Edit Profile (opens in new tab) Shen, Zuowei Co-Author Distance Author ID: shen.zuowei Published as: Shen, Zuowei; Shen, Z. Homepage: http://www.math.nus.edu.sg/~matzuows/ External Links: MGP · Wikidata · dblp Documents Indexed: 142 Publications since 1990, including 6 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 92 Co-Authors with 139 Joint Publications 3,050 Co-Co-Authors all top 5 Co-Authors 5 single-authored 22 Ji, Hui 19 Cai, Jian-Feng 18 Dong, Bin 15 Ron, Amos 13 Han, Bin 12 Riemenschneider, Sherman D. 10 Chan, Raymond Hon-Fu 8 Shen, Lixin 7 Goh, Say Song 7 Jiang, Qingtang 7 Yang, Haizhao 6 Jia, Rong-Qing 6 Lee, Seng Luan 6 Li, Jia 6 Osher, Stanley Joel 6 Zhang, Shijun 5 Bao, Chenglong 5 Xu, Yuhong 5 Zhang, Xiaoqun 4 Lawton, Wayne M. 4 Li, Qianxiao 4 Lin, Ting 4 Zhao, Yufei 3 Fan, Zhitao 3 Liu, Chaoqiang 3 Toh, Kim Chuan 3 Yang, Jianbin 2 Bi, Ning 2 Chan, Tony Fan-Cheong 2 Chien, Aichi 2 de Boor, Carl 2 Hou, Likun 2 Kutyniok, Gitta 2 Pang, Tongyao 2 Tai, Cheng 2 Tang, Wai-Shing 2 Xie, Peichu 2 Ye, Gui-Bo 1 Barbastathis, George 1 Candès, Emmanuel J. 1 Chai, Anwei 1 Cheng, Jingpu 1 Daubechies, Ingrid Chantal 1 Deng, Wei 1 Dyn, Nira 1 Gong, Zheng 1 Goodman, Timothy N. T. 1 Gu, Lixu 1 Hegland, Markus 1 Heinecke, Andreas 1 Hormann, Kai 1 Huang, Sibin 1 Jetter, Kurt 1 Jiang, Hong 1 Johnson, Michael James 1 Kim, Hong Oh 1 Kim, Rae Young 1 Li, Jiahong 1 Li, Ming 1 Li, Qingna 1 Liang, Jingwei 1 Lim, Jae Kun 1 Lim, Zhi Yuan 1 Liu, Jiulong 1 Lu, Jianfeng 1 Lu, Lanyuan 1 Luo, Yu 1 Miao, Chuang 1 Micchelli, Charles A. 1 Mo, Qun 1 Nielsen, Ole Møller 1 Ong, Yong Zheng 1 Quan, Yuhui 1 Sabin, Malcolm A. 1 Shang, Fuchun 1 Stahl, Dominik 1 Tong, Dudu 1 Wang, Ge 1 Wang, Kang 1 Wen, Zaiwen 1 Xia, Tao 1 Xiang, Xueshuang 1 Xu, Yuesheng 1 Xu, Zhiqiang 1 Yin, Rujie 1 Yu, Hengyong 1 Yun, Sangwoon 1 Zhang, Xue 1 Zhang, Zhengyun 1 Zhou, Junqi 1 Zhu, Guanhua 1 Zhuang, Xiaosheng all top 5 Serials 22 Applied and Computational Harmonic Analysis 10 SIAM Journal on Mathematical Analysis 7 Journal of Approximation Theory 7 SIAM Journal on Imaging Sciences 6 Mathematics of Computation 5 Proceedings of the American Mathematical Society 5 Constructive Approximation 5 The Journal of Fourier Analysis and Applications 5 Multiscale Modeling & Simulation 4 Journal of Computational Physics 4 Numerische Mathematik 4 SIAM Journal on Scientific Computing 4 Inverse Problems and Imaging 3 SIAM Journal on Numerical Analysis 3 Advances in Computational Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Journal of Computational Mathematics 2 Journal of Scientific Computing 2 Neural Networks 2 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 2 East Asian Journal on Applied Mathematics 1 Applicable Analysis 1 Inverse Problems 1 Israel Journal of Mathematics 1 Advances in Mathematics 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Studies in Applied Mathematics 1 Advances in Applied Mathematics 1 Approximation Theory and its Applications 1 Journal of the American Mathematical Society 1 SIAM Journal on Matrix Analysis and Applications 1 Neural Computation 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 SIAM Journal on Optimization 1 ETNA. Electronic Transactions on Numerical Analysis 1 Methods and Applications of Analysis 1 Journal of the European Mathematical Society (JEMS) 1 IEEE Transactions on Image Processing 1 Communications in Mathematical Sciences 1 Communications in Computational Physics all top 5 Fields 76 Harmonic analysis on Euclidean spaces (42-XX) 59 Numerical analysis (65-XX) 53 Information and communication theory, circuits (94-XX) 45 Approximations and expansions (41-XX) 27 Computer science (68-XX) 13 Operations research, mathematical programming (90-XX) 8 Functional analysis (46-XX) 6 Operator theory (47-XX) 6 Biology and other natural sciences (92-XX) 5 Partial differential equations (35-XX) 4 Statistics (62-XX) 3 Integral equations (45-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 4,391 times in 2,099 Documents Cited by ▼ Year ▼ A singular value thresholding algorithm for matrix completion. Zbl 1201.90155 Cai, Jian-Feng; Candès, Emmanuel J.; Shen, Zuowei 504 2010 Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator. Zbl 0891.42018 Ron, Amos; Shen, Zuowei 371 1997 Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031 Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei 326 2003 Split Bregman methods and frame based