Image Restoration Combining the Total Variation Minimization and a SecondOrder Functional(English)
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摘要: 通过组合全变分极小泛函与一个二阶泛函得到了新的变分模型，用于图像恢复. 相应的负梯度流是一个四阶偏微分方程.此组合模型兼有TV模型和二阶泛函的长处，能够在保持轮廓的同时避免光滑区域出现“块状“效应.数值实验用的是包含轮廓，平坦区域和光滑区域的图像，实验结果说明了此模型的优越性.Abstract: A new variational model for noise removal was proposed. It combines the total variational (TV) functional with a second order functional,and the corresponding negative gradient flow is a fourth order PDE.The proposed model combines the benefits of the total variation model and the secondorder model,being able to preserve edges while at the same time avoid the staircase effect in smooth regions. Experimental results illustracted advantages of the proposed model.
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