Edit Profile (opens in new tab) Shen, Zuowei Compute Distance To: Compute 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: 132 Publications since 1990 2 Contributions as Editor Co-Authors: 85 Co-Authors with 129 Joint Publications 2,693 Co-Co-Authors all top 5 Co-Authors 5 single-authored 22 Ji, Hui 19 Cai, Jian-Feng 17 Dong, Bin 15 Ron, Amos 12 Han, Bin 12 Riemenschneider, Sherman D. 10 Chan, Raymond Hon-Fu 8 Shen, Lixin 7 Goh, Say Song 7 Jiang, Qingtang 6 Jia, Rong-Qing 6 Li, Jia 6 Osher, Stanley Joel 5 Xu, Yuhong 5 Yang, Haizhao 5 Zhang, Shijun 5 Zhang, Xiaoqun 4 Lawton, Wayne M. 4 Zhao, Yufei 3 Bao, Chenglong 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 Tang, Wai-Shing 2 Ye, Gui-Bo 1 Barbastathis, George 1 Candès, Emmanuel J. 1 Chai, Anwei 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 Kutyniok, Gitta 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 Pang, Tongyao 1 Quan, Yuhui 1 Sabin, Malcolm A. 1 Shang, Fuchun 1 Stahl, Dominik 1 Tai, Cheng 1 Tong, Dudu 1 Wang, Ge 1 Wang, Kang 1 Wen, Zaiwen 1 Xia, Tao 1 Xie, Peichu 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 The Journal of Fourier Analysis and Applications 5 Multiscale Modeling & Simulation 4 Journal of Computational Physics 4 Numerische Mathematik 4 Constructive Approximation 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 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 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 Networks 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 IEEE Transactions on Image Processing 1 Communications in Mathematical Sciences 1 Communications in Computational Physics 1 East Asian Journal on Applied Mathematics all top 5 Fields 74 Harmonic analysis on Euclidean spaces (42-XX) 58 Numerical analysis (65-XX) 50 Information and communication theory, circuits (94-XX) 39 Approximations and expansions (41-XX) 22 Computer science (68-XX) 11 Operations research, mathematical programming (90-XX) 7 Functional analysis (46-XX) 6 Operator theory (47-XX) 6 Biology and other natural sciences (92-XX) 5 Partial differential equations (35-XX) 3 Integral equations (45-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-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 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 125 Publications have been cited 4,020 times in 1,878 Documents Cited by ▼ Year ▼ A singular value thresholding algorithm for matrix completion. Zbl 1201.90155Cai, Jian-Feng; Candès, Emmanuel J.; Shen, Zuowei 435 2010 Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator. Zbl 0891.42018Ron, Amos; Shen, Zuowei 341 1997 Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei 313 2003 Split Bregman methods and frame based image restoration. Zbl 1189.94014Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 183 2010 Frames and stable bases for shift-invariant subspaces of \(L_ 2(\mathbb{R}^ d)\). Zbl 0838.42016Ron, Amos; Shen, Zuowei 174 1995 Weyl-Heisenberg frames and Riesz bases in \(L_2(\mathbb{R}^d)\). Zbl 0892.42017Ron, Amos; Shen, Zuowei 127 1997 A framelet-based image inpainting algorithm. Zbl 1135.68056Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei 111 2008 Image restoration: total variation, wavelet frames, and beyond. Zbl 1277.35019Cai, Jian-Feng; Dong, Bin; Osher, Stanley; Shen, Zuowei 90 2012 Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems. Zbl 0904.42025Ron, Amos; Shen, Zuowei 85 1997 Linearized Bregman iterations for compressed sensing. Zbl 1198.65102Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 76 2009 Refinable function vectors. Zbl 0913.42028Shen, Zuowei 73 1998 Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei 67 2003 Linearized Bregman iterations for frame-based image deblurring. Zbl 1175.94010Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 67 2009 Tight frame: an efficient way for high-resolution image reconstruction. Zbl 1046.42026Chan, Raymond H.; Riemenschneider, Sherman D.; Shen, Lixin; Shen, Zuowei 66 2004 Wavelet frames and image restorations. Zbl 1228.42036Shen, Zuowei 61 2011 Pseudo-splines, wavelets and framelets. Zbl 1282.42035Dong, Bin; Shen, Zuowei 