Texture Repairing by Unified Low Rank Optimization

doi:10.1007/s11390-016-1645-3

	Texture Repairing by Unified Low Rank Optimization
	Liang, Xiao 1; Ren, Xiang 2; Zhang, Zhengdong 3; Ma, Yi4
	2016-05
发表期刊	JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY (IF:1.2[JCR-2023],1.7[5-Year])
ISSN	1000-9000
卷号	31 期号:3 页码:525-546
发表状态	已发表
DOI	10.1007/s11390-016-1645-3
摘要	In this paper, we show how to harness both low-rank and sparse structures in regular or near-regular textures for image completion. Our method is based on a unified formulation for both random and contiguous corruption. In addition to the low rank property of texture, the algorithm also uses the sparse assumption of the natural image: because the natural image is piecewise smooth, it is sparse in certain transformed domain (such as Fourier or wavelet transform). We combine low-rank and sparsity properties of the texture image together in the proposed algorithm. Our algorithm based on convex optimization can automatically and correctly repair the global structure of a corrupted texture, even without precise information about the regions to be completed. This algorithm integrates texture rectification and repairing into one optimization problem. Through extensive simulations, we show our method can complete and repair textures corrupted by errors with both random and contiguous supports better than existing low-rank matrix recovery methods. Our method demonstrates significant advantage over local patch based texture synthesis techniques in dealing with large corruption, non-uniform texture, and large perspective deformation.
关键词	low-rank texture convex optimization sparse error correction image repairing
收录类别	SCI ; CPCI ; CSCD ; EI
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Hardware & Architecture ; Computer Science, Software Engineering
WOS记录号	WOS:000375932200009
CSCD记录号	CSCD:5704980
出版者	SCIENCE PRESS
EI入藏号	20162202449396
EI主题词	Algorithms ; Convex optimization ; Crime ; Error correction ; Optimization ; Random errors ; Repair ; Wavelet transforms
EI分类号	Data Processing and Image Processing:723.2 ; Maintenance:913.5 ; Mathematical Transformations:921.3 ; Optimization Techniques:921.5 ; Social Sciences:971
WOS关键词	IMAGE ; COMPLETION ; FRAMEWORK ; ALGORITHM
原始文献类型	Article ; Proceedings Paper
引用统计	正在获取...
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/1848
专题	信息科学与技术学院信息科学与技术学院_PI研究组_马毅组
通讯作者	Liang, Xiao; Ren, Xiang; Zhang, Zhengdong; Ma, Yi
作者单位	1.Tsinghua Univ, Inst Adv Study, Beijing 100086, Peoples R China 2.Univ Illinois, Dept Comp Sci, Urbana, IL 61801 USA 3.MIT, Dept Elect Engn & Comp Sci, Cambridge, MA 02139 USA 4.ShanghaiTech Univ, Sch Informat Sci & Technol, Shanghai 200031, Peoples R China
通讯作者单位	信息科学与技术学院
推荐引用方式 GB/T 7714	Liang, Xiao,Ren, Xiang,Zhang, Zhengdong,et al. Texture Repairing by Unified Low Rank Optimization[J]. JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY,2016,31(3):525-546.
APA	Liang, Xiao,Ren, Xiang,Zhang, Zhengdong,&Ma, Yi.(2016).Texture Repairing by Unified Low Rank Optimization.JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY,31(3),525-546.
MLA	Liang, Xiao,et al."Texture Repairing by Unified Low Rank Optimization".JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY 31.3(2016):525-546.