Patch Similarity Modulus and Difference Curvature Based Fourth-Order Partial Differential Equation for Image Denoising
Joint Authors
Bai, Yunjiao
Zhang, Quan
Shangguan, Hong
Gui, Zhiguo
Liu, Yi
Liu, Yanli
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-30
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The traditional fourth-order nonlinear diffusion denoising model suffers the isolated speckles and the loss of fine details in the processed image.
For this reason, a new fourth-order partial differential equation based on the patch similarity modulus and the difference curvature is proposed for image denoising.
First, based on the intensity similarity of neighbor pixels, this paper presents a new edge indicator called patch similarity modulus, which is strongly robust to noise.
Furthermore, the difference curvature which can effectively distinguish between edges and noise is incorporated into the denoising algorithm to determine the diffusion process by adaptively adjusting the size of the diffusion coefficient.
The experimental results show that the proposed algorithm can not only preserve edges and texture details, but also avoid isolated speckles and staircase effect while filtering out noise.
And the proposed algorithm has a better performance for the images with abundant details.
Additionally, the subjective visual quality and objective evaluation index of the denoised image obtained by the proposed algorithm are higher than the ones from the related methods.
American Psychological Association (APA)
Bai, Yunjiao& Zhang, Quan& Shangguan, Hong& Gui, Zhiguo& Liu, Yi& Liu, Yanli. 2015. Patch Similarity Modulus and Difference Curvature Based Fourth-Order Partial Differential Equation for Image Denoising. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1074350
Modern Language Association (MLA)
Bai, Yunjiao…[et al.]. Patch Similarity Modulus and Difference Curvature Based Fourth-Order Partial Differential Equation for Image Denoising. Mathematical Problems in Engineering No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1074350
American Medical Association (AMA)
Bai, Yunjiao& Zhang, Quan& Shangguan, Hong& Gui, Zhiguo& Liu, Yi& Liu, Yanli. Patch Similarity Modulus and Difference Curvature Based Fourth-Order Partial Differential Equation for Image Denoising. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1074350
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074350