Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image selective smoothing and edge detection by nonlinear diffusion. II
SIAM Journal on Numerical Analysis
Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)
Staircase effect alleviation by coupling gradient fidelity term
Image and Vision Computing
Image quality assessment: from error visibility to structural similarity
IEEE Transactions on Image Processing
Variational denoising of partly textured images by spatially varying constraints
IEEE Transactions on Image Processing
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The paper ''staircase effect alleviation by coupling gradient fidelity term'' (Zhu Lixin and Xia Deshen, 2008 [1]) presented a nonlinear diffusion approach using a coupling gradient fidelity term. Although such approach helps to alleviate the staircase effect to some extent, the model is not sound. Moreover the physical mechanism of this model was explained incorrectly, and there are some theoretical mistakes in their proofs and propositions. We propose a new theoretical analysis of the alleviation staircase effect using a coupling gradient fidelity term.