2004 ER -