60 2007 Multiresolution and wavelets. Zbl 0809.42018Jia, Rong-Qing; Shen, Zuowei 55 1994 Compactly supported tight affine spline frames in \(L_{2}(\mathbb{R}^{d})\). Zbl 0892.42018Ron, Amos; Shen, Zuowei 51 1998 Convergence of the linearized Bregman iteration for \(\ell _1\)-norm minimization. Zbl 1198.65103Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 51 2009 Dual wavelet frames and Riesz bases in Sobolev spaces. Zbl 1161.42018Han, Bin; Shen, Zuowei 51 2009 Data-driven tight frame construction and image denoising. Zbl 1336.94008Cai, Jian-Feng; Ji, Hui; Shen, Zuowei; Ye, Gui-Bo 49 2014 Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei 48 2008 Generalized shift-invariant systems. Zbl 1080.42025Ron, Amos; Shen, Zuowei 47 2005 Wavelets and pre-wavelets in low dimensions. Zbl 0772.41019Riemenschneider, Sherman D.; Shen, Zuowei 45 1992 An algorithm for matrix extension and wavelet construction. Zbl 0842.41011Lawton, W.; Lee, S. L.; Shen, Zuowei 44 1996 Wavelet frame based blind image inpainting. Zbl 1261.94006Dong, Bin; Ji, Hui; Li, Jia; Shen, Zuowei; Xu, Yuhong 42 2012 Convergence analysis of tight framelet approach for missing data recovery. Zbl 1172.94309Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei 40 2009 Stability and orthonormality of multivariate refinable functions. Zbl 0872.41003Lawton, W.; Lee, S. L.; Shen, Zuowei 39 1997 Deconvolution: a wavelet frame approach. Zbl 1120.65134Chai, Anwei; Shen, Zuowei 37 2007 Simultaneous cartoon and texture inpainting. Zbl 1198.94021Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei 36 2010 Nontensor product wavelet packets in \(L_ 2 (\mathbb{R}^ s)\). Zbl 0826.42025Shen, Zuowei 35 1995 Wavelets with short support. Zbl 1119.42016Han, Bin; Shen, Zuowei 34 2007 Multivariate compactly supported fundamental refinable functions, duals, and biorthogonal wavelets. Zbl 1005.42019Ji, Hui; Riemenschneider, Sherman D.; Shen, Zuowei 32 1999 On existence and weak stability of matrix refinable functions. Zbl 0932.42028Jiang, Qingtang; Shen, Zuowei 30 1999 Characterization of compactly supported refinable splines. Zbl 0828.41006Lawton, Wayne; Lee, S. L.; Shen, Zuowei 30 1995 Multidimensional interpolatory subdivision schemes. Zbl 0889.65005Riemenschneider, Sherman D.; Shen, Zuowei 29 1997 Restoration of chopped and nodded images by framelets. Zbl 1161.94303Cai, Jian-Feng; Chan, Raymond; Shen, Lixin; Shen, Zuowei 29 2008 MRA-based wavelet frames and applications. Zbl 1344.94009Dong, Bin; Shen, Zuowei 27 2013 Framelet-based blind motion deblurring from a single image. Zbl 1372.94029Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei 27 2012 Convergence of multidimensional cascade algorithm. Zbl 0890.41005Lawton, W.; Lee, S. L.; Shen, Zuowei 26 1998 Image restoration: a wavelet frame based model for piecewise smooth functions and beyond. Zbl 1339.65028Cai, Jian-Feng; Dong, Bin; Shen, Zuowei 25 2016 X-ray CT image reconstruction via wavelet frame based regularization and Radon domain inpainting. Zbl 1308.94015Dong, Bin; Li, Jia; Shen, Zuowei 25 2013 The Sobolev regularity of refinable functions. Zbl 0966.42026Ron, Amos; Shen, Zuowei 23 2000 Image restoration by minimizing zero norm of wavelet frame coefficients. Zbl 1409.94026Bao, Chenglong; Dong, Bin; Hou, Likun; Shen, Zuowei; Zhang, Xiaoqun; Zhang, Xue 20 2016 Image restoration: wavelet frame shrinkage, nonlinear evolution PDEs, and beyond. Zbl 1378.35159Dong, Bin; Jiang, Qingtang; Shen, Zuowei 20 2017 Distributional solutions of nonhomogeneous discrete and continuous refinement equations. Zbl 0980.42035Jia, Rong-Qing; Jiang, Qingtang; Shen, Zuowei 19 2000 Compactly supported symmetric \(C^\infty\) wavelets with spectral approximation order. Zbl 1161.42312Han, Bin; Shen, Zuowei 19 2008 An accelerated proximal gradient algorithm for frame-based image restoration via the balanced approach. Zbl 1219.94012Shen, Zuowei; Toh, Kim-Chuan; Yun, Sangwoon 18 2011 Robust video restoration by joint sparse and low rank matrix approximation. Zbl 1234.68451Ji, Hui; Huang, Sibin; Shen, Zuowei; Xu, Yuhong 18 2011 Convergence of cascade algorithms