image restoration. Zbl 1189.94014 Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 196 2010 Frames and stable bases for shift-invariant subspaces of \(L_ 2(\mathbb{R}^ d)\). Zbl 0838.42016 Ron, Amos; Shen, Zuowei 178 1995 Weyl-Heisenberg frames and Riesz bases in \(L_2(\mathbb{R}^d)\). Zbl 0892.42017 Ron, Amos; Shen, Zuowei 133 1997 A framelet-based image inpainting algorithm. Zbl 1135.68056 Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei 114 2008 Image restoration: total variation, wavelet frames, and beyond. Zbl 1277.35019 Cai, Jian-Feng; Dong, Bin; Osher, Stanley; Shen, Zuowei 103 2012 Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems. Zbl 0904.42025 Ron, Amos; Shen, Zuowei 102 1997 Linearized Bregman iterations for compressed sensing. Zbl 1198.65102 Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 84 2009 Refinable function vectors. Zbl 0913.42028 Shen, Zuowei 73 1998 Linearized Bregman iterations for frame-based image deblurring. Zbl 1175.94010 Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 73 2009 Tight frame: an efficient way for high-resolution image reconstruction. Zbl 1046.42026 Chan, Raymond H.; Riemenschneider, Sherman D.; Shen, Lixin; Shen, Zuowei 69 2004 Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127 Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei 68 2003 Pseudo-splines, wavelets and framelets. Zbl 1282.42035 Dong, Bin; Shen, Zuowei 63 2007 Wavelet frames and image restorations. Zbl 1228.42036 Shen, Zuowei 62 2011 Multiresolution and wavelets. Zbl 0809.42018 Jia, Rong-Qing; Shen, Zuowei 56 1994 Dual wavelet frames and Riesz bases in Sobolev spaces. Zbl 1161.42018 Han, Bin; Shen, Zuowei 54 2009 Convergence of the linearized Bregman iteration for \(\ell _1\)-norm minimization. Zbl 1198.65103 Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 54 2009 Compactly supported tight affine spline frames in \(L_{2}(\mathbb{R}^{d})\). Zbl 0892.42018 Ron, Amos; Shen, Zuowei 53 1998 Data-driven tight frame construction and image denoising. Zbl 1336.94008 Cai, Jian-Feng; Ji, Hui; Shen, Zuowei; Ye, Gui-Bo 52 2014 Wavelet frame based blind image inpainting. Zbl 1261.94006 Dong, Bin; Ji, Hui; Li, Jia; Shen, Zuowei; Xu, Yuhong 49 2012 Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003 Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei 49 2008 Generalized shift-invariant systems. Zbl 1080.42025 Ron, Amos; Shen, Zuowei 47 2005 Wavelets and pre-wavelets in low dimensions. Zbl 0772.41019 Riemenschneider, Sherman D.; Shen, Zuowei 45 1992 An algorithm for matrix extension and wavelet construction. Zbl 0842.41011 Lawton, W.; Lee, S. L.; Shen, Zuowei 44 1996 Convergence analysis of tight framelet approach for missing data recovery. Zbl 1172.94309 Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei 43 2009 Stability and orthonormality of multivariate refinable functions. Zbl 0872.41003 Lawton, W.; Lee, S. L.; Shen, Zuowei 39 1997 Deep network approximation for smooth functions. Zbl 07407717 Lu, Jianfeng; Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 38 2021 Simultaneous cartoon and texture inpainting. Zbl 1198.94021 Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei 38 2010 MRA-based wavelet frames and applications. Zbl 1344.94009 Dong, Bin; Shen, Zuowei 37 2013 Deconvolution: a wavelet frame approach. Zbl 1120.65134 Chai, Anwei; Shen, Zuowei 37 2007 Nontensor product wavelet packets in \(L_ 2 (\mathbb{R}^ s)\). Zbl 0826.42025 Shen, Zuowei 36 1995 Wavelets with short support. Zbl 1119.42016 Han, Bin; Shen, Zuowei 34 2007 Multivariate compactly supported fundamental refinable functions, duals, and biorthogonal wavelets. Zbl 1005.42019 Ji, Hui; Riemenschneider, Sherman D.; Shen, Zuowei 32 1999 On existence and weak stability of matrix refinable functions. Zbl 0932.42028 Jiang, Qingtang; Shen, Zuowei 31 1999 Characterization of compactly supported refinable splines. Zbl 0828.41006 Lawton, Wayne; Lee, S. L.; Shen, Zuowei 31 1995 Multidimensional interpolatory subdivision schemes. Zbl 0889.65005 Riemenschneider, Sherman D.; Shen, Zuowei 29 1997 Restoration of chopped and nodded images by framelets. Zbl 1161.94303 Cai, Jian-Feng; Chan, Raymond; Shen, Lixin; Shen, Zuowei 29 2008 Image restoration: a wavelet frame based model for piecewise smooth functions and beyond. Zbl 1339.65028 Cai, Jian-Feng; Dong, Bin; Shen, Zuowei 29 2016 Framelet-based blind motion deblurring