Liu, Yun-Yang; Zhao, Xi-Le; Song, Guang-Jing; Zheng, Yu-Bang; Ng, Michael K.; Huang, Ting-Zhu Fully-connected tensor network decomposition for robust tensor completion problem. (English) Zbl 1528.94007 Inverse Probl. Imaging 18, No. 1, 208-238 (2024). MSC: 94A08 68U10 65F50 90C26 PDFBibTeX XMLCite \textit{Y.-Y. Liu} et al., Inverse Probl. Imaging 18, No. 1, 208--238 (2024; Zbl 1528.94007) Full Text: DOI arXiv
Wu, Zhong-Cheng; Huang, Ting-Zhu; Deng, Liang-Jian; Vivone, Gemine A framelet sparse reconstruction method for pansharpening with guaranteed convergence. (English) Zbl 1519.94007 Inverse Probl. Imaging 17, No. 6, 1277-1300 (2023). Reviewer: Hang Lau (Montréal) MSC: 94A08 68U10 65F50 42C15 42C40 PDFBibTeX XMLCite \textit{Z.-C. Wu} et al., Inverse Probl. Imaging 17, No. 6, 1277--1300 (2023; Zbl 1519.94007) Full Text: DOI
Xu, Ting; Huang, Ting-Zhu; Deng, Liang-Jian; Dou, Hong-Xia; Yokoya, Naoto TR-STF: a fast and accurate tensor ring decomposition algorithm via defined scaled tri-factorization. (English) Zbl 07714792 Comput. Appl. Math. 42, No. 5, Paper No. 234, 25 p. (2023). MSC: 65F99 15A69 PDFBibTeX XMLCite \textit{T. Xu} et al., Comput. Appl. Math. 42, No. 5, Paper No. 234, 25 p. (2023; Zbl 07714792) Full Text: DOI
Lyu, Cheng-Yao; Zhao, Xi-Le; Li, Ben-Zheng; Zhang, Hao; Huang, Ting-Zhu Multi-dimensional image recovery via fully-connected tensor network decomposition under the learnable transforms. (English) Zbl 1504.94015 J. Sci. Comput. 93, No. 2, Paper No. 49, 24 p. (2022). MSC: 94A08 68U10 65D18 PDFBibTeX XMLCite \textit{C.-Y. Lyu} et al., J. Sci. Comput. 93, No. 2, Paper No. 49, 24 p. (2022; Zbl 1504.94015) Full Text: DOI
Zheng, Yu-Bang; Huang, Ting-Zhu; Zhao, Xi-Le; Zhao, Qibin Tensor completion via fully-connected tensor network decomposition with regularized factors. (English) Zbl 1498.65064 J. Sci. Comput. 92, No. 1, Paper No. 8, 35 p. (2022). MSC: 65F99 65K10 15A69 PDFBibTeX XMLCite \textit{Y.-B. Zheng} et al., J. Sci. Comput. 92, No. 1, Paper No. 8, 35 p. (2022; Zbl 1498.65064) Full Text: DOI
Guo, Lin; Zhao, Xi-Le; Gu, Xian-Ming; Zhao, Yong-Liang; Zheng, Yu-Bang; Huang, Ting-Zhu Three-dimensional fractional total variation regularized tensor optimized model for image deblurring. (English) Zbl 1510.94012 Appl. Math. Comput. 404, Article ID 126224, 14 p. (2021). MSC: 94A08 68U10 PDFBibTeX XMLCite \textit{L. Guo} et al., Appl. Math. Comput. 404, Article ID 126224, 14 p. (2021; Zbl 1510.94012) Full Text: DOI
Ding, Meng; Huang, Ting-Zhu; Zhao, Xi-Le; Ng, Michael K.; Ma, Tian-Hui Tensor train rank minimization with nonlocal self-similarity for tensor completion. (English) Zbl 1467.94004 Inverse Probl. Imaging 15, No. 3, 475-498 (2021). MSC: 94A08 68U10 PDFBibTeX XMLCite \textit{M. Ding} et al., Inverse Probl. Imaging 15, No. 3, 475--498 (2021; Zbl 1467.94004) Full Text: DOI arXiv
Li, Xin; Huang, Ting-Zhu; Zhao, Xi-Le; Ji, Teng-Yu; Zheng, Yu-Bang; Deng, Liang-Jian Adaptive total variation and second-order total variation-based model for low-rank tensor completion. (English) Zbl 1456.65029 Numer. Algorithms 86, No. 1, 1-24 (2021). MSC: 65F55 15A69 15A83 PDFBibTeX XMLCite \textit{X. Li} et al., Numer. Algorithms 86, No. 1, 1--24 (2021; Zbl 1456.65029) Full Text: DOI
