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Preservation of Fine Structures in PDE-Based Image Denoising
Joint Authors
Calvert, Velinda R.
Kim, Seongjai
Kim, Hakran
Source
Advances in Numerical Analysis
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-21
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
Image denoising processes often lead to significant loss of fine structures such as edges and textures.
This paper studies various innovative mathematical and numerical methods applicable for conventional PDE-based denoising models.
The method of diffusion modulation is considered to effectively minimize regions of undesired excessive dissipation.
Then we introduce a novel numerical technique for residual-driven constraint parameterization, in order for the resulting algorithm to produce clear images whose corresponding residual is as free of image textures as possible.
A linearized Crank-Nicolson alternating direction implicit time-stepping procedure is adopted to simulate the resulting model efficiently.
Various examples are presented to show efficiency and reliability of the suggested methods in image denoising.
American Psychological Association (APA)
Kim, Hakran& Calvert, Velinda R.& Kim, Seongjai. 2012. Preservation of Fine Structures in PDE-Based Image Denoising. Advances in Numerical Analysis،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-495732
Modern Language Association (MLA)
Kim, Hakran…[et al.]. Preservation of Fine Structures in PDE-Based Image Denoising. Advances in Numerical Analysis No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-495732
American Medical Association (AMA)
Kim, Hakran& Calvert, Velinda R.& Kim, Seongjai. Preservation of Fine Structures in PDE-Based Image Denoising. Advances in Numerical Analysis. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-495732
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495732