Electronics Optics & Control, Volume. 27, Issue 12, 53(2020)
A Low-Rank Approximation Method for High-Order Images Based on Tensorial Singular Value Decomposition
[5] [5] HOSSEINI A.A regularization term based on a discrete total variation for mathematical image processing[J].arXiv:1711.10534 [math.NA], 2017.
[6] [6] CHEN G, ZHANG J S, LI D F, et al.Robust Kronecker product video denoising based on fractional-order total variation model[J].Signal Processing, 2016, 119(C):1-20.
[7] [7] BIOUCAS-DIAS J M, PLAZA A, CAMPS-VALLS G, et al.Hyperspectral remote sensing data analysis and future challenges[J].IEEE Geoscience and Remote Sensing Magazine, 2013, 1(2):6-36.
[8] [8] DE LATHAUWER L, DE MOOR B, VANDEWALLE J.A multilinear singular value decomposition[J].SIAM Journal on Matrix Analysis and Applications, 2000, 21(4):1253-1278.
[14] [14] KILMER M E, MARTIN C D.Factorization strategies for third-order tensors[J].Linear Algebra and its Applications, 2011, 435(3):641-658.
[18] [18] LU C Y, FENG J S, CHEN Y D, et al.Tensor robust principal component analysis with a new tensor nuclear norm[J].IEEE Transactions on Pattern Analysis and Machine Intelligence, 2020, 42(4):925-938.
[19] [19] REN Y M, LIAO L, MAYBANK S J, et al.Hyperspectral image spectral-spatial feature extraction via tensor principal component analysis[J].IEEE Geoscience and Remote Sensing Letters, 2017, 14(9):1431-1435.
[20] [20] VO T, TRAN D, MA W L.Tensor decomposition and application in image classification with histogram of oriented gradients[J].Neurocomputing, 2015, 165(C):38-45.
[21] [21] KOLDA T G, BADER B W.Tensor decompositions and applications[J].SIAM Review, 2009, 51(3):455-500.
[24] [24] ZHANG Z M, ELY G, AERON S, et al.Novel methods for multilinear data completion and de-noising based on tensor-SVD[C]//IEEE Conference on Computer Vision and Pattern Recognition, 2014:3842-3849.
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YANG Jie, LIAO Liang, WEI Pingjun. A Low-Rank Approximation Method for High-Order Images Based on Tensorial Singular Value Decomposition[J]. Electronics Optics & Control, 2020, 27(12): 53
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Received: Nov. 8, 2019
Accepted: --
Published Online: Jan. 14, 2021
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