from a single image. Zbl 1372.94029 Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei 29 2012 Convergence of multidimensional cascade algorithm. Zbl 0890.41005 Lawton, W.; Lee, S. L.; Shen, Zuowei 26 1998 Deep network approximation characterized by number of neurons. Zbl 1507.68276 Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 26 2020 X-ray CT image reconstruction via wavelet frame based regularization and Radon domain inpainting. Zbl 1308.94015 Dong, Bin; Li, Jia; Shen, Zuowei 25 2013 The Sobolev regularity of refinable functions. Zbl 0966.42026 Ron, Amos; Shen, Zuowei 23 2000 Image restoration: wavelet frame shrinkage, nonlinear evolution PDEs, and beyond. Zbl 1378.35159 Dong, Bin; Jiang, Qingtang; Shen, Zuowei 23 2017 Nonlinear approximation via compositions. Zbl 1475.41013 Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 23 2019 Image restoration by minimizing zero norm of wavelet frame coefficients. Zbl 1409.94026 Bao, Chenglong; Dong, Bin; Hou, Likun; Shen, Zuowei; Zhang, Xiaoqun; Zhang, Xue 22 2016 Compactly supported symmetric \(C^\infty\) wavelets with spectral approximation order. Zbl 1161.42312 Han, Bin; Shen, Zuowei 20 2008 Deep network with approximation error being reciprocal of width to power of square root of depth. Zbl 1521.41007 Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 20 2021 Distributional solutions of nonhomogeneous discrete and continuous refinement equations. Zbl 0980.42035 Jia, Rong-Qing; Jiang, Qingtang; Shen, Zuowei 19 2000 Convergence of cascade algorithms associated with nonhomogeneous refinement equations. Zbl 0956.42025 Jia, Rong-Qing; Jiang, Qingtang; Shen, Zuowei 19 2001 Wavelets from the loop scheme. Zbl 1129.42434 Han, Bin; Shen, Zuowei 18 2005 Robust video restoration by joint sparse and low rank matrix approximation. Zbl 1234.68451 Ji, Hui; Huang, Sibin; Shen, Zuowei; Xu, Yuhong 18 2011 An accelerated proximal gradient algorithm for frame-based image restoration via the balanced approach. Zbl 1219.94012 Shen, Zuowei; Toh, Kim-Chuan; Yun, Sangwoon 18 2011 Compactly supported (bi)orthogonal wavelets generated by interpolatory refinable functions. Zbl 0937.65145 Ji, Hui; Shen, Zuowei 17 1999 Dual Gramian analysis: duality principle and unitary extension principle. Zbl 1326.42037 Fan, Zhitao; Ji, Hui; Shen, Zuowei 17 2016 Image restoration with mixed or unknown noises. Zbl 1380.94021 Gong, Zheng; Shen, Zuowei; Toh, Kim-Chuan 17 2014 Linear independence of pseudo-splines. Zbl 1100.42025 Dong, Bin; Shen, Zuowei 17 2006 Adaptive multiresolution analysis structures and shearlet systems. Zbl 1283.42053 Han, Bin; Kutyniok, Gitta; Shen, Zuowei 17 2011 Simultaneously inpainting in image and transformed domains. Zbl 1168.94312 Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei 17 2009 Characterization of Sobolev spaces of arbitrary smoothness using nonstationary tight wavelet frames. Zbl 1180.42004 Han, Bin; Shen, Zuowei 17 2009 Frame based segmentation for medical images. Zbl 1232.42032 Dong, Bin; Chien, Aichi; Shen, Zuowei 17 2011 Framelet based deconvolution. Zbl 1224.65316 Cai, Jianfeng; Shen, Zuowei 17 2010 A framelet algorithm for enhancing video stills. Zbl 1122.68148 Chan, Raymond H.; Shen, Zuowei; Xia, Tao 17 2007 Convergence analysis for iterative data-driven tight frame construction scheme. Zbl 1361.94006 Bao, Chenglong; Ji, Hui; Shen, Zuowei 16 2015 Data-driven multi-scale non-local wavelet frame construction and image recovery. Zbl 1331.68273 Quan, Yuhui; Ji, Hui; Shen, Zuowei 15 2015 Construction of biorthogonal wavelets from pseudo-splines. Zbl 1083.42028 Dong, Bin; Shen, Zuowei 14 2006 Duality for frames. Zbl 1332.42024 Fan, Zhitao; Heinecke, Andreas; Shen, Zuowei 14 2016 Scattered data reconstruction by regularization in B-spline and associated wavelet spaces. Zbl 1181.41013 Johnson, Michael J.; Shen, Zuowei; Xu, Yuhong 13 2009 Neural network approximation: three hidden layers are enough. Zbl 07743433 Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 13 2021 Blind motion deblurring using multiple images. Zbl 1167.94307 Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei 12 2009 Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness. Zbl 1375.42051 Han, Bin; Jiang, Qingtang; Shen, Zuowei; Zhuang, Xiaosheng 11 2018 Tight periodic wavelet frames and approximation orders. Zbl 1221.42063 Goh, Say Song; Han, Bin; Shen, Zuowei 11 2011 Wavelet frame