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A New gradient fidelity term for Avoiding Staircasing Effect

Journal of Computer Science & Technology 2009年第6期24卷 1162-1170页

作者：董芳芳刘震 Center of Mathematical Sciences Zhejiang University Department of Mathematics Zhejiang University of Technology

Image denoising with some second order nonlinear PDEs often leads to a staircasing effect, which may produce undesirable blocky image. In this paper, we present a new gradient fidelity term and couple it with these PDEs to solve the problem. At first, we smooth the normal vector fields （i.e., the gradient fields） of the noisy image by total variation （TV） minimization and make the gradient of desirable image close to the smoothed normals, which is the idea of our gradient fidelity term. Then, we introduce the Euler-Lagrange equation of the gradient fidelity term into nonlinear diffusion PDEs for noise and staircasing removal. To speed up the computation of the vectorial TV minimization, the dual approach proposed by Bresson and Chan is employed. Some numerical experiments demonstrate that our gradient fidelity term can help to avoid the staircasing effect effectively, while preserving sharp discontinuities in images.

关键词： image denoising staircasing effect gradient fidelity term normal vectors dual formulation

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Novel image restoration model coupling gradient fidelity term based on adaptive total variation

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Journal of Beijing Institute of Technology 2011年第2期20卷 261-266页

作者：石明珠许廷发梁炯冯亮张坤周立伟 School of Optoelectronics Beijing Institute of Technology Key Laboratory of Photo Electronic Imaging Technology and System Ministry of Education of China Beijing Institute of Technology

A novel image restoration model coupling with a gradient fidelity term based on adaptive total variation is proposed in this paper. In order to choose proper parameters, the selection criteria were analyzed theoretically, and a simple scheme to demonstrate its validity was adopted experimentally. To make fair comparisons of performances of three models, the same numerical algorithm was used to solve partial differential equations. Both the international standard test image on Lena and HR image of CBERS-02B of Dalian city were used to verify the performance of the model. Experimental results illustrate that the new model not only preserved the edge and important details but also alleviated the staircase effect effectively.

关键词： image restoration total variation(TV) gradient fidelity term staircase effect

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