associated with nonhomogeneous refinement equations. Zbl 0956.42025Jia, Rong-Qing; Jiang, Qingtang; Shen, Zuowei 18 2001 Wavelets from the loop scheme. Zbl 1129.42434Han, Bin; Shen, Zuowei 18 2005 Adaptive multiresolution analysis structures and shearlet systems. Zbl 1283.42053Han, Bin; Kutyniok, Gitta; Shen, Zuowei 17 2011 Frame based segmentation for medical images. Zbl 1232.42032Dong, Bin; Chien, Aichi; Shen, Zuowei 17 2011 Framelet based deconvolution. Zbl 1224.65316Cai, Jianfeng; Shen, Zuowei 17 2010 A framelet algorithm for enhancing video stills. Zbl 1122.68148Chan, Raymond H.; Shen, Zuowei; Xia, Tao 17 2007 Compactly supported (bi)orthogonal wavelets generated by interpolatory refinable functions. Zbl 0937.65145Ji, Hui; Shen, Zuowei 16 1999 Simultaneously inpainting in image and transformed domains. Zbl 1168.94312Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei 16 2009 Characterization of Sobolev spaces of arbitrary smoothness using nonstationary tight wavelet frames. Zbl 1180.42004Han, Bin; Shen, Zuowei 16 2009 Dual Gramian analysis: duality principle and unitary extension principle. Zbl 1326.42037Fan, Zhitao; Ji, Hui; Shen, Zuowei 16 2016 Convergence analysis for iterative data-driven tight frame construction scheme. Zbl 1361.94006Bao, Chenglong; Ji, Hui; Shen, Zuowei 16 2015 Linear independence of pseudo-splines. Zbl 1100.42025Dong, Bin; Shen, Zuowei 16 2006 Construction of biorthogonal wavelets from pseudo-splines. Zbl 1083.42028Dong, Bin; Shen, Zuowei 14 2006 Duality for frames. Zbl 1332.42024Fan, Zhitao; Heinecke, Andreas; Shen, Zuowei 14 2016 Deep network approximation for smooth functions. Zbl 07407717Lu, Jianfeng; Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 13 2021 Nonlinear approximation via compositions. Zbl 1475.41013Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 13 2019 Scattered data reconstruction by regularization in B-spline and associated wavelet spaces. Zbl 1181.41013Johnson, Michael J.; Shen, Zuowei; Xu, Yuhong 13 2009 Data-driven multi-scale non-local wavelet frame construction and image recovery. Zbl 1331.68273Quan, Yuhui; Ji, Hui; Shen, Zuowei 13 2015 Image restoration with mixed or unknown noises. Zbl 1380.94021Gong, Zheng; Shen, Zuowei; Toh, Kim-Chuan 13 2014 Blind motion deblurring using multiple images. Zbl 1167.94307Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei 12 2009 Tight periodic wavelet frames and approximation orders. Zbl 1221.42063Goh, Say Song; Han, Bin; Shen, Zuowei 11 2011 Wavelet frame based scene reconstruction from range data. Zbl 1185.65029Ji, Hui; Shen, Zuowei; Xu, Yuhong 10 2010 Wavelet frame based multiphase image segmentation. Zbl 1281.65042Tai, Cheng; Zhang, Xiaoqun; Shen, Zuowei 10 2013 Deep network approximation characterized by number of neurons. Zbl 07419151Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 9 2020 The wavelet dimension function is the trace function of a shift-invariant system. Zbl 1019.42025Ron, Amos; Shen, Zuowei 9 2003 Wavelet frame based surface reconstruction from unorganized points. Zbl 1239.94007Dong, Bin; Shen, Zuowei 9 2011 Deep network with approximation error being reciprocal of width to power of square root of depth. Zbl 07377023Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 9 2021 A pair of orthogonal frames. Zbl 1116.42009Kim, Hong Oh; Kim, Rae Young; Lim, Jae Kun; Shen, Zuowei 9 2007 Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness. Zbl 1375.42051Han, Bin; Jiang, Qingtang; Shen, Zuowei; Zhuang, Xiaosheng 9 2018 Gramian analysis of affine bases and affine frames. Zbl 0927.42030Ron, Amos; Shen, Zuowei 8 1995 Wavelet frame based algorithm for 3D reconstruction in electron microscopy. Zbl 1310.68215Li, Ming; Fan, Zhitao; Ji, Hui; Shen, Zuowei 8 2014 Symmetric and antisymmetric tight wavelet frames. Zbl 1106.42027Goh, Say Song; Lim, Zhi Yuan; Shen, Zuowei 8 2006 Directional frames for image recovery: multi-scale discrete Gabor frames. Zbl 1380.42026Ji, Hui; Shen, Zuowei; Zhao, Yufei 8 2017 Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction. Zbl 1025.65064Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei 7 