Image Denoising Using Anisotropic Second and Fourth Order Diffusions Based on Gradient Vector Convolution

Huaibin Wang1, Yuanquan Wang1 and Wenqi Ren1

  1. School of Computer and Communication engineering,Tianjin University of
    Technology, 300384 Tianjin, China
    yqwang@bit.edu.cn

Abstract

In this paper, novel second order and fourth order diffusion models are proposed for image denoising. Both models are based on the gradient vector convolution (GVC) model. The second model is coined by incorporating the GVC model into the anisotropic diffusion model and the fourth order one is by introducing the GVC to the You-Kaveh fourth order model. Since the GVC model can be implemented in real time using the FFT and possesses high robustness to noise, both proposed models have many advantages over traditional ones, such as low computational cost, high numerical stability and remarkable denoising effect. Moreover, the proposed fourth order model is an anisotropic filter, so it can obviously improve the ability of edge and texture preserving except for further improvement of denoising. Some experiments are presented to demonstrate the effectiveness of the proposed models.

Key words

Gradient vector convolution, fourth order diffusion, anisotropic diffusion, noise removal, texture preserving.

Digital Object Identifier (DOI)

https://doi.org/10.2298/CSIS120219060W

Publication information

Volume 9, Issue 4 (December 2012)
Special Issue on Recent Advances in Systems and Informatics
Year of Publication: 2012
ISSN: 1820-0214 (Print) 2406-1018 (Online)
Publisher: ComSIS Consortium

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How to cite

Wang, H., Wang, Y., Ren, W.: Image Denoising Using Anisotropic Second and Fourth Order Diffusions Based on Gradient Vector Convolution. Computer Science and Information Systems, Vol. 9, No. 4, 1493-1512. (2012)