A framelet-based image inpainting algorithm
A framelet-based image inpainting algorithm
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DOI：
10.1016/j.acha.2007.10.002
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发表时间：
2008-03-01
影响因子：
2.5
通讯作者：
Shen, Zuowei
中科院分区：
文献类型：
--
作者：
Cai, Jian-Feng;Chan, Raymond H.;Shen, Zuowei
图像绘制是图像处理中的一个基本问题，有着广泛的应用。基于最近在图像域和变换域的基于紧帧的图像恢复方法，我们提出了一种迭代的紧帧图像修复算法。我们通过将其解释为最小化特殊泛函的迭代来考虑这种基于帧的算法的收敛性。收敛性的证明是在凸分析和最优化理论的框架下进行的。我们还讨论了我们的方法与其他基于小波的方法的关系。数值实验验证了该算法的有效性。(c) 2007爱思唯尔公司版权所有。
Image inpainting is a fundamental problem in image processing and has many applications. Motivated by the recent tight frame based methods on image restoration in either the image or the transform domain, we propose an iterative tight frame algorithm for image inpainting. We consider the convergence of this framelet-based algorithm by interpreting it as an iteration for minimizing a special functional. The proof of the convergence is under the framework of convex analysis and optimization theory. We also discuss the relationship of our method with other wavelet-based methods. Numerical experiments are given to illustrate the performance of the proposed algorithm. (c) 2007 Elsevier Inc. All rights reserved.