2003 Examples of refinable componentwise polynomials. Zbl 1114.41005Bi, Ning; Han, Bin; Shen, Zuowei 7 2007 Multiscale representation of surfaces by tight wavelet frames with applications to denoising. Zbl 1346.42039Dong, Bin; Jiang, Qingtang; Liu, Chaoqiang; Shen, Zuowei 6 2016 A new multiscale representation for shapes and its application to blood vessel recovery. Zbl 1221.92058Dong, Bin; Chien, Aichi; Shen, Zuowei; Osher, Stanley 6 2010 Construction of Schauder decomposition on Banach spaces of periodic functions. Zbl 0891.41021Goh, Say Song; Lee, S. L.; Shen, Zuowei; Tang, W. S. 6 1998 Computing the Sobolev regularity of refinable functions by the Arnoldi method. Zbl 1009.42025Ron, Amos; Shen, Zuowei; Toh, Kim-Chuan 6 2001 On B-spline framelets derived from the unitary extension principle. Zbl 1267.42036Shen, Zuowei; Xu, Zhiqiang 6 2013 An analysis of wavelet frame based scattered data reconstruction. Zbl 1412.94261Yang, Jianbin; Stahl, Dominik; Shen, Zuowei 6 2017 Dimension of kernels of linear operators. Zbl 0754.41015Jia, Rong-Qing; Riemenschneider, Sherman; Shen, Zuowei 5 1992 Tight wavelet frames in low dimensions with canonical filters. Zbl 1316.42037Jiang, Qingtang; Shen, Zuowei 5 2015 Image restoration: a general wavelet frame based model and its asymptotic analysis. Zbl 1366.42035Dong, Bin; Shen, Zuowei; Xie, Peichu 5 2017 General interpolation on the lattice \(h\mathbb{Z}^ s\): Compactly supported fundamental solutions. Zbl 0822.41029Riemenschneider, Sherman D.; Shen, Zuowei 4 1995 Degenerate kernel schemes by wavelets for nonlinear integral equations on the real line. Zbl 0853.65142Shen, Zuowei; Xu, Yuesheng 4 1995 Componentwise polynomial solutions and distribution solutions of refinement equations. Zbl 1176.41014Bi, Ning; Han, Bin; Shen, Zuowei 4 2009 Wavelet based restoration of images with missing or damaged pixels. Zbl 1286.94017Ji, Hui; Shen, Zuowei; Xu, Yuhong 4 2011 On ascertaining inductively the dimension of the joint kernel of certain commuting linear operators. Zbl 0999.47001de Boor, Carl; Ron, Amos; Shen, Zuowei 4 1996 Image deconvolution using a characterization of sharp images in wavelet domain. Zbl 1261.94011Ji, Hui; Li, Jia; Shen, Zuowei; Wang, Kang 4 2012 Recovering over-/underexposed regions in photographs. Zbl 1279.68328Hou, Likun; Ji, Hui; Shen, Zuowei 4 2013 Optimal approximation rate of ReLU networks in terms of width and depth. Zbl 1501.41010Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 2 2022 Deep network approximation for smooth functions. Zbl 07407717Lu, Jianfeng; Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 13 2021 Deep network with approximation error being reciprocal of width to power of square root of depth. Zbl 07377023Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 9 2021 Deep network approximation characterized by number of neurons. Zbl 07419151Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 9 2020 Phase retrieval: a data-driven wavelet frame based approach. Zbl 07242757Pang, Tongyao; Li, Qingna; Wen, Zaiwen; Shen, Zuowei 2 2020 Nonlinear approximation via compositions. Zbl 1475.41013Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 13 2019 Digital Gabor filters do generate MRA-based wavelet tight frames. Zbl 1416.42036Ji, Hui; Shen, Zuowei; Zhao, Yufei 1 2019 Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness. Zbl 1375.42051Han, Bin; Jiang, Qingtang; Shen, Zuowei; Zhuang, Xiaosheng 9 2018 Digital Gabor filters with MRA structure. Zbl 1391.94257Ji, Hui; Shen, Zuowei; Zhao, Yufei 1 2018 B-spline tight frame based force matching method. Zbl 1422.65094Yang, Jianbin; Zhu, Guanhua; Tong, Dudu; Lu, Lanyuan; Shen, Zuowei 1 2018 Image restoration: wavelet frame shrinkage, nonlinear evolution PDEs, and beyond. Zbl 1378.35159Dong, Bin; Jiang, Qingtang; Shen, Zuowei 20 2017 Directional frames for image recovery: multi-scale discrete Gabor frames. Zbl 1380.42026Ji, Hui; Shen, Zuowei; Zhao, Yufei 8 2017 An analysis of wavelet frame based scattered data reconstruction. Zbl 1412.94261Yang, Jianbin; Stahl, Dominik; Shen, Zuowei 6 2017 Image restoration: a general wavelet frame based