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Well-Posed Inhomogeneous Nonlinear Diffusion Scheme for Digital Image Denoising
Joint Authors
Singh, Arindama
Prasath, V. B. Surya
Source
Journal of Applied Mathematics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-04-27
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We study an inhomogeneous partial differential equation which includes a separate edge detection part to control smoothing in and around possible discontinuities, under the framework of anisotropic diffusion.
By incorporating edges found at multiple scales via an adaptive edge detector-based indicator function, the proposed scheme removes noise while respecting salient boundaries.
We create a smooth transition region around probable edges found and reduce the diffusion rate near it by a gradient-based diffusion coefficient.
In contrast to the previous anisotropic diffusion schemes, we prove the well-posedness of our scheme in the space of bounded variation.
The proposed scheme is general in the sense that it can be used with any of the existing diffusion equations.
Numerical simulations on noisy images show the advantages of our scheme when compared to other related schemes.
American Psychological Association (APA)
Prasath, V. B. Surya& Singh, Arindama. 2010. Well-Posed Inhomogeneous Nonlinear Diffusion Scheme for Digital Image Denoising. Journal of Applied Mathematics،Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-496932
Modern Language Association (MLA)
Prasath, V. B. Surya& Singh, Arindama. Well-Posed Inhomogeneous Nonlinear Diffusion Scheme for Digital Image Denoising. Journal of Applied Mathematics No. 2010 (2010), pp.1-14.
https://search.emarefa.net/detail/BIM-496932
American Medical Association (AMA)
Prasath, V. B. Surya& Singh, Arindama. Well-Posed Inhomogeneous Nonlinear Diffusion Scheme for Digital Image Denoising. Journal of Applied Mathematics. 2010. Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-496932
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496932