based multiphase image segmentation. Zbl 1281.65042 Tai, Cheng; Zhang, Xiaoqun; Shen, Zuowei 10 2013 Wavelet frame based scene reconstruction from range data. Zbl 1185.65029 Ji, Hui; Shen, Zuowei; Xu, Yuhong 10 2010 Gramian analysis of affine bases and affine frames. Zbl 0927.42030 Ron, Amos; Shen, Zuowei 9 1995 The wavelet dimension function is the trace function of a shift-invariant system. Zbl 1019.42025 Ron, Amos; Shen, Zuowei 9 2003 Directional frames for image recovery: multi-scale discrete Gabor frames. Zbl 1380.42026 Ji, Hui; Shen, Zuowei; Zhao, Yufei 9 2017 Wavelet frame based surface reconstruction from unorganized points. Zbl 1239.94007 Dong, Bin; Shen, Zuowei 9 2011 A pair of orthogonal frames. Zbl 1116.42009 Kim, Hong Oh; Kim, Rae Young; Lim, Jae Kun; Shen, Zuowei 9 2007 Optimal approximation rate of ReLU networks in terms of width and depth. Zbl 1501.41010 Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 9 2022 Wavelet frame based algorithm for 3D reconstruction in electron microscopy. Zbl 1310.68215 Li, Ming; Fan, Zhitao; Ji, Hui; Shen, Zuowei 8 2014 Symmetric and antisymmetric tight wavelet frames. Zbl 1106.42027 Goh, Say Song; Lim, Zhi Yuan; Shen, Zuowei 8 2006 Tight wavelet frames in low dimensions with canonical filters. Zbl 1316.42037 Jiang, Qingtang; Shen, Zuowei 7 2015 Construction of Schauder decomposition on Banach spaces of periodic functions. Zbl 0891.41021 Goh, Say Song; Lee, S. L.; Shen, Zuowei; Tang, W. S. 7 1998 Multiscale representation of surfaces by tight wavelet frames with applications to denoising. Zbl 1346.42039 Dong, Bin; Jiang, Qingtang; Liu, Chaoqiang; Shen, Zuowei 7 2016 On B-spline framelets derived from the unitary extension principle. Zbl 1267.42036 Shen, Zuowei; Xu, Zhiqiang 7 2013 Examples of refinable componentwise polynomials. Zbl 1114.41005 Bi, Ning; Han, Bin; Shen, Zuowei 7 2007 Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction. Zbl 1025.65064 Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei 7 2003 Computing the Sobolev regularity of refinable functions by the Arnoldi method. Zbl 1009.42025 Ron, Amos; Shen, Zuowei; Toh, Kim-Chuan 6 2001 An analysis of wavelet frame based scattered data reconstruction. Zbl 1412.94261 Yang, Jianbin; Stahl, Dominik; Shen, Zuowei 6 2017 Wavelet based restoration of images with missing or damaged pixels. Zbl 1286.94017 Ji, Hui; Shen, Zuowei; Xu, Yuhong 6 2011 A new multiscale representation for shapes and its application to blood vessel recovery. Zbl 1221.92058 Dong, Bin; Chien, Aichi; Shen, Zuowei; Osher, Stanley 6 2010 Mathematics and computation in imaging science and information processing. Zbl 1131.68115 6 2007 Image restoration: a general wavelet frame based model and its asymptotic analysis. Zbl 1366.42035 Dong, Bin; Shen, Zuowei; Xie, Peichu 5 2017 General interpolation on the lattice \(h\mathbb{Z}^ s\): Compactly supported fundamental solutions. Zbl 0822.41029 Riemenschneider, Sherman D.; Shen, Zuowei 5 1995 Construction of compactly supported biorthogonal wavelets. Zbl 1061.42502 Riemenschneider, Sherman D.; Shen, Zuowei 5 1999 Dimension of kernels of linear operators. Zbl 0754.41015 Jia, Rong-Qing; Riemenschneider, Sherman; Shen, Zuowei 5 1992 Image deconvolution using a characterization of sharp images in wavelet domain. Zbl 1261.94011 Ji, Hui; Li, Jia; Shen, Zuowei; Wang, Kang 5 2012 Deep learning via dynamical systems: an approximation perspective. Zbl 1528.41106 Li, Qianxiao; Lin, Ting; Shen, Zuowei 3 2023 Optimal approximation rate of ReLU networks in terms of width and depth. Zbl 1501.41010 Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 9 2022 Deep network approximation for smooth functions. Zbl 07407717 Lu, Jianfeng; Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 38 2021 Deep network with approximation error being reciprocal of width to power of square root of depth. Zbl 1521.41007 Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 20 2021 Neural network approximation: three hidden layers are enough. Zbl 07743433 Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 13 2021 Approximation from noisy data. Zbl 1512.94016 Dong, Bin; Shen, Zuowei; Yang, Jianbin 1 2021 Deep network approximation characterized by number of neurons. Zbl 1507.68276 Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 26 2020 Phase retrieval: a data-driven wavelet frame based approach. Zbl 07242757 