TABLE 1. THE TENSOR DECOMPOSITION-BASED APPROACHES FOR HS RS. CATEGORY YEAR METHOD Restoration 2008 LRTA [23] Denoising BRIEF DESCRIPTION Tucker decomposition 2008 PARAFAC [24] 2013 R1TD [28] 2017 LRTR [16] 2019 NTRM [29] 2020 3DTNN/3DLogTNN [18] 2014 TDL 2018 NSNTD [30] 2019 GNWTTN [31] 2015 NLTA-LSM [32] 2016 ITS [33] 2019 NLR-CPTD [34] 2017 LLRT [35] 2019 NGmeet [36] 2020 WLRTR [37] 2020 NLTR [38] 2018 TLR-TV [39] 2018 SSTV-LRTF [17] 2021 MLR-SSTV [40] 2018 LRTDTV [41] 2021 TLR-L1−2SSTV [42] 2019 LRTDGS [43] 2019 LRTFL0 [44] 2021 TLR-l0TV [45] 2019 SNLRSF [46] 2020 LRTF-DFR [47] 2021 DNTSLR [48] Deblurring 2020 WLRTR [37] 2021 OLRT [49] Inpainting 2015 TMac [50] 2015 TNCP [51] 2017 AWTC [52] CP decomposition Rank 1 tensor decomposition Tensor nuclear norm (TNN) Logarithmic TTN Three-directional TNN/log-based TNN Tucker decomposition with dictionary learning Nonlocal similarity-based nonnegative Tucker decomposition Tensor decomposition with Laplacian scale mixture CP + Tucker decomposition CP + Tucker decomposition Hyper-Laplacian prior + unidirectional LRTR Spectral subspace-based unidirectional LRTR Weighted Tucker decomposition NLTR decomposition TNN + 2DTV/3DTV TNN + SSTV Multidirectional weighted TNN + SSTV 3DwTV + Tucker decomposition L1−2SSTV + local patch TNN Weighted group sparsity-regularized TV + Tucker decomposition l0 gradient constraint + LR BT decomposition l0TV + TNN Subspace-based NLR and sparse factorization Double-factor-regularized LR tensor factorization Difference continuity + nonlocal tensor subspace Weighted Tucker decomposition Joint spectral and NLR tensor LRTC by parallel matrix factorization TNN + CP decomposition High-accuracy LRTC (HaLRTC) with well-designed weights PRIOR INFORMATION Spectral correlation CODE LINKS Spectral correlation Spectral correlation Spectral correlation Spectral correlation Spectral correlation Spectral correlation + nonlocal similarity Spectral correlation + nonlocal similarity Global and nonlocal weighted TTN Spectral correlation + nonlocal similarity Spectral correlation + nonlocal similarity Spectral correlation + nonlocal similarity Spectral correlation + nonlocal similarity Nonlocal similarity + spectral smoothness Spectral correlation + Nonlocal similarity Spectral correlation + nonlocal similarity Spectral correlation + nonlocal similarity Spectral correlation + spatial and spectral smoothness Spectral correlation + spatial- spectral smoothness Spectral correlation + spatial- spectral smoothness Spectral correlation + spatial- spectral smoothness Spectral correlation + spatial- spectral smoothness Spectral correlation + spatial- spectral smoothness Spectral correlation + spatial- spectral smoothness Spectral correlation + spatial- spectral smoothness Spectral correlation + nonlocal tensor subspace Subspace spectral correlation + spatial and spectral constraints Spectral correlation + Non-local tensor subspace Spectral correlation + nonlocal similarity Nonlocal similarity + spectral smoothness Spectral correlation Spectral correlation Spectral correlation (Continued) 30 IEEE GEOSCIENCE AND REMOTE SENSING MAGAZINE MARCH 2023 https://owuchangyuo.github. io/ https://owuchangyuo.github. io/ https://chenyong1993.github. io/yongchen.github.io/ http://www.xiongfuli.com/cv/ https://github.com/ minghuawang123/TLR-L0TV https://github.com/ AlgnersYJW/ https://yubangzheng.github. io/homepage/ https://github.com/zhaoxile https://owuchangyuo. github.io/ https://prowdiy.github.io/weihe. github.io/publication.html https://owuchangyuo. github.io/ https://chenyong1993.github. io/yongchen.github.io/ https://gr.xjtu.edu.cn/web/ dymeng/3 https://yubangzheng.github. io/homepage/ http://www.cs.cmu. edu/~deyum/https://yubangzheng.github.io/homepage https://yubangzheng.github.io/homepage http://www.cs.cmu.edu/~deyum/ http://www.cs.cmu.edu/~deyum/ https://gr.xjtu.edu.cn/web/dymeng/3 https://gr.xjtu.edu.cn/web/dymeng/3 https://owuchangyuo.github.io/ https://owuchangyuo.github.io/ https://prowdiy.github.io/weihe.github.io/publication.html https://prowdiy.github.io/weihe.github.io/publication.html https://owuchangyuo.github.io/ https://owuchangyuo.github.io/ https://chenyong1993.github.io/yongchen.github.io https://chenyong1993.github.io/yongchen.github.io https://www.github.com/zhaoxile https://chenyong1993.github.io/yongchen.github.io https://chenyong1993.github.io/yongchen.github.io http://www.xiongfuli.com/cv/ https://github.com/minghuawang123/TLR-L0TV https://github.com/minghuawang123/TLR-L0TV https://github.com/AlgnersYJW https://github.com/AlgnersYJW https://yubangzheng.github.io/homepage https://yubangzheng.github.io/homepage https://owuchangyuo.github.io/ https://owuchangyuo.github.io/ https://owuchangyuo.github.io/ https://owuchangyuo.github.io/