Title
Low-Rank Tensor Completion For Image And Video Recovery Via Capped Nuclear Norm
Abstract
Inspired by the robustness and efficiency of the capped nuclear norm, in this paper, we apply it to 3D tensor applications and propose a novel low-rank tensor completion method via tensor singular value decomposition (t-SVD) for image and video recovery. The proposed tensor capped nuclear norm model (TCNN) handles corrupted low-rank tensors by sparsity enhancement via truncating its partial singular values dynamically. We also develop a simple and efficient algorithm to solve the proposed nonconvex and nonsmooth optimization problem using the Majorization-Minimization (MM) framework. Since the proposed algorithm admits a closed-form solution by optimizing a well-selected approximate version of the original objective function at each iteration, it is very efficient. Experimental results on both synthetic and real-world datasets, clearly demonstrate the superior performance of the proposed method.
Year
DOI
Venue
2019
10.1109/ACCESS.2019.2934482
IEEE ACCESS
Keywords
DocType
Volume
Low-rank tensor completion, tensor singular value decomposition, capped nuclear norm, visual data completion
Journal
7
ISSN
Citations 
PageRank 
2169-3536
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
Xi Chen152.07
Jie Li221.40
Yun Song300.34
Feng Li400.34
Jianjun Chen53912.52
Kun Yang62045177.36