Performance of the Restarted Homotopy Perturbation Method and Split Bregman Method for Multiplicative Noise Removal
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-12-06
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
In this paper, we first propose restarted homotopy perturbation methods (RHPM) for multiplicative noise removal of the RLO and AA2 models.
The main difficulty in applying the RHPM to the nonlinear denoising problem is settled by using binomial series techniques.
We next propose the split Bregman methods for multiplicative noise removal of the RLO and AA2 models.
The difficulty in applying the split Bregman method to the nonlinear denoising problem can be handled by transforming ill-conditioned linear systems into well-conditioned linear systems using splitting techniques of singular matrices.
Lastly, numerical experiments for several test problems are provided to demonstrate the efficiency and reliability of the RHPM and split Bregman methods.
American Psychological Association (APA)
Han, Yu Du& Yun, Jae Heon. 2018. Performance of the Restarted Homotopy Perturbation Method and Split Bregman Method for Multiplicative Noise Removal. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-21.
https://search.emarefa.net/detail/BIM-1208985
Modern Language Association (MLA)
Han, Yu Du& Yun, Jae Heon. Performance of the Restarted Homotopy Perturbation Method and Split Bregman Method for Multiplicative Noise Removal. Mathematical Problems in Engineering No. 2018 (2018), pp.1-21.
https://search.emarefa.net/detail/BIM-1208985
American Medical Association (AMA)
Han, Yu Du& Yun, Jae Heon. Performance of the Restarted Homotopy Perturbation Method and Split Bregman Method for Multiplicative Noise Removal. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-21.
https://search.emarefa.net/detail/BIM-1208985
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1208985