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Author ID: shen.zuowei Recent zbMATH articles by "Shen, Zuowei"
Published as: Shen, Zuowei; Shen, Z.
Homepage: http://www.math.nus.edu.sg/~matzuows/
External Links: MGP · Wikidata · dblp
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

Publications by Year

Citations contained in zbMATH Open

131 Publications have been cited 4,567 times in 2,170 Documents Cited by Year
A singular value thresholding algorithm for matrix completion. Zbl 1201.90155
Cai, Jian-Feng; Candès, Emmanuel J.; Shen, Zuowei
522
2010
Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator. Zbl 0891.42018
Ron, Amos; Shen, Zuowei
379
1997
Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031
Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei
331
2003
Split Bregman methods and frame based image restoration. Zbl 1189.94014
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
203
2010
Frames and stable bases for shift-invariant subspaces of \(L_ 2(\mathbb{R}^ d)\). Zbl 0838.42016
Ron, Amos; Shen, Zuowei
181
1995
Weyl-Heisenberg frames and Riesz bases in \(L_2(\mathbb{R}^d)\). Zbl 0892.42017
Ron, Amos; Shen, Zuowei
135
1997
Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems. Zbl 0904.42025
Ron, Amos; Shen, Zuowei
122
1997
A framelet-based image inpainting algorithm. Zbl 1135.68056
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei
116
2008
Image restoration: total variation, wavelet frames, and beyond. Zbl 1277.35019
Cai, Jian-Feng; Dong, Bin; Osher, Stanley; Shen, Zuowei
106
2012
Linearized Bregman iterations for compressed sensing. Zbl 1198.65102
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
85
2009
Refinable function vectors. Zbl 0913.42028
Shen, Zuowei
74
1998
Linearized Bregman iterations for frame-based image deblurring. Zbl 1175.94010
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
74
2009
Tight frame: an efficient way for high-resolution image reconstruction. Zbl 1046.42026
Chan, Raymond H.; Riemenschneider, Sherman D.; Shen, Lixin; Shen, Zuowei
70
2004
Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127
Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei
69
2003
Pseudo-splines, wavelets and framelets. Zbl 1282.42035
Dong, Bin; Shen, Zuowei
65
2007
Wavelet frames and image restorations. Zbl 1228.42036
Shen, Zuowei
63
2011
MRA-based wavelet frames and applications. Zbl 1344.94009
Dong, Bin; Shen, Zuowei
62
2013
Multiresolution and wavelets. Zbl 0809.42018
Jia, Rong-Qing; Shen, Zuowei
57
1994
Convergence of the linearized Bregman iteration for \(\ell _1\)-norm minimization. Zbl 1198.65103
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
55
2009
Dual wavelet frames and Riesz bases in Sobolev spaces. Zbl 1161.42018
Han, Bin; 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
Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003
Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei
53
2008
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
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
Deep network approximation for smooth functions. Zbl 07407717
Lu, Jianfeng; Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
45
2021
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
Nontensor product wavelet packets in \(L_ 2 (\mathbb{R}^ s)\). Zbl 0826.42025
Shen, Zuowei
38
1995
Simultaneous cartoon and texture inpainting. Zbl 1198.94021
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei
38
2010
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
On existence and weak stability of matrix refinable functions. Zbl 0932.42028
Jiang, Qingtang; Shen, Zuowei
33
1999
Deep network approximation characterized by number of neurons. Zbl 1507.68276
Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
33
2020
Multivariate compactly supported fundamental refinable functions, duals, and biorthogonal wavelets. Zbl 1005.42019
Ji, Hui; Riemenschneider, Sherman D.; Shen, Zuowei
32
1999
Characterization of compactly supported refinable splines. Zbl 0828.41006
Lawton, Wayne; Lee, S. L.; Shen, Zuowei
31
1995
Image restoration: a wavelet frame based model for piecewise smooth functions and beyond. Zbl 1339.65028
Cai, Jian-Feng; Dong, Bin; Shen, Zuowei
30
2016
Multidimensional interpolatory subdivision schemes. Zbl 0889.65005
Riemenschneider, Sherman D.; Shen, Zuowei
29
1997
Framelet-based blind motion deblurring from a single image. Zbl 1372.94029
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei
29
2012
Restoration of chopped and nodded images by framelets. Zbl 1161.94303
Cai, Jian-Feng; Chan, Raymond; Shen, Lixin; Shen, Zuowei
29
2008
Convergence of multidimensional cascade algorithm. Zbl 0890.41005
Lawton, W.; Lee, S. L.; Shen, Zuowei
26
1998
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