Yang, Jing-Hua; Zhao, Xi-Le; Ma, Tian-Hui; Ding, Meng; Huang, Ting-Zhu Tensor train rank minimization with hybrid smoothness regularization for visual data recovery. (English) Zbl 1481.90257 Appl. Math. Modelling 81, 711-726 (2020). MSC: 90C25 15A69 15A83 94A08 PDFBibTeX XMLCite \textit{J.-H. Yang} et al., Appl. Math. Modelling 81, 711--726 (2020; Zbl 1481.90257) Full Text: DOI
Jiang, Tai-Xiang; Huang, Ting-Zhu; Zhao, Xi-Le; Deng, Liang-Jian Multi-dimensional imaging data recovery via minimizing the partial sum of tubal nuclear norm. (English) Zbl 1432.68530 J. Comput. Appl. Math. 372, Article ID 112680, 15 p. (2020). MSC: 68U10 15A69 62H25 68T05 PDFBibTeX XMLCite \textit{T.-X. Jiang} et al., J. Comput. Appl. Math. 372, Article ID 112680, 15 p. (2020; Zbl 1432.68530) Full Text: DOI arXiv
Yang, Jing-Hua; Zhao, Xi-Le; Mei, Jin-Jin; Wang, Si; Ma, Tian-Hui; Huang, Ting-Zhu Total variation and high-order total variation adaptive model for restoring blurred images with Cauchy noise. (English) Zbl 1442.94015 Comput. Math. Appl. 77, No. 5, 1255-1272 (2019). MSC: 94A08 65R32 PDFBibTeX XMLCite \textit{J.-H. Yang} et al., Comput. Math. Appl. 77, No. 5, 1255--1272 (2019; Zbl 1442.94015) Full Text: DOI
Zheng, Yu-Bang; Huang, Ting-Zhu; Ji, Teng-Yu; Zhao, Xi-Le; Jiang, Tai-Xiang; Ma, Tian-Hui Low-rank tensor completion via smooth matrix factorization. (English) Zbl 1462.90096 Appl. Math. Modelling 70, 677-695 (2019). MSC: 90C25 15A69 15A83 PDFBibTeX XMLCite \textit{Y.-B. Zheng} et al., Appl. Math. Modelling 70, 677--695 (2019; Zbl 1462.90096) Full Text: DOI
Cheng, Ming-Hui; Huang, Ting-Zhu; Zhao, Xi-Le; Ma, Tian-Hui; Huang, Jie A variational model with hybrid hyper-Laplacian priors for Retinex. (English) Zbl 1481.92033 Appl. Math. Modelling 66, 305-321 (2019). MSC: 92C30 90C90 PDFBibTeX XMLCite \textit{M.-H. Cheng} et al., Appl. Math. Modelling 66, 305--321 (2019; Zbl 1481.92033) Full Text: DOI
Ding, Meng; Huang, Ting-Zhu; Ji, Teng-Yu; Zhao, Xi-Le; Yang, Jing-Hua Low-rank tensor completion using matrix factorization based on tensor train rank and total variation. (English) Zbl 1466.94005 J. Sci. Comput. 81, No. 2, 941-964 (2019). MSC: 94A08 65F05 65K10 PDFBibTeX XMLCite \textit{M. Ding} et al., J. Sci. Comput. 81, No. 2, 941--964 (2019; Zbl 1466.94005) Full Text: DOI
Huang, Jie; Huang, Ting-Zhu A nonstationary accelerating alternating direction method for frame-based Poissonian image deblurring. (English) Zbl 1454.94016 J. Comput. Appl. Math. 352, 181-193 (2019). MSC: 94A08 65D18 PDFBibTeX XMLCite \textit{J. Huang} and \textit{T.-Z. Huang}, J. Comput. Appl. Math. 352, 181--193 (2019; Zbl 1454.94016) Full Text: DOI
Jiang, Tai-Xiang; Huang, Ting-Zhu; Zhao, Xi-Le; Ji, Teng-Yu; Deng, Liang-Jian Matrix factorization for low-rank tensor completion using framelet prior. (English) Zbl 1448.15015 Inf. Sci. 436-437, 403-417 (2018). MSC: 15A23 15A69 65F55 PDFBibTeX XMLCite \textit{T.-X. Jiang} et al., Inf. Sci. 436--437, 403--417 (2018; Zbl 1448.15015) Full Text: DOI
Chen, Yong; Huang, Ting-Zhu; Zhao, Xi-Le; Deng, Liang-Jian Hyperspectral image restoration using framelet-regularized low-rank nonnegative matrix factorization. (English) Zbl 1480.65101 Appl. Math. Modelling 63, 128-147 (2018). MSC: 65F55 15A23 90C25 94A08 PDFBibTeX XMLCite \textit{Y. Chen} et al., Appl. Math. Modelling 63, 128--147 (2018; Zbl 1480.65101) Full Text: DOI
Ji, Teng-Yu; Huang, Ting-Zhu; Zhao, Xi-Le; Ma, Tian-Hui; Deng, Liang-Jian A non-convex tensor rank approximation for tensor completion. (English) Zbl 1480.90259 Appl. Math. Modelling 48, 410-422 (2017). MSC: 90C90 15A69 15A86 90C26 PDFBibTeX XMLCite \textit{T.-Y. Ji} et al., Appl. Math. Modelling 48, 410--422 (2017; Zbl 1480.90259) Full Text: DOI
