2018
DOI: 10.1109/tvcg.2017.2702738
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Patch-Based Image Inpainting via Two-Stage Low Rank Approximation

Abstract: To recover the corrupted pixels, traditional inpainting methods based on low-rank priors generally need to solve a convex optimization problem by an iterative singular value shrinkage algorithm. In this paper, we propose a simple method for image inpainting using low rank approximation, which avoids the time-consuming iterative shrinkage. Specifically, if similar patches of a corrupted image are identified and reshaped as vectors, then a patch matrix can be constructed by collecting these similar patch-vectors… Show more

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Cited by 128 publications
(67 citation statements)
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“…Image inpainting was originally a traditional graphics problem, mainly based on mathematical and physical methods, using the existing information in the image to restore the defective part of the image. For the defective area in the image, starting from the edge of the target area, using the structure of the non-target area and texture information, the unknown area is predicted and patched according to the matching criteria, so that the filled image is visually reasonable and real [6]. According to different principles, digital image inpainting algorithms can be divided into two categories: structural propagation methods based on partial differential equations (PDEs) [7] and texture synthesis methods based on sample block [8].…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Image inpainting was originally a traditional graphics problem, mainly based on mathematical and physical methods, using the existing information in the image to restore the defective part of the image. For the defective area in the image, starting from the edge of the target area, using the structure of the non-target area and texture information, the unknown area is predicted and patched according to the matching criteria, so that the filled image is visually reasonable and real [6]. According to different principles, digital image inpainting algorithms can be divided into two categories: structural propagation methods based on partial differential equations (PDEs) [7] and texture synthesis methods based on sample block [8].…”
Section: Introductionmentioning
confidence: 99%
“…The confidence of the pixels in the repaired area is mainly updated, and then the next pixel is prepared for inpainting. Steps (2)(3)(4)(5)(6)(7)(8) are repeated until the face image is repaired. 9.…”
mentioning
confidence: 99%
“…As a fundamental ill-posed inverse problem in image processing and low-level vision, digital image restoration aims to reconstruct a latent high-quality image from its degraded observation [7,11]. Up to now, image restoration technology has made great progress, and many advanced methods have been introduced based on a variety of optimization models, mainly including variational calculus and partial differential equations [4,5,8,12], methods based on such priors as exemplar matching and synthesis [13][14][15], sparse representation and low rank approximation [16][17][18][19][20][21][22][23][24][25][26], etc.…”
Section: Introductionmentioning
confidence: 99%
“…For example, an efficient filtering algorithm is proposed in [20] to sparsely represent image patches using singular value decomposition (SVD) and to remove noise in image by iterative singular value shrinkage. Another algorithm proposed in [26] utilizes nonlocal selfsimilarity (NSS) and low rank approximation, which includes two steps of SVD based on a special hard thresholding.…”
Section: Introductionmentioning
confidence: 99%
“…A simulated annealing algorithm is used to solve this metric labeling problem to generate images with better visual quality. In paper [12] a method for image inpainting using low rank approximation, which avoids the time-consuming iterative shrinkage is proposed. The similar patches of a corrupted image are identified and reshaped as vectors, then a patch matrix can be constructed by collecting these similar patchvectors.…”
Section: Introductionmentioning
confidence: 99%