model and its asymptotic analysis. Zbl 1366.42035Dong, Bin; Shen, Zuowei; Xie, Peichu 5 2017 Image restoration: a wavelet frame based model for piecewise smooth functions and beyond. Zbl 1339.65028Cai, Jian-Feng; Dong, Bin; Shen, Zuowei 25 2016 Image restoration by minimizing zero norm of wavelet frame coefficients. Zbl 1409.94026Bao, Chenglong; Dong, Bin; Hou, Likun; Shen, Zuowei; Zhang, Xiaoqun; Zhang, Xue 20 2016 Dual Gramian analysis: duality principle and unitary extension principle. Zbl 1326.42037Fan, Zhitao; Ji, Hui; Shen, Zuowei 16 2016 Duality for frames. Zbl 1332.42024Fan, Zhitao; Heinecke, Andreas; Shen, Zuowei 14 2016 Multiscale representation of surfaces by tight wavelet frames with applications to denoising. Zbl 1346.42039Dong, Bin; Jiang, Qingtang; Liu, Chaoqiang; Shen, Zuowei 6 2016 Robust frame based X-ray CT reconstruction. Zbl 1374.92083Li, Jia; Miao, Chuang; Shen, Zuowei; Wang, Ge; Yu, Hengyong 4 2016 Image recovery via geometrically structured approximation. Zbl 1382.94018Ji, Hui; Luo, Yu; Shen, Zuowei 3 2016 Convergence analysis for iterative data-driven tight frame construction scheme. Zbl 1361.94006Bao, Chenglong; Ji, Hui; Shen, Zuowei 16 2015 Data-driven multi-scale non-local wavelet frame construction and image recovery. Zbl 1331.68273Quan, Yuhui; Ji, Hui; Shen, Zuowei 13 2015 Tight wavelet frames in low dimensions with canonical filters. Zbl 1316.42037Jiang, Qingtang; Shen, Zuowei 5 2015 A reweighted \(\ell^2\) method for image restoration with Poisson and mixed Poisson-Gaussian noise. Zbl 1333.65067Li, Jia; Shen, Zuowei; Yin, Rujie; Zhang, Xiaoqun 3 2015 Data-driven tight frame construction and image denoising. Zbl 1336.94008Cai, Jian-Feng; Ji, Hui; Shen, Zuowei; Ye, Gui-Bo 49 2014 Image restoration with mixed or unknown noises. Zbl 1380.94021Gong, Zheng; Shen, Zuowei; Toh, Kim-Chuan 13 2014 Wavelet frame based algorithm for 3D reconstruction in electron microscopy. Zbl 1310.68215Li, Ming; Fan, Zhitao; Ji, Hui; Shen, Zuowei 8 2014 MRA-based wavelet frames and applications. Zbl 1344.94009Dong, Bin; Shen, Zuowei 27 2013 X-ray CT image reconstruction via wavelet frame based regularization and Radon domain inpainting. Zbl 1308.94015Dong, Bin; Li, Jia; Shen, Zuowei 25 2013 Wavelet frame based multiphase image segmentation. Zbl 1281.65042Tai, Cheng; Zhang, Xiaoqun; Shen, Zuowei 10 2013 On B-spline framelets derived from the unitary extension principle. Zbl 1267.42036Shen, Zuowei; Xu, Zhiqiang 6 2013 Recovering over-/underexposed regions in photographs. Zbl 1279.68328Hou, Likun; Ji, Hui; Shen, Zuowei 4 2013 Wavelet frame based color image demosaicing. Zbl 1296.68184Liang, Jingwei; Li, Jia; Shen, Zuowei; Zhang, Xiaoqun 4 2013 Image restoration: total variation, wavelet frames, and beyond. Zbl 1277.35019Cai, Jian-Feng; Dong, Bin; Osher, Stanley; Shen, Zuowei 90 2012 Wavelet frame based blind image inpainting. Zbl 1261.94006Dong, Bin; Ji, Hui; Li, Jia; Shen, Zuowei; Xu, Yuhong 42 2012 Framelet-based blind motion deblurring from a single image. Zbl 1372.94029Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei 27 2012 Image deconvolution using a characterization of sharp images in wavelet domain. Zbl 1261.94011Ji, Hui; Li, Jia; Shen, Zuowei; Wang, Kang 4 2012 Surveillance video processing using compressive sensing. Zbl 1242.94004Jiang, Hong; Deng, Wei; Shen, Zuowei 2 2012 Wavelet frames and image restorations. Zbl 1228.42036Shen, Zuowei 61 2011 An accelerated proximal gradient algorithm for frame-based image restoration via the balanced approach. Zbl 1219.94012Shen, Zuowei; Toh, Kim-Chuan; Yun, Sangwoon 18 2011 Robust video restoration by joint sparse and low rank matrix approximation. Zbl 1234.68451Ji, Hui; Huang, Sibin; Shen, Zuowei; Xu, Yuhong 18 2011 Adaptive multiresolution analysis structures and shearlet systems. Zbl 1283.42053Han, Bin; Kutyniok, Gitta; Shen, Zuowei 17 2011 Frame based segmentation for medical images. Zbl 1232.42032Dong, Bin; Chien, Aichi; Shen, Zuowei 17 2011 Tight periodic wavelet frames and approximation orders. Zbl 1221.42063Goh, Say Song; Han, Bin; Shen, Zuowei 11 2011 Wavelet frame based surface