Department of Mathematics
Total variation restoration of images corrupted by poisson noise with iterated conditional expectations
© IFIP International Federation for Information Processing 2015. Interpreting the celebrated Rudin-Osher-Fatemi (ROF) model in a Bayesian framework has led to interesting new variants for Total Variation image denoising in the last decade. The Posterior Mean variant avoids the so-called staircasing artifact of the ROF model but is computationally very expensive. Another recent variant, called TV-ICE (for Iterated Conditional Expectation), delivers very similar images but uses a much faster fixed-point algorithm. In the present work, we consider the TV-ICE approach in the case of a Poisson noise model. We derive an explicit form of the recursion operator, and show linear convergence of the algorithm, as well as the absence of staircasing effect. We also provide a numerical algorithm that carefully handles precision and numerical overflow issues, and show experiments that illustrate the interest of this Poisson TV-ICE variant.
Fixedpoint algorithm, Image denoising, Incomplete gamma function, Marginal conditional mean, Poisson noise removal, Posterior mean, Staircasing effect, Total variation
Source Publication Title
Scale space and variational methods in computer vision: 5th International Conference, SSVM 2015, Lège-Cap Ferret, France, May 31 - June 4, 2015, Proceedings
Lège-Cap Ferret, France
Springer International Publishing
Link to Publisher's Edition
Abergel, Rémy, Cécile Louchet, Lionel Moisan, and Tieyong Zeng. "Total variation restoration of images corrupted by poisson noise with iterated conditional expectations." Scale space and variational methods in computer vision: 5th International Conference, SSVM 2015, Lège-Cap Ferret, France, May 31 - June 4, 2015, Proceedings (2015): 178-190.