Fast local image inpainting based on the Allen-Cahn model
Fast local image inpainting based on the Allen-Cahn model
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DOI：
10.1016/j.dsp.2014.11.006
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发表时间：
2015-02-01
影响因子：
2.9
通讯作者：
Kim, Junseok
中科院分区：
文献类型：
--
作者：
Li, Yibao;Jeong, Darae;Kim, Junseok
本文提出了一种基于Allen-Cahn模型的快速局部图像修复算法。该算法仅适用于修复域，具有两个特点。第一个特征是修复域中的像素值是通过曲率驱动的扩散并利用来自修复区域外部的图像信息来获得的。第二个特征是修复区域外部的像素值与原始输入图像中的像素值相同，因为我们不计算修复区域的外部。因此，所提出的方法是计算效率。利用算子分裂技术将控制方程分裂为一个线性方程和一个非线性方程。线性方程采用全隐格式离散，非线性方程采用解析法求解。我们证明了该方案的无条件稳定性。为了证明所提出的方法的鲁棒性和准确性，各种数值结果的真实的和合成图像。(C)2014爱思唯尔公司All rights reserved.
In this paper, we propose a fast local image inpainting algorithm based on the Allen-Cahn model. The proposed algorithm is applied only on the inpainting domain and has two features. The first feature is that the pixel values in the inpainting domain are obtained by curvature-driven diffusions and utilizing the image information from the outside of the inpainting region. The second feature is that the pixel values outside of the inpainting region are the same as those in the original input image since we do not compute the outside of the inpainting region. Thus the proposed method is computationally efficient. We split the governing equation into one linear equation and one nonlinear equation by using an operator splitting technique. The linear equation is discretized by using a fully implicit scheme and the nonlinear equation is solved analytically. We prove the unconditional stability of the proposed scheme. To demonstrate the robustness and accuracy of the proposed method, various numerical results on real and synthetic images are presented. (C) 2014 Elsevier Inc. All rights reserved.