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
An introduction to the mathematical theory of inverse problems
An introduction to the mathematical theory of inverse problems
Rank-deficient and discrete ill-posed problems: numerical aspects of linear inversion
Rank-deficient and discrete ill-posed problems: numerical aspects of linear inversion
A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
Journal of the ACM (JACM)
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Ill-posed linear equations are pervasive in computer vision A popular way to solve an ill-posed problem is regularization In this paper, we propose a new criterion for designing the regularizing filter This criterion reveals the implicit assumption made by regularizing filters Then with the help of the discrete Picard condition, we refine the exponential filter using our criterion The effectiveness of our method is demonstrated on image restoration and interpolation.