Nonlinear Analysis: Theory, Methods & Applications
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
Relations Between Regularization and Diffusion Filtering
Journal of Mathematical Imaging and Vision
Tube Methods for BV Regularization
Journal of Mathematical Imaging and Vision
Taut-String Algorithm and Regularization Programs with G-Norm Data Fit
Journal of Mathematical Imaging and Vision
Relations between higher order TV regularization and support vector regression
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Nonlinear image recovery with half-quadratic regularization
IEEE Transactions on Image Processing
Bivariate density estimation using BV regularisation
Computational Statistics & Data Analysis
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It is known that discrete BV-regularization and the taut string algorithm are equivalent. In this paper we extend this result to the continuous case. First we derive necessary equations for the solution of both BV-regularization and the taut string algorithm by computing suitable Gateaux derivatives. The equivalence then follows from a uniqueness result.