| 提花织物图像的Mumford-Shah模型修补算法 |
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| 引用本文： | 冯志林,尹建伟,陈刚,董金祥. 提花织物图像的Mumford-Shah模型修补算法[J]. 计算机辅助设计与图形学学报, 2005, 17(6): 1285-1290 |
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| 作者姓名： | 冯志林 尹建伟 陈刚 董金祥 |
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| 作者单位： | 浙江工业大学之江学院,杭州,310024;浙江大学计算机科学与技术学院,杭州,310027;浙江大学计算机科学与技术学院,杭州,310027 |
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| 基金项目： | 国家自然科学基金(60273056)，国家“八六三”高技术研究发展计划(2003AA411021) |
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| 摘 要： | 提出一种用于填补提花图像中斑点和折痕区域的修补算法，首先对经典Mumford-Shah模型进行了改进，增加了对其不连续点集形成中的光滑度约束；然后通过对改进Mumford-shah模型的梯度流方程的求解，得到了算法的数值解，梯度流方程包含两个相互耦合的二阶偏微分方程，分别用于灰度函数和不连续点集示性函数的演化，对含噪提花织物图像进行修补的结果证明了该算法的可行性。
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| 关 键 词： | Mumford-Shah模型 水平集 凸残差 图像修补 |
Image Inpainting Algorithm for Jacquard Images Based on Mumford-Shah Model |
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| Feng Zhilin,Yin Jianwei,Chen Gang,Dong Jinxiang. Image Inpainting Algorithm for Jacquard Images Based on Mumford-Shah Model[J]. Journal of Computer-Aided Design & Computer Graphics, 2005, 17(6): 1285-1290 |
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| Authors: | Feng Zhilin Yin Jianwei Chen Gang Dong Jinxiang |
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| Abstract: | An effective inpainting algorithm for filling-in of spots and cracks in jacquard images is proposed. It first improves the classical Mumford-Shah model by imposing some explicit smooth constraints on the formation of discontinuities. Then, a numerical solution of the improved Mumford-Shah model is implemented by its gradient descent flow which leads to two coupled second order partial differential equations, one for the gray levels and the other for the signature function of discontinuities. Experiments on noisy jacquard images are presented to illustrate the feasibility of the algorithm. |
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| Keywords: | Mumford-Shah model level set convex residual variance image inpainting |
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