Cited 2 time in
- Title
- An effective method for solving nonlinear equations and its application
- Author(s)
- D Yi; B Choi; Eun-Youn Kim
- Bibliographic Citation
- Applied Mathematics and Computation, vol. 220, pp. 568-579
- Publication Year
- 2013
- 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.
- Keyword
- DecompositionDualityFunctional minimizationPartial differential equationRichardson's methodTotal variation
- ISSN
- 0096-3003
- Publisher
- Elsevier
- DOI
- http://dx.doi.org/10.1016/j.amc.2013.05.070
- Type
- Article
- Appears in Collections:
- 1. Journal Articles > Journal Articles
- Files in This Item:
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