Image Structure-Preserving Denoising Based on Difference Curvature Driven Fractional Nonlinear Diffusion
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-07
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The traditional integer-order partial differential equations and gradient regularization based image denoising techniques often suffer from staircase effect, speckle artifacts, and the loss of image contrast and texture details.
To address these issues, in this paper, a difference curvature driven fractional anisotropic diffusion for image noise removal is presented, which uses two new techniques, fractional calculus and difference curvature, to describe the intensity variations in images.
The fractional-order derivatives information of an image can deal well with the textures of the image and achieve a good tradeoff between eliminating speckle artifacts and restraining staircase effect.
The difference curvature constructed by the second order derivatives along the direction of gradient of an image and perpendicular to the gradient can effectively distinguish between ramps and edges.
Fourier transform technique is also proposed to compute the fractional-order derivative.
Experimental results demonstrate that the proposed denoising model can avoid speckle artifacts and staircase effect and preserve important features such as curvy edges, straight edges, ramps, corners, and textures.
They are obviously superior to those of traditional integral based methods.
The experimental results also reveal that our proposed model yields a good visual effect and better values of MSSIM and PSNR.
American Psychological Association (APA)
Yin, Xuehui& Zhou, Shangbo. 2015. Image Structure-Preserving Denoising Based on Difference Curvature Driven Fractional Nonlinear Diffusion. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1075091
Modern Language Association (MLA)
Yin, Xuehui& Zhou, Shangbo. Image Structure-Preserving Denoising Based on Difference Curvature Driven Fractional Nonlinear Diffusion. Mathematical Problems in Engineering No. 2015 (2015), pp.1-16.
https://search.emarefa.net/detail/BIM-1075091
American Medical Association (AMA)
Yin, Xuehui& Zhou, Shangbo. Image Structure-Preserving Denoising Based on Difference Curvature Driven Fractional Nonlinear Diffusion. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1075091
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1075091