Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Iterative methods for total variation denoising
SIAM Journal on Scientific Computing - Special issue on iterative methods in numerical linear algebra; selected papers from the Colorado conference
Convergence of an Iterative Method for Total Variation Denoising
SIAM Journal on Numerical Analysis
Oscillating Patterns in Image Processing and Nonlinear Evolution Equations: The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures
On the Convergence of the Lagged Diffusivity Fixed Point Method in Total Variation Image Restoration
SIAM Journal on Numerical Analysis
Inverse Scale Space Theory for Inverse Problems
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
Acceleration Methods for Total Variation-Based Image Denoising
SIAM Journal on Scientific Computing
Deterministic edge-preserving regularization in computed imaging
IEEE Transactions on Image Processing
Salt-and-pepper noise removal by median-type noise detectors and detail-preserving regularization
IEEE Transactions on Image Processing
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The proof of the global and linear convergence of a fixed point iteration method for restoration, as well as an estimate for the rate of convergence have been discussed by many researchers. We present the global and linear convergence of a fixed point iteration method for a modified restoration problem. In addition, we show the equivalence among four different iterative methods: half-quadratic regularization, iteration based on the Bregman distance, inverse scale space method and generalized Weiszfeld's method.