reconstruction from unorganized points. Zbl 1239.94007Dong, Bin; Shen, Zuowei 9 2011 Wavelet based restoration of images with missing or damaged pixels. Zbl 1286.94017Ji, Hui; Shen, Zuowei; Xu, Yuhong 4 2011 Approximation of frame based missing data recovery. Zbl 1220.94005Cai, Jian-Feng; Shen, Zuowei; Ye, Gui-Bo 3 2011 Small support spline Riesz wavelets in low dimensions. Zbl 1225.42024Han, Bin; Mo, Qun; Shen, Zuowei 1 2011 A singular value thresholding algorithm for matrix completion. Zbl 1201.90155Cai, Jian-Feng; Candès, Emmanuel J.; Shen, Zuowei 435 2010 Split Bregman methods and frame based image restoration. Zbl 1189.94014Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 183 2010 Simultaneous cartoon and texture inpainting. Zbl 1198.94021Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei 36 2010 Framelet based deconvolution. Zbl 1224.65316Cai, Jianfeng; Shen, Zuowei 17 2010 Wavelet frame based scene reconstruction from range data. Zbl 1185.65029Ji, Hui; Shen, Zuowei; Xu, Yuhong 10 2010 A new multiscale representation for shapes and its application to blood vessel recovery. Zbl 1221.92058Dong, Bin; Chien, Aichi; Shen, Zuowei; Osher, Stanley 6 2010 Tight frame based method for high-resolution image reconstruction. Zbl 1216.94008Cai, Jianfeng; Chan, Raymond; Shen, Lixin; Shen, Zuowei 2 2010 Inpainting for compressed images. Zbl 1197.94007Cai, Jian-Feng; Ji, Hui; Shang, Fuchun; Shen, Zuowei 1 2010 Linearized Bregman iterations for compressed sensing. Zbl 1198.65102Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 76 2009 Linearized Bregman iterations for frame-based image deblurring. Zbl 1175.94010Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 67 2009 Convergence of the linearized Bregman iteration for \(\ell _1\)-norm minimization. Zbl 1198.65103Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 51 2009 Dual wavelet frames and Riesz bases in Sobolev spaces. Zbl 1161.42018Han, Bin; Shen, Zuowei 51 2009 Convergence analysis of tight framelet approach for missing data recovery. Zbl 1172.94309Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei 40 2009 Simultaneously inpainting in image and transformed domains. Zbl 1168.94312Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei 16 2009 Characterization of Sobolev spaces of arbitrary smoothness using nonstationary tight wavelet frames. Zbl 1180.42004Han, Bin; Shen, Zuowei 16 2009 Scattered data reconstruction by regularization in B-spline and associated wavelet spaces. Zbl 1181.41013Johnson, Michael J.; Shen, Zuowei; Xu, Yuhong 13 2009 Blind motion deblurring using multiple images. Zbl 1167.94307Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei 12 2009 Componentwise polynomial solutions and distribution solutions of refinement equations. Zbl 1176.41014Bi, Ning; Han, Bin; Shen, Zuowei 4 2009 A framelet-based image inpainting algorithm. Zbl 1135.68056Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei 111 2008 Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei 48 2008 Restoration of chopped and nodded images by framelets. Zbl 1161.94303Cai, Jian-Feng; Chan, Raymond; Shen, Lixin; Shen, Zuowei 29 2008 Compactly supported symmetric \(C^\infty\) wavelets with spectral approximation order. Zbl 1161.42312Han, Bin; Shen, Zuowei 19 2008 Pseudo-splines, wavelets and framelets. Zbl 1282.42035Dong, Bin; Shen, Zuowei 60 2007 Deconvolution: a wavelet frame approach. Zbl 1120.65134Chai, Anwei; Shen, Zuowei 37 2007 Wavelets with short support. Zbl 1119.42016Han, Bin; Shen, Zuowei 34 2007 A framelet algorithm for enhancing video stills. Zbl 1122.68148Chan, Raymond H.; Shen, Zuowei; Xia, Tao 17 2007 A pair of orthogonal frames. Zbl 1116.42009Kim, Hong Oh; Kim, Rae Young; Lim, Jae Kun; Shen, Zuowei 9 2007 Examples of refinable componentwise polynomials. Zbl 1114.41005Bi, Ning; Han, Bin; Shen, Zuowei 7 2007 Linear independence of pseudo-splines. Zbl 1100.42025Dong, Bin; Shen, Zuowei 16 2006 Construction of biorthogonal wavelets from pseudo-splines. Zbl 1083.42028Dong, Bin; Shen, Zuowei 14 2006 Symmetric and antisymmetric tight wavelet frames. Zbl 1106.42027Goh, Say Song; Lim, Zhi