Pang, Tongyao; Li, Qingna; Wen, Zaiwen; Shen, Zuowei 3 2020 Nonlinear approximation via compositions. Zbl 1475.41013 Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 23 2019 Digital Gabor filters do generate MRA-based wavelet tight frames. Zbl 1416.42036 Ji, Hui; Shen, Zuowei; Zhao, Yufei 2 2019 Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness. Zbl 1375.42051 Han, Bin; Jiang, Qingtang; Shen, Zuowei; Zhuang, Xiaosheng 11 2018 Digital Gabor filters with MRA structure. Zbl 1391.94257 Ji, Hui; Shen, Zuowei; Zhao, Yufei 2 2018 B-spline tight frame based force matching method. Zbl 1422.65094 Yang, Jianbin; Zhu, Guanhua; Tong, Dudu; Lu, Lanyuan; Shen, Zuowei 1 2018 Image restoration: wavelet frame shrinkage, nonlinear evolution PDEs, and beyond. Zbl 1378.35159 Dong, Bin; Jiang, Qingtang; Shen, Zuowei 23 2017 Directional frames for image recovery: multi-scale discrete Gabor frames. Zbl 1380.42026 Ji, Hui; Shen, Zuowei; Zhao, Yufei 9 2017 An analysis of wavelet frame based scattered data reconstruction. Zbl 1412.94261 Yang, Jianbin; Stahl, Dominik; Shen, Zuowei 6 2017 Image restoration: a general wavelet frame based model and its asymptotic analysis. Zbl 1366.42035 Dong, Bin; Shen, Zuowei; Xie, Peichu 5 2017 Image restoration: a wavelet frame based model for piecewise smooth functions and beyond. Zbl 1339.65028 Cai, Jian-Feng; Dong, Bin; Shen, Zuowei 29 2016 Image restoration by minimizing zero norm of wavelet frame coefficients. Zbl 1409.94026 Bao, Chenglong; Dong, Bin; Hou, Likun; Shen, Zuowei; Zhang, Xiaoqun; Zhang, Xue 22 2016 Dual Gramian analysis: duality principle and unitary extension principle. Zbl 1326.42037 Fan, Zhitao; Ji, Hui; Shen, Zuowei 17 2016 Duality for frames. Zbl 1332.42024 Fan, Zhitao; Heinecke, Andreas; Shen, Zuowei 14 2016 Multiscale representation of surfaces by tight wavelet frames with applications to denoising. Zbl 1346.42039 Dong, Bin; Jiang, Qingtang; Liu, Chaoqiang; Shen, Zuowei 7 2016 Robust frame based X-ray CT reconstruction. Zbl 1374.92083 Li, Jia; Miao, Chuang; Shen, Zuowei; Wang, Ge; Yu, Hengyong 4 2016 Image recovery via geometrically structured approximation. Zbl 1382.94018 Ji, Hui; Luo, Yu; Shen, Zuowei 4 2016 A wavelet frame method with shape prior for ultrasound video segmentation. Zbl 1346.65008 Liu, Jiulong; Zhang, Xiaoqun; Dong, Bin; Shen, Zuowei; Gu, Lixu 1 2016 Convergence analysis for iterative data-driven tight frame construction scheme. Zbl 1361.94006 Bao, Chenglong; Ji, Hui; Shen, Zuowei 16 2015 Data-driven multi-scale non-local wavelet frame construction and image recovery. Zbl 1331.68273 Quan, Yuhui; Ji, Hui; Shen, Zuowei 15 2015 Tight wavelet frames in low dimensions with canonical filters. Zbl 1316.42037 Jiang, Qingtang; Shen, Zuowei 7 2015 A reweighted \(\ell^2\) method for image restoration with Poisson and mixed Poisson-Gaussian noise. Zbl 1333.65067 Li, Jia; Shen, Zuowei; Yin, Rujie; Zhang, Xiaoqun 4 2015 Data-driven tight frame construction and image denoising. Zbl 1336.94008 Cai, Jian-Feng; Ji, Hui; Shen, Zuowei; Ye, Gui-Bo 52 2014 Image restoration with mixed or unknown noises. Zbl 1380.94021 Gong, Zheng; Shen, Zuowei; Toh, Kim-Chuan 17 2014 Wavelet frame based algorithm for 3D reconstruction in electron microscopy. Zbl 1310.68215 Li, Ming; Fan, Zhitao; Ji, Hui; Shen, Zuowei 8 2014 MRA-based wavelet frames and applications. Zbl 1344.94009 Dong, Bin; Shen, Zuowei 37 2013 X-ray CT image reconstruction via wavelet frame based regularization and Radon domain inpainting. Zbl 1308.94015 Dong, Bin; Li, Jia; Shen, Zuowei 25 2013 Wavelet frame based multiphase image segmentation. Zbl 1281.65042 Tai, Cheng; Zhang, Xiaoqun; Shen, Zuowei 10 2013 On B-spline framelets derived from the unitary extension principle. Zbl 1267.42036 Shen, Zuowei; Xu, Zhiqiang 7 2013 Recovering over-/underexposed regions in photographs. Zbl 1279.68328 Hou, Likun; Ji, Hui; Shen, Zuowei 4 2013 Wavelet frame based color image demosaicing. Zbl 1296.68184 Liang, Jingwei; Li, Jia; Shen, Zuowei; Zhang, Xiaoqun 4 2013 Image restoration: total variation, wavelet frames, and beyond. Zbl 1277.35019 Cai, Jian-Feng; Dong, Bin; Osher, Stanley; Shen, Zuowei 103 2012 Wavelet frame based blind image inpainting. Zbl 1261.94006 Dong, Bin; Ji, Hui; Li, Jia; Shen, Zuowei; Xu, Yuhong 49 2012 Framelet-based blind motion deblurring from a single image. Zbl 1372.94029 Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei 29 2012 Image