Nonlinear approximation via compositions. Zbl 1475.41013
Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
25
2019
Image restoration: wavelet frame shrinkage, nonlinear evolution PDEs, and beyond. Zbl 1378.35159
Dong, Bin; Jiang, Qingtang; Shen, Zuowei
24
2017
The Sobolev regularity of refinable functions. Zbl 0966.42026
Ron, Amos; Shen, Zuowei
23
2000
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
23
2016
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
22
2021
Compactly supported symmetric \(C^\infty\) wavelets with spectral approximation order. Zbl 1161.42312
Han, Bin; Shen, Zuowei
20
2008
An accelerated proximal gradient algorithm for frame-based image restoration via the balanced approach. Zbl 1219.94012
Shen, Zuowei; Toh, Kim-Chuan; Yun, Sangwoon
19
2011
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
Linear independence of pseudo-splines. Zbl 1100.42025
Dong, Bin; Shen, Zuowei
18
2006
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
Frame based segmentation for medical images. Zbl 1232.42032
Dong, Bin; Chien, Aichi; Shen, Zuowei
18
2011
Framelet based deconvolution. Zbl 1224.65316
Cai, Jianfeng; Shen, Zuowei
18
2010
Compactly supported (bi)orthogonal wavelets generated by interpolatory refinable functions. Zbl 0937.65145
Ji, Hui; Shen, Zuowei
17
1999
Characterization of Sobolev spaces of arbitrary smoothness using nonstationary tight wavelet frames. Zbl 1180.42004
Han, Bin; Shen, Zuowei
17
2009
A framelet algorithm for enhancing video stills. Zbl 1122.68148
Chan, Raymond H.; Shen, Zuowei; Xia, Tao
17
2007
Adaptive multiresolution analysis structures and shearlet systems. Zbl 1283.42053
Han, Bin; Kutyniok, Gitta; Shen, Zuowei
17
2011
Mathematics and computation in imaging science and information processing. Zbl 1131.68115
17
2007
Image restoration with mixed or unknown noises. Zbl 1380.94021
Gong, Zheng; Shen, Zuowei; Toh, Kim-Chuan
17
2014
Dual Gramian analysis: duality principle and unitary extension principle. Zbl 1326.42037
Fan, Zhitao; Ji, Hui; Shen, Zuowei
17
2016
Simultaneously inpainting in image and transformed domains. Zbl 1168.94312
Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei
17
2009
Neural network approximation: three hidden layers are enough. Zbl 07743433
Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
17
2021
Data-driven multi-scale non-local wavelet frame construction and image recovery. Zbl 1331.68273
Quan, Yuhui; Ji, Hui; Shen, Zuowei
16
2015
Convergence analysis for iterative data-driven tight frame construction scheme. Zbl 1361.94006
Bao, Chenglong; Ji, Hui; Shen, Zuowei
16
2015
Box splines, cardinal series, and wavelets. Zbl 0719.41018
Reimenschneider, Sherman D.; Shen, Zuowei
15
1991
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
Blind motion deblurring using multiple images. Zbl 1167.94307
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei
12
2009
Wavelet frame based algorithm for 3D reconstruction in electron microscopy. Zbl 1310.68215
Li, Ming; Fan, Zhitao; Ji, Hui; Shen, Zuowei
11
2014
Tight periodic wavelet frames and approximation orders. Zbl 1221.42063
Goh, Say Song; Han, Bin; Shen, Zuowei
11
2011
Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness. Zbl 1375.42051
Han, Bin; Jiang, Qingtang; Shen, Zuowei; Zhuang, Xiaosheng
11
2018
Optimal approximation rate of ReLU networks in terms of width and depth. Zbl 1501.41010
Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
11
2022
A pair of orthogonal frames. Zbl 1116.42009
Kim, Hong Oh; Kim, Rae Young; Lim, Jae Kun; Shen, Zuowei
10
2007
Wavelet frame based scene reconstruction from range data. Zbl 1185.65029
Ji, Hui; Shen, Zuowei; Xu, Yuhong
10
2010
Wavelet frame based surface reconstruction from unorganized points. Zbl 1239.94007
Dong, Bin; Shen, Zuowei
10
2011
Wavelet frame based multiphase image segmentation. Zbl 1281.65042
Tai, Cheng; Zhang, Xiaoqun; Shen, Zuowei
10
2013
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
Symmetric and antisymmetric tight wavelet frames. Zbl 1106.42027
Goh, Say Song; Lim, Zhi Yuan; Shen, Zuowei
8
2006
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
Examples of refinable componentwise polynomials. Zbl 1114.41005
Bi, Ning; Han, Bin; Shen, Zuowei
7
2007
On B-spline framelets derived from the unitary extension principle. Zbl 1267.42036
Shen, Zuowei; Xu, Zhiqiang
7
2013
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
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
Tight wavelet frames in low dimensions with canonical filters. Zbl 1316.42037
Jiang, Qingtang; Shen, Zuowei
7
2015
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
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
6
2017
Computing the Sobolev regularity of refinable functions by the Arnoldi method. Zbl 1009.42025