Zhao, Qing-Nan; Huang, Ting-Zhu; Zhao, Xi-Le; Ma, Tian-Hui; Cheng, Ming-Hui A convex optimization model and algorithm for retinex. (English) Zbl 1426.90202 Math. Probl. Eng. 2017, Article ID 4012767, 14 p. (2017). MSC: 90C25 94A08 PDFBibTeX XMLCite \textit{Q.-N. Zhao} et al., Math. Probl. Eng. 2017, Article ID 4012767, 14 p. (2017; Zbl 1426.90202) Full Text: DOI
Fan, Ya-Ru; Huang, Ting-Zhu; Ma, Tian-Hui; Zhao, Xi-Le Cartoon-texture image decomposition via non-convex low-rank texture regularization. (English) Zbl 1364.94093 J. Franklin Inst. 354, No. 7, 3170-3187 (2017). MSC: 94A08 68U10 90C26 PDFBibTeX XMLCite \textit{Y.-R. Fan} et al., J. Franklin Inst. 354, No. 7, 3170--3187 (2017; Zbl 1364.94093) Full Text: DOI
Wang, Si; Guo, Weihong; Huang, Ting-Zhu; Raskutti, Garvesh Image inpainting using reproducing kernel Hilbert space and Heaviside functions. (English) Zbl 1382.94026 J. Comput. Appl. Math. 311, 551-564 (2017). MSC: 94A08 68U10 65D18 PDFBibTeX XMLCite \textit{S. Wang} et al., J. Comput. Appl. Math. 311, 551--564 (2017; Zbl 1382.94026) Full Text: DOI
Mei, Jin-Jin; Huang, Ting-Zhu Primal-dual splitting method for high-order model with application to image restoration. (English) Zbl 1452.94006 Appl. Math. Modelling 40, No. 3, 2322-2332 (2016). MSC: 94A08 68U10 65K10 PDFBibTeX XMLCite \textit{J.-J. Mei} and \textit{T.-Z. Huang}, Appl. Math. Modelling 40, No. 3, 2322--2332 (2016; Zbl 1452.94006) Full Text: DOI
Ji, Teng-Yu; Huang, Ting-Zhu; Zhao, Xi-Le; Ma, Tian-Hui; Liu, Gang Tensor completion using total variation and low-rank matrix factorization. (English) Zbl 1387.94038 Inf. Sci. 326, 243-257 (2016). MSC: 94A12 65F30 PDFBibTeX XMLCite \textit{T.-Y. Ji} et al., Inf. Sci. 326, 243--257 (2016; Zbl 1387.94038) Full Text: DOI
Cai, Yuantao; Donatelli, Marco; Bianchi, Davide; Huang, Ting-Zhu Regularization preconditioners for frame-based image deblurring with reduced boundary artifacts. (English) Zbl 1382.94010 SIAM J. Sci. Comput. 38, No. 1, B164-B189 (2016). MSC: 94A08 65F08 65F22 65F10 65T60 PDFBibTeX XMLCite \textit{Y. Cai} et al., SIAM J. Sci. Comput. 38, No. 1, B164--B189 (2016; Zbl 1382.94010) Full Text: DOI arXiv
Liu, Jun; Huang, Ting-Zhu; Lv, Xiao-Guang; Huang, Jie Restoration of blurred color images with impulse noise. (English) Zbl 1443.94021 Comput. Math. Appl. 70, No. 6, 1255-1265 (2015). MSC: 94A08 68U05 68U10 PDFBibTeX XMLCite \textit{J. Liu} et al., Comput. Math. Appl. 70, No. 6, 1255--1265 (2015; Zbl 1443.94021) Full Text: DOI
Wang, Si; Huang, Ting-Zhu; Zhao, Xi-le; Liu, Jun An alternating direction method for mixed Gaussian plus impulse noise removal. (English) Zbl 1470.94059 Abstr. Appl. Anal. 2013, Article ID 850360, 11 p. (2013). MSC: 94A12 65K10 PDFBibTeX XMLCite \textit{S. Wang} et al., Abstr. Appl. Anal. 2013, Article ID 850360, 11 p. (2013; Zbl 1470.94059) Full Text: DOI
Xu, Yi; Huang, Ting-Zhu; Liu, Jun; Lv, Xiao-Guang Split Bregman iteration algorithm for image deblurring using fourth-order total bounded variation regularization model. (English) Zbl 1266.65040 J. Appl. Math. 2013, Article ID 238561, 11 p. (2013). MSC: 65D18 68U10 PDFBibTeX XMLCite \textit{Y. Xu} et al., J. Appl. Math. 2013, Article ID 238561, 11 p. (2013; Zbl 1266.65040) Full Text: DOI