Yuan; Shen, Zuowei 8 2006 Compression with time-frequency localization filters. Zbl 1099.65153Shen, Lixin; Shen, Zuowei 3 2006 Generalized shift-invariant systems. Zbl 1080.42025Ron, Amos; Shen, Zuowei 47 2005 Wavelets from the loop scheme. Zbl 1129.42434Han, Bin; Shen, Zuowei 18 2005 Tight frame: an efficient way for high-resolution image reconstruction. Zbl 1046.42026Chan, Raymond H.; Riemenschneider, Sherman D.; Shen, Lixin; Shen, Zuowei 66 2004 Multidimensional smoothing using hyperbolic interpolatory wavelets. Zbl 1065.65007Hegland, Markus; Nielsen, Ole M.; Shen, Zuowei 2 2004 Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei 313 2003 Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei 67 2003 The wavelet dimension function is the trace function of a shift-invariant system. Zbl 1019.42025Ron, Amos; Shen, Zuowei 9 2003 Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction. Zbl 1025.65064Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei 7 2003 Convergence of cascade algorithms associated with nonhomogeneous refinement equations. Zbl 0956.42025Jia, Rong-Qing; Jiang, Qingtang; Shen, Zuowei 18 2001 Computing the Sobolev regularity of refinable functions by the Arnoldi method. Zbl 1009.42025Ron, Amos; Shen, Zuowei; Toh, Kim-Chuan 6 2001 Riesz bases in subspaces of \(L_2 (\mathbb{R}_+)\). Zbl 0997.46024Goodman, T. N. T.; Micchelli, C. A.; Shen, Zuowei 3 2001 The Sobolev regularity of refinable functions. Zbl 0966.42026Ron, Amos; Shen, Zuowei 23 2000 Distributional solutions of nonhomogeneous discrete and continuous refinement equations. Zbl 0980.42035Jia, Rong-Qing; Jiang, Qingtang; Shen, Zuowei 19 2000 Interpolatory wavelet packets. Zbl 0948.42021Riemenschneider, Sherman D.; Shen, Zuowei 1 2000 Multivariate compactly supported fundamental refinable functions, duals, and biorthogonal wavelets. Zbl 1005.42019Ji, Hui; Riemenschneider, Sherman D.; Shen, Zuowei 32 1999 On existence and weak stability of matrix refinable functions. Zbl 0932.42028Jiang, Qingtang; Shen, Zuowei 30 1999 Compactly supported (bi)orthogonal wavelets generated by interpolatory refinable functions. Zbl 0937.65145Ji, Hui; Shen, Zuowei 16 1999 Construction of compactly supported biorthogonal wavelets. Zbl 1061.42502Riemenschneider, Sherman D.; Shen, Zuowei 3 1999 Refinable function vectors. Zbl 0913.42028Shen, Zuowei 73 1998 ...and 25 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,443 Authors 72 Shen, Zuowei 43 Han, Bin 39 Christensen, Ole 28 Huang, Ting-Zhu 28 Li, Song 26 Jiang, Qingtang 26 Kim, Hong Oh 26 Li, Yunzhang 25 Dong, Bin 23 Kim, Rae Young 22 Ji, Hui 22 Jia, Rong-Qing 22 Shen, Lixin 20 Bownik, Marcin 20 Cai, Jian-Feng 20 Zeng, Tie Yong 19 Conti, Costanza 18 Chui, Charles Kam-tai 18 Goh, Say Song 18 Shah, Firdous Ahmad 18 Yang, Shouzhi 18 Zhao, Xile 18 Zhuang, Xiaosheng 17 Charina, Maria 17 Zhang, Xiaoqun 16 Sun, Qiyu 16 Sun, Wenchang 15 Chen, Qingjiang 15 Han, Deguang 15 Lim, Jae Kun 15 Osher, Stanley Joel 15 Romani, Lucia 15 Stöckler, Joachim 15 Xu, Yuesheng 13 Chan, Raymond Hon-Fu 13 Ng, Michael Kwok-Po 12 Donatelli, Marco 12 Li, Youfa 12 Ma, Tian-Hui 12 Ron, Amos 12 Yang, Jianbin 11 Buccini, Alessandro 11 Cabrelli, Carlos A. 11 Cui, Lihong 11 Gröchenig, Karlheinz 11 Lemvig, Jakob 11 Lu, Jian 11 Lv, Xiaoguang 11 San Antolín, Angel 10 Krivoshein, Aleksandr Vladimirovich 10 Kutyniok, Gitta 10 Li, Fang 10 Paternostro, Victoria 10 Wu, Chunlin 9 Bhat, Mohammad Younus 9 Cheng, Lizhi 9 Cheng, Zhengxing 9 Feichtinger, Hans Georg 9 Gabardo, Jean-Pierre 9 Goodman, Timothy N. T. 9 Wei, Ke 9 Zhang, Jianping 9 Zhou, Dingxuan 8 Ahmad, Owais 8 Chen, Dirong 8 Dyn, Nira 8 He, Wenjie 8 Jakobsen, Mads Sielemann 8 Luef, Franz 8 Mo, Qun 8 Nielsen, Morten 8 Pang, Zhifeng 8 Reichel, Lothar 8 Wen, Zaiwen 8 Yin, Wotao 7 Casazza, Peter George 7 Fan, Qibin 7 García, Antonio G. 7 Ji, Teng-Yu 7 Jia, HuiFang 7 Kamyabi-Gol, Rajab Ali 7 Karoui, Abderrazek 7 Lai, Mingjun 7 Li, Jia 7 Plonka, Gerlind 7 Protasov, Vladimir Yu. 7 Skopina, Maria A. 7 Wang, Chuanlong 7 Yang, Haizhao 7 Yang, Yufei 7 Zalik, Richard A. 7 Zhang, Hui 6 Bao, Chenglong 6 Burger, Martin 6 Choi, Jae Kyu 6 Feng, Xiangchu 