deconvolution using a characterization of sharp images in wavelet domain. Zbl 1261.94011 Ji, Hui; Li, Jia; Shen, Zuowei; Wang, Kang 5 2012 Surveillance video processing using compressive sensing. Zbl 1242.94004 Jiang, Hong; Deng, Wei; Shen, Zuowei 3 2012 Wavelet frames and image restorations. Zbl 1228.42036 Shen, Zuowei 62 2011 Robust video restoration by joint sparse and low rank matrix approximation. Zbl 1234.68451 Ji, Hui; Huang, Sibin; Shen, Zuowei; Xu, Yuhong 18 2011 An accelerated proximal gradient algorithm for frame-based image restoration via the balanced approach. Zbl 1219.94012 Shen, Zuowei; Toh, Kim-Chuan; Yun, Sangwoon 18 2011 Adaptive multiresolution analysis structures and shearlet systems. Zbl 1283.42053 Han, Bin; Kutyniok, Gitta; Shen, Zuowei 17 2011 Frame based segmentation for medical images. Zbl 1232.42032 Dong, Bin; Chien, Aichi; Shen, Zuowei 17 2011 Tight periodic wavelet frames and approximation orders. Zbl 1221.42063 Goh, Say Song; Han, Bin; Shen, Zuowei 11 2011 Wavelet frame based surface reconstruction from unorganized points. Zbl 1239.94007 Dong, Bin; Shen, Zuowei 9 2011 Wavelet based restoration of images with missing or damaged pixels. Zbl 1286.94017 Ji, Hui; Shen, Zuowei; Xu, Yuhong 6 2011 Approximation of frame based missing data recovery. Zbl 1220.94005 Cai, Jian-Feng; Shen, Zuowei; Ye, Gui-Bo 4 2011 Small support spline Riesz wavelets in low dimensions. Zbl 1225.42024 Han, Bin; Mo, Qun; Shen, Zuowei 2 2011 A singular value thresholding algorithm for matrix completion. Zbl 1201.90155 Cai, Jian-Feng; Candès, Emmanuel J.; Shen, Zuowei 504 2010 Split Bregman methods and frame based image restoration. Zbl 1189.94014 Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 196 2010 Simultaneous cartoon and texture inpainting. Zbl 1198.94021 Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei 38 2010 Framelet based deconvolution. Zbl 1224.65316 Cai, Jianfeng; Shen, Zuowei 17 2010 Wavelet frame based scene reconstruction from range data. Zbl 1185.65029 Ji, Hui; Shen, Zuowei; Xu, Yuhong 10 2010 A new multiscale representation for shapes and its application to blood vessel recovery. Zbl 1221.92058 Dong, Bin; Chien, Aichi; Shen, Zuowei; Osher, Stanley 6 2010 Tight frame based method for high-resolution image reconstruction. Zbl 1216.94008 Cai, Jianfeng; Chan, Raymond; Shen, Lixin; Shen, Zuowei 2 2010 Inpainting for compressed images. Zbl 1197.94007 Cai, Jian-Feng; Ji, Hui; Shang, Fuchun; Shen, Zuowei 1 2010 Linearized Bregman iterations for compressed sensing. Zbl 1198.65102 Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 84 2009 Linearized Bregman iterations for frame-based image deblurring. Zbl 1175.94010 Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 73 2009 Dual wavelet frames and Riesz bases in Sobolev spaces. Zbl 1161.42018 Han, Bin; Shen, Zuowei 54 2009 Convergence of the linearized Bregman iteration for \(\ell _1\)-norm minimization. Zbl 1198.65103 Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 54 2009 Convergence analysis of tight framelet approach for missing data recovery. Zbl 1172.94309 Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei 43 2009 Simultaneously inpainting in image and transformed domains. Zbl 1168.94312 Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei 17 2009 Characterization of Sobolev spaces of arbitrary smoothness using nonstationary tight wavelet frames. Zbl 1180.42004 Han, Bin; Shen, Zuowei 17 2009 Scattered data reconstruction by regularization in B-spline and associated wavelet spaces. Zbl 1181.41013 Johnson, Michael J.; Shen, Zuowei; Xu, Yuhong 13 2009 Blind motion deblurring using multiple images. Zbl 1167.94307 Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei 12 2009 Componentwise polynomial solutions and distribution solutions of refinement equations. Zbl 1176.41014 Bi, Ning; Han, Bin; Shen, Zuowei 4 2009 A framelet-based image inpainting algorithm. Zbl 1135.68056 Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei 114 2008 Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003 Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei 49 2008 Restoration of chopped and nodded images by framelets. Zbl 1161.94303 Cai, Jian-Feng; Chan, Raymond; Shen, Lixin; Shen, Zuowei 29 2008 Compactly supported symmetric \(C^\infty\) wavelets with spectral approximation order. Zbl 1161.42312 Han, Bin; Shen, Zuowei 20 2008 Pseudo-splines, wavelets