Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6421943 | Applied Mathematics and Computation | 2013 | 12 Pages |
Abstract
The linearized partial differential equation from the nonlinear partial differential equation which was proposed by Rudin, Osher and Fatemi [L. I. Rudin, S. Osher and E. Fatemi, Nonlinear total variation based noise removal algorithms] for solving image decomposition was introduced by Chambolle [A. Chambolle, An algorithm for total variation minimization and applications] and R. Acar and C.R. Vogel [R. Acar and C. R. Vogel, Analysis of bounded variation penalty methods for ill-posed problems]. In this paper, we propose a method for solving the linearized partial differential equation and we show numerical results for denoising which demonstrate a significant improvement over other previous works.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Dokkyun Yi, Booyong Choi, Eun-Youn Kim,