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Augmented Lagrangian Homotopy Method for the Regularization of Total Variation Denoising Problems |
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| Authors: | L A Melara A J Kearsley R A Tapia |
| Institution: | (1) Department of Mathematics, Colorado College, Colorado Springs, CO, USA;(2) Mathematical and Computational Sciences Division, National Institute of Standards and Technology, Gaithersburg, MD, USA;(3) Department of Computational and Applied Mathematics, Rice University, Houston, TX, USA |
| Abstract: | This paper presents a homotopy procedure which improves the solvability of mathematical programming problems arising from total variational methods for image denoising. The homotopy on the regularization parameter involves solving a sequence of equality-constrained optimization problems where the positive regularization parameter in each optimization problem is initially large and is reduced to zero. Newton’s method is used to solve the optimization problems and numerical results are presented. |
| Keywords: | Constrained optimization Newton’ s method Regularization Homotopy method |
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