Ron, Amos; Shen, Zuowei; Toh, Kim-Chuan
6
2001
Dimension of kernels of linear operators. Zbl 0754.41015
Jia, Rong-Qing; Riemenschneider, Sherman; Shen, Zuowei
5
1992
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
Deep learning via dynamical systems: an approximation perspective. Zbl 1528.41106
Li, Qianxiao; Lin, Ting; Shen, Zuowei
5
2023
Optimal approximation rate of ReLU networks in terms of width and depth. Zbl 1501.41010
Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
11
2022
Deep network approximation for smooth functions. Zbl 07407717
Lu, Jianfeng; Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
45
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
22
2021
Neural network approximation: three hidden layers are enough. Zbl 07743433
Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
17
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
33
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
25
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
24
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
6
2017
Image restoration: a wavelet frame based model for piecewise smooth functions and beyond. Zbl 1339.65028
Cai, Jian-Feng; Dong, Bin; Shen, Zuowei
30
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
23
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
2
2016
Data-driven multi-scale non-local wavelet frame construction and image recovery. Zbl 1331.68273
Quan, Yuhui; Ji, Hui; Shen, Zuowei
16
2015
Convergence analysis for iterative data-driven tight frame construction scheme. Zbl 1361.94006
Bao, Chenglong; Ji, Hui; Shen, Zuowei
16
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
11
2014
MRA-based wavelet frames and applications. Zbl 1344.94009
Dong, Bin; Shen, Zuowei
62
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
Wavelet frame based color image demosaicing. Zbl 1296.68184
Liang, Jingwei; Li, Jia; Shen, Zuowei; Zhang, Xiaoqun
5
2013
Recovering over-/underexposed regions in photographs. Zbl 1279.68328
Hou, Likun; Ji, Hui; Shen, Zuowei
4
2013
Image restoration: total variation, wavelet frames, and beyond. Zbl 1277.35019
Cai, Jian-Feng; Dong, Bin; Osher, Stanley; Shen, Zuowei
106
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
63
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
19
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
Frame based segmentation for medical images. Zbl 1232.42032
Dong, Bin; Chien, Aichi; Shen, Zuowei
18
2011
Adaptive multiresolution analysis structures and shearlet systems. Zbl 1283.42053
Han, Bin; Kutyniok, Gitta; 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
10
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
522
2010
Split Bregman methods and frame based image restoration. Zbl 1189.94014
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
203
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
18
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
85
2009
Linearized Bregman iterations for frame-based image deblurring. Zbl 1175.94010
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
74
2009
Convergence of the linearized Bregman iteration for \(\ell _1\)-norm minimization. Zbl 1198.65103
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
55
2009
Dual wavelet frames and Riesz bases in Sobolev spaces. Zbl 1161.42018
Han, Bin; 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
Characterization of Sobolev spaces of arbitrary smoothness using nonstationary tight wavelet frames. Zbl 1180.42004
Han, Bin; Shen, Zuowei
17
2009
Simultaneously inpainting in image and transformed domains. Zbl 1168.94312
Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; 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
116
2008
Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003
Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei
53
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
65
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
Mathematics and computation in imaging science and information processing. Zbl 1131.68115
17
2007
A pair of orthogonal frames. Zbl 1116.42009
Kim, Hong Oh; Kim, Rae Young; Lim, Jae Kun; Shen, Zuowei
10
2007
Examples of refinable componentwise polynomials. Zbl 1114.41005
Bi, Ning; Han, Bin; Shen, Zuowei
7
2007
Gabor and wavelet frames. Zbl 1125.42002
1
2007
Linear independence of pseudo-splines. Zbl 1100.42025
Dong, Bin; Shen, Zuowei
18
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
70
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
331
2003
Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127
Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei
69
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
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Cited by 2,924 Authors

