Image Denoising via Nonlinear Hybrid Diffusion
Joint Authors
Zhang, Dazhi
Ji, Xiaoping
Wu, Boying
Guo, Zhichang
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-09
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
A nonlinear anisotropic hybrid diffusion equation is discussed for image denoising, which is a combination of mean curvature smoothing and Gaussian heat diffusion.
First, we propose a new edge detection indicator, that is, the diffusivity function.
Based on this diffusivity function, the new diffusion is nonlinear anisotropic and forward-backward.
Unlike the Perona-Malik (PM) diffusion, the new forward-backward diffusion is adjustable and under control.
Then, the existence, uniqueness, and long-time behavior of the new regularization equation of the model are established.
Finally, using the explicit difference scheme (PM scheme) and implicit difference scheme (AOS scheme), we do numerical experiments for different images, respectively.
Experimental results illustrate the effectiveness of the new model with respect to other known models.
American Psychological Association (APA)
Ji, Xiaoping& Zhang, Dazhi& Guo, Zhichang& Wu, Boying. 2013. Image Denoising via Nonlinear Hybrid Diffusion. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-22.
https://search.emarefa.net/detail/BIM-1011044
Modern Language Association (MLA)
Ji, Xiaoping…[et al.]. Image Denoising via Nonlinear Hybrid Diffusion. Mathematical Problems in Engineering No. 2013 (2013), pp.1-22.
https://search.emarefa.net/detail/BIM-1011044
American Medical Association (AMA)
Ji, Xiaoping& Zhang, Dazhi& Guo, Zhichang& Wu, Boying. Image Denoising via Nonlinear Hybrid Diffusion. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-22.
https://search.emarefa.net/detail/BIM-1011044
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1011044