and framelets. Zbl 1282.42035 Dong, Bin; Shen, Zuowei 63 2007 Deconvolution: a wavelet frame approach. Zbl 1120.65134 Chai, Anwei; Shen, Zuowei 37 2007 Wavelets with short support. Zbl 1119.42016 Han, Bin; Shen, Zuowei 34 2007 A framelet algorithm for enhancing video stills. Zbl 1122.68148 Chan, Raymond H.; Shen, Zuowei; Xia, Tao 17 2007 A pair of orthogonal frames. Zbl 1116.42009 Kim, Hong Oh; Kim, Rae Young; Lim, Jae Kun; Shen, Zuowei 9 2007 Examples of refinable componentwise polynomials. Zbl 1114.41005 Bi, Ning; Han, Bin; Shen, Zuowei 7 2007 Mathematics and computation in imaging science and information processing. Zbl 1131.68115 6 2007 Gabor and wavelet frames. Zbl 1125.42002 1 2007 Linear independence of pseudo-splines. Zbl 1100.42025 Dong, Bin; Shen, Zuowei 17 2006 Construction of biorthogonal wavelets from pseudo-splines. Zbl 1083.42028 Dong, Bin; Shen, Zuowei 14 2006 Symmetric and antisymmetric tight wavelet frames. Zbl 1106.42027 Goh, Say Song; Lim, Zhi Yuan; Shen, Zuowei 8 2006 Compression with time-frequency localization filters. Zbl 1099.65153 Shen, Lixin; Shen, Zuowei 3 2006 Generalized shift-invariant systems. Zbl 1080.42025 Ron, Amos; Shen, Zuowei 47 2005 Wavelets from the loop scheme. Zbl 1129.42434 Han, Bin; Shen, Zuowei 18 2005 Tight frame: an efficient way for high-resolution image reconstruction. Zbl 1046.42026 Chan, Raymond H.; Riemenschneider, Sherman D.; Shen, Lixin; Shen, Zuowei 69 2004 Multidimensional smoothing using hyperbolic interpolatory wavelets. Zbl 1065.65007 Hegland, Markus; Nielsen, Ole M.; Shen, Zuowei 2 2004 Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031 Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei 326 2003 Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127 Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei 68 2003 The wavelet dimension function is the trace function of a shift-invariant system. Zbl 1019.42025 Ron, Amos; Shen, Zuowei 9 2003 Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction. Zbl 1025.65064 Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei 7 2003 Convergence of cascade algorithms associated with nonhomogeneous refinement equations. Zbl 0956.42025 Jia, Rong-Qing; Jiang, Qingtang; Shen, Zuowei 19 2001 Computing the Sobolev regularity of refinable functions by the Arnoldi method. Zbl 1009.42025 Ron, Amos; Shen, Zuowei; Toh, Kim-Chuan 6 2001 Riesz bases in subspaces of \(L_2 (\mathbb{R}_+)\). Zbl 0997.46024 Goodman, T. N. T.; Micchelli, C. A.; Shen, Zuowei 3 2001 The Sobolev regularity of refinable functions. Zbl 0966.42026 Ron, Amos; Shen, Zuowei 23 2000 Distributional solutions of nonhomogeneous discrete and continuous refinement equations. Zbl 0980.42035 Jia, Rong-Qing; Jiang, Qingtang; Shen, Zuowei 19 2000 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,829 Authors 76 Shen, Zuowei 45 Han, Bin 40 Christensen, Ole 31 Huang, Ting-Zhu 29 Li, Song 28 Li, Yunzhang 26 Dong, Bin 26 Jiang, Qingtang 26 Kim, Hong Oh 25 Zeng, Tie Yong 24 Ji, Hui 23 Kim, Rae Young 22 Jia, Rong-Qing 22 Shen, Lixin 21 Ng, Michael Kwok-Po 20 Bownik, Marcin 20 Cai, Jian-Feng 20 Conti, Costanza 20 Zhuang, Xiaosheng 19 Xu, Yuesheng 19 Yang, Shouzhi 19 Zhao, Xile 18 Charina, Maria 18 Chui, Charles Kam-tai 18 Goh, Say Song 18 Shah, Firdous Ahmad 17 Han, Deguang 17 Zhang, Xiaoqun 16 Chen, Qingjiang 16 Osher, Stanley Joel 16 Sun, Qiyu 16 Sun, Wenchang 15 Lim, Jae Kun 15 Romani, Lucia 15 Stöckler, Joachim 14 Chan, Raymond Hon-Fu 13 Gröchenig, Karlheinz 13 Li, Youfa 13 Shen, Yi 12 Donatelli, Marco 12 Lee, Seng Luan 12 Li, Fang 12 Ma, Tian-Hui 12 Ron, Amos 12 San Antolín, Angel 12 Yang, Haizhao 12 Yang, Jianbin 11 Buccini, Alessandro 11 Cabrelli, Carlos A. 11 Cui, Lihong 11 Lemvig, Jakob 11 Lu, Jian 11 Lv, Xiaoguang 11 Wu, Chunlin 10 Bhat, Mohammad Younus 10 Cheng, Zhengxing 10 Jiao, Yuling 10 Krivoshein, Aleksandr Vladimirovich 10 Kutyniok, Gitta 10 Paternostro, Victoria 9 Ahmad, Owais 9 Cheng, Lizhi 9 Dyn, Nira 9 Feichtinger, Hans Georg 9 Gabardo, Jean-Pierre 9 Goodman, Timothy N. T. 9 Luef, Franz 9 Wei, Ke 9 Wen, Zaiwen 9 Zhang, Jianping 9 Zhou, Dingxuan 8 Bao, Chenglong 8 Chen, Dirong 8 Fan, Qibin 8 He, Wenjie 8 Jakobsen, Mads Sielemann 8 Ji, Teng-Yu 8 Kamyabi-Gol, Rajab Ali 8 Li, Jia 8 Mo, Qun 8 Nielsen, Morten 8 Pang, Zhifeng 8 Plonka, Gerlind 8 Reichel, Lothar 8 Schönlieb, Carola-Bibiane 8 Yin, Wotao 7 Burger, Martin 7 Casazza, Peter George 7 Deng, Liangjian 7 