6 Goldfarb, Donald 6 Kang, Myungjoo 6 Labate, Demetrio 6 Li, Dengfeng ...and 2,343 more Authors all top 5 Cited in 285 Serials 198 Applied and Computational Harmonic Analysis 65 Journal of Computational and Applied Mathematics 65 International Journal of Wavelets, Multiresolution and Information Processing 61 Journal of Approximation Theory 60 The Journal of Fourier Analysis and Applications 54 SIAM Journal on Imaging Sciences 52 Journal of Scientific Computing 52 Advances in Computational Mathematics 51 Applied Mathematics and Computation 42 Journal of Mathematical Analysis and Applications 36 Inverse Problems and Imaging 30 Mathematics of Computation 27 Proceedings of the American Mathematical Society 26 Linear Algebra and its Applications 25 Mathematical Problems in Engineering 25 Journal of Inequalities and Applications 24 Inverse Problems 24 Information Sciences 21 Journal of Mathematical Imaging and Vision 19 Journal of Functional Analysis 19 Science China. 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Electronic Transactions on Numerical Analysis 5 Journal of Applied Mathematics 5 Journal of Applied Mathematics and Computing 5 Multiscale Modeling & Simulation 5 East Asian Journal on Applied Mathematics 4 Bulletin of the Australian Mathematical Society 4 Journal of the Franklin Institute 4 Mathematische Nachrichten 4 Results in Mathematics 4 SIAM Journal on Numerical Analysis 4 Journal of Computational Mathematics 4 Science in China. Series A 4 Signal Processing 4 St. Petersburg Mathematical Journal 4 Journal of Inverse and Ill-Posed Problems 4 Data Mining and Knowledge Discovery 4 Journal of Industrial and Management Optimization 4 Frontiers of Mathematics in China 4 Banach Journal of Mathematical Analysis 4 Mathematical Programming Computation 3 Journal of Mathematical Physics 3 Linear and Multilinear Algebra 3 Mathematical Methods in the Applied Sciences 3 Rocky Mountain Journal of Mathematics 3 ACM Transactions on Mathematical Software 3 The Annals of Statistics 3 BIT 3 Journal of the American Statistical Association 3 Monatshefte für Mathematik 3 Zeitschrift für Analysis und ihre Anwendungen 3 Journal of Complexity 3 Numerical Linear Algebra with Applications 3 Filomat ...and 185 more Serials all top 5 Cited in 54 Fields 875 Harmonic analysis on Euclidean spaces (42-XX) 712 Numerical analysis (65-XX) 494 Information and communication theory, circuits (94-XX) 316 Operations research, mathematical programming (90-XX) 291 Computer science (68-XX) 237 Approximations and expansions (41-XX) 153 Linear and multilinear algebra; matrix theory (15-XX) 146 Statistics (62-XX) 117 Functional analysis (46-XX) 84 Operator theory (47-XX) 76 Calculus of variations and optimal control; optimization (49-XX) 72 Abstract harmonic analysis (43-XX) 54 Biology and other natural sciences (92-XX) 46 Partial differential equations (35-XX) 29 Number theory (11-XX) 27 Difference and functional equations (39-XX) 22 Probability theory and stochastic processes (60-XX) 19 Topological groups, Lie groups (22-XX) 18 Systems theory; control (93-XX) 16 Combinatorics (05-XX) 13 Integral equations (45-XX) 11 Integral transforms, operational calculus (44-XX) 10 Real functions (26-XX) 10 Convex and discrete geometry (52-XX) 10 Quantum theory (81-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Algebraic geometry (14-XX) 7 Differential geometry (53-XX) 6 Commutative algebra (13-XX) 6 Functions of a complex variable (30-XX) 6 Special functions (33-XX) 5 Measure and integration (28-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Mechanics of deformable solids (74-XX) 5 Optics, electromagnetic theory (78-XX) 4 Ordinary differential equations (34-XX) 4 Sequences, series, summability (40-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Geophysics (86-XX) 3 Potential theory (31-XX) 3 Manifolds and cell complexes (57-XX) 3 Fluid mechanics (76-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 Geometry (51-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-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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