期刊文献+

偏微分方程约束的基于模块的图像修复模型 被引量:4

Exemplar-based Inpainting Model Constrained by Partial Differential Equation
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摘要 为了对大规模目标区域的图像进行修复,提出了一种既能保持线性特征和纹理信息,又能应用于大规模目标区域的基于模块的图像修复模型。该模型首先使用像素切向等照度线强度约束修复优先级,由于切向等照度线方程在图像边缘宽度约束下扩散,因此具有很好的线性特征保持性能。这种扩散具备形态学不变性,可修复自然场景图像;然后采用Euclidean距离计算模块相似度,并加入偏微分方程约束,使得线性特征位置的像素点在匹配中影响较大;使用散度约束下总体变分插值法对修复结果进行无接缝效应处理,使得最终修复结果平滑;最后扩展模型相似度函数,使目标区域可被修复为指定的纹理特征。理论和实验结果证明该模型在图像修复中是有效的。 In this paper a novel large target region image inpainting model which can preserve linear structure and texture information is proposed. The model uses a cross isophotes diffusion equation constrain the inpainting order. The cross isophotes equation diffuses considering the edge extent, so the model has good linear structure preserving property. Diffusion of cross isophotes is morphologically invariant and it can fill the target region of the natural scene very well. The euclidean distance is used as the similarity function, while the partial differential equation constraint which is used to enlarge the effect of pixels in linear structure is employed. To reduce the seams caused by this model, and achieve a seamless image, a total variation interpolation constrained by gradient is used in the inpainted result. At last the similarity function is extended, and the target region can be inpainted to the assigned texture. Both theoretical analysis and experiments have verified the validity of the new model.
出处 《中国图象图形学报》 CSCD 北大核心 2007年第11期1980-1987,共8页 Journal of Image and Graphics
基金 国家"973"高技术研究发展规划基金项目(2004CB318005) 国家自然科学基金资助项目(60472033) 教育部博士点基金资助项目(20030004023)
关键词 图像修复 偏微分方程 总体变分 切向等照度线 无接缝效应 image inpainting, partial differential equation (PDE) , total variation (TV) , cross isophotes, seamless
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参考文献14

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同被引文献27

  • 1李宏贵,李兴国,罗正发.基于四叉树的灰度图像压缩方法[J].系统工程与电子技术,2004,26(7):981-984. 被引量:5
  • 2盛琳阳,解凯,张田文.超分辨率图像复原中的快速L-曲线估计[J].小型微型计算机系统,2006,27(6):1120-1123. 被引量:5
  • 3王小鹏,王紫婷.基于视觉感知的双层次阈值边缘连接方法[J].计算机应用,2006,26(8):1845-1847. 被引量:8
  • 4BERTALMIO M, SAPIRO G, CASELLES V, et al. Image inpainting [ C ]//Proc of SIGGRAPH. 2000:417- 424.
  • 5CHAN T,SHEN J. Mathematical models for local nontexture inpaintings [ J]. SIAM Journal on Applied Mathematics, 2001,62 ( 3 ) : ]019-1043.
  • 6CHAN T, KANG S,SHEN J. Euler' s elastica and curvature-based inpainting[ J ]. SIAM Journal Applied Mathematics, 2002,63 ( 2 ) : 564- 592.
  • 7CRIMINISI A P,TOYAMA K. Region filling and object removal by exemplar-based image inpainting [J]. IEEE Trans on Image Processing,2004,1 3(9) :1200-1212.
  • 8DRORI I, COHEN O D, YESHURUN H. Fragment-based image completion [ J ]. ACM Trans on Graphics, 2003,22 ( 3 ) : 303- 312.
  • 9WU Ji-ying, RUAN Qiu-qi. Object removal by cross isophotes exemplar-based inpainting[C]//Proc of the 18th international Conference on Pattern Recognition. 2006 : 810- 813.
  • 10SUN Jian, YUAN Lu, JIA Jia-ya,et al. Image completion with structure propagation[ J]. ACM Trans on Graphics ,2005,24( 3 ) :861-868.

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