García, Antonio G. 7 Jia, HuiFang 7 Karoui, Abderrazek 7 Labate, Demetrio 7 Lai, Mingjun 7 Li, Chao 7 Lu, Xiliang 7 Ni, Guoxi 7 Sheikh, Neyaz Ahmad 7 Skopina, Maria A. 7 Wang, Chuanlong ...and 2,729 more Authors all top 5 Cited in 304 Serials 206 Applied and Computational Harmonic Analysis 71 Journal of Computational and Applied Mathematics 69 International Journal of Wavelets, Multiresolution and Information Processing 61 Journal of Approximation Theory 60 The Journal of Fourier Analysis and Applications 59 Journal of Scientific Computing 59 SIAM Journal on Imaging Sciences 54 Applied Mathematics and Computation 53 Advances in Computational Mathematics 44 Journal of Mathematical Analysis and Applications 41 Inverse Problems and Imaging 34 Inverse Problems 33 Information Sciences 30 Mathematics of Computation 27 Proceedings of the American Mathematical Society 26 Linear Algebra and its Applications 26 Mathematical Problems in Engineering 25 Journal of Inequalities and Applications 23 Journal of Mathematical Imaging and Vision 22 Journal of Computational Physics 21 Neural Networks 20 Journal of Functional Analysis 20 Computational Optimization and Applications 20 SIAM Journal on Scientific Computing 19 Numerical Algorithms 19 Science China. 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Electronic Transactions on Numerical Analysis 7 Optimization Methods & Software 7 Journal of Industrial and Management Optimization 7 East Asian Journal on Applied Mathematics 6 The Annals of Statistics 6 Journal of Optimization Theory and Applications 6 SIAM Journal on Matrix Analysis and Applications 6 Journal of Applied Mathematics and Computing 6 Complex Analysis and Operator Theory 6 SIAM Journal on Mathematics of Data Science 5 Journal of the Franklin Institute 5 Mathematische Nachrichten 5 SIAM Journal on Numerical Analysis 5 Neural Computation 5 Journal of Mathematical Sciences (New York) 5 Journal of Inverse and Ill-Posed Problems 5 Journal of Applied Mathematics 5 Multiscale Modeling & Simulation 5 Acta Numerica 4 Bulletin of the Australian Mathematical Society 4 Mathematical Methods in the Applied Sciences 4 Journal of the American Statistical Association 4 Results in Mathematics 4 Science in China. Series A 4 Signal Processing 4 St. Petersburg Mathematical Journal 4 Data Mining and Knowledge Discovery 4 Frontiers of Mathematics in China 4 Optimization Letters 4 Banach Journal of Mathematical Analysis 4 Algorithms 4 Mathematical Programming Computation 4 Research in the Mathematical Sciences 3 Journal of Mathematical Physics 3 Linear and Multilinear Algebra 3 Rocky Mountain Journal of Mathematics 3 ACM Transactions on Mathematical Software 3 Advances in Mathematics ...and 204 more Serials all top 5 Cited in 54 Fields 916 Harmonic analysis on Euclidean spaces (42-XX) 812 Numerical analysis (65-XX) 544 Information and communication theory, circuits (94-XX) 367 Computer science (68-XX) 367 Operations research, mathematical programming (90-XX) 269 Approximations and expansions (41-XX) 181 Statistics (62-XX) 177 Linear and multilinear algebra; matrix theory (15-XX) 126 Functional analysis (46-XX) 92 Operator theory (47-XX) 85 Calculus of variations and optimal control; optimization (49-XX) 75 Abstract harmonic analysis (43-XX) 60 Partial differential equations (35-XX) 59 Biology and other natural sciences (92-XX) 31 Number theory (11-XX) 27 Difference and functional equations (39-XX) 27 Probability theory and stochastic processes (60-XX) 21 Systems theory; control (93-XX) 20 Topological groups, Lie groups (22-XX) 18 Combinatorics (05-XX) 14 Integral equations (45-XX) 12 Real functions (26-XX) 12 Integral transforms, operational calculus (44-XX) 11 Functions of a complex variable (30-XX) 11 Quantum theory (81-XX) 10 Convex and discrete geometry (52-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Special functions (33-XX) 7 Differential geometry (53-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Commutative algebra (13-XX) 6 Algebraic geometry (14-XX) 6 Measure and integration (28-XX) 6 Fluid mechanics (76-XX) 6 Geophysics (86-XX) 5 Ordinary differential equations (34-XX) 5 Mechanics of deformable solids (74-XX) 5 Optics, electromagnetic theory (78-XX) 4 Sequences, series, summability (40-XX) 3 Potential theory (31-XX) 3 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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