78 Shen, Zuowei
45 Han, Bin
40 Christensen, Ole
31 Huang, Ting-Zhu
30 Li, Song
29 Li, Yunzhang
27 Dong, Bin
27 Zeng, Tie Yong
26 Jiang, Qingtang
26 Kim, Hong Oh
24 Ji, Hui
23 Kim, Rae Young
22 Jia, Rong-Qing
22 Shen, Lixin
21 Conti, Costanza
21 Ng, Michael Kwok-Po
20 Bownik, Marcin
20 Cai, Jian-Feng
20 Zhuang, Xiaosheng
19 Yang, Shouzhi
19 Zhao, Xile
18 Charina, Maria
18 Chui, Charles Kam-tai
18 Goh, Say Song
18 Shah, Firdous Ahmad
18 Xu, Yuesheng
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
13 Yang, Haizhao
12 Donatelli, Marco
12 Lee, Seng Luan
12 Li, Fang
12 Ma, Tian-Hui
12 Ron, Amos
12 San Antolín, Angel
12 Yang, Jianbin
12 Zhou, Dingxuan
11 Buccini, Alessandro
11 Cabrelli, Carlos A.
11 Cui, Lihong
11 Dyn, Nira
11 Lemvig, Jakob
11 Lu, Jian
11 Lv, Xiaoguang
11 Paternostro, Victoria
11 Wu, Chunlin
10 Ahmad, Owais
10 Bhat, Mohammad Younus
10 Cheng, Zhengxing
10 Jiao, Yuling
10 Krivoshein, Aleksandr Vladimirovich
10 Kutyniok, Gitta
9 Cheng, Lizhi
9 Feichtinger, Hans Georg
9 Gabardo, Jean-Pierre
9 Goodman, Timothy N. T.
9 Luef, Franz
9 Schönlieb, Carola-Bibiane
9 Wei, Ke
9 Wen, Zaiwen
9 Zhang, Jianping
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 Sheikh, Neyaz Ahmad
8 Wang, Yang
8 Yin, Wotao
7 Burger, Martin
7 Casazza, Peter George
7 Deng, Liangjian
7 García, Antonio G.
7 Hormann, Kai
7 Jia, HuiFang
7 Karoui, Abderrazek
7 Labate, Demetrio
7 Lai, Mingjun
7 Li, Chao
7 Lu, Xiliang
7 Ni, Guoxi
...and 2,824 more Authors
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Cited in 313 Serials

211 Applied and Computational Harmonic Analysis
73 Journal of Computational and Applied Mathematics
69 International Journal of Wavelets, Multiresolution and Information Processing
63 Journal of Approximation Theory
63 Journal of Scientific Computing
60 The Journal of Fourier Analysis and Applications
60 SIAM Journal on Imaging Sciences
55 Applied Mathematics and Computation
53 Advances in Computational Mathematics
45 Journal of Mathematical Analysis and Applications
43 Inverse Problems and Imaging
42 Information Sciences
35 Inverse Problems
30 Mathematics of Computation
27 Journal of Computational Physics
27 Proceedings of the American Mathematical Society
27 Neural Networks
27 Mathematical Problems in Engineering
26 Linear Algebra and its Applications
25 Journal of Inequalities and Applications
23 Journal of Mathematical Imaging and Vision
20 Journal of Functional Analysis
20 Computational Optimization and Applications
20 SIAM Journal on Scientific Computing
19 Computers & Mathematics with Applications
19 Numerical Algorithms
19 Science China. Mathematics
18 Chaos, Solitons and Fractals
18 Applied Mathematical Modelling
17 Multidimensional Systems and Signal Processing
16 Numerical Functional Analysis and Optimization
16 Acta Mathematica Sinica. English Series
15 Constructive Approximation
15 Abstract and Applied Analysis
15 Journal of Machine Learning Research (JMLR)
14 Applicable Analysis
14 Computer Aided Geometric Design
14 Machine Learning
14 International Journal of Computer Mathematics
14 Analysis and Applications (Singapore)
13 Transactions of the American Mathematical Society
13 The Journal of Geometric Analysis
13 International Journal of Computer Vision
12 Computational and Applied Mathematics
11 Mathematical Programming. Series A. Series B
11 Communications in Computational Physics
10 Numerische Mathematik
10 Acta Applicandae Mathematicae
10 Computational Statistics and Data Analysis
10 Applied Mathematics. Series B (English Edition)
10 Electronic Journal of Statistics
9 Applied Numerical Mathematics
9 Foundations of Computational Mathematics
9 Journal of the Operations Research Society of China
8 Journal of Multivariate Analysis
8 Circuits, Systems, and Signal Processing
8 Applied Mathematics Letters
8 Journal of Global Optimization
8 SIAM Journal on Optimization
8 Journal of Industrial and Management Optimization
7 Journal of Computational Mathematics
7 Pattern Recognition
7 SIAM Journal on Mathematical Analysis
7 ETNA. Electronic Transactions on Numerical Analysis
7 Optimization Methods & Software
7 East Asian Journal on Applied Mathematics
7 SIAM Journal on Mathematics of Data Science
6 The Annals of Statistics
6 Journal of Optimization Theory and Applications
6 Mathematische Nachrichten
6 SIAM Journal on Matrix Analysis and Applications
6 Journal of Applied Mathematics and Computing
6 Complex Analysis and Operator Theory
5 Journal of the Franklin Institute
5 Mathematical Methods in the Applied Sciences
5 Journal of the American Statistical Association
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 Rocky Mountain Journal of Mathematics
4 Journal of Econometrics
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 ACM Transactions on Mathematical Software
...and 213 more Serials
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Cited in 54 Fields

928 Harmonic analysis on Euclidean spaces (42-XX)
842 Numerical analysis (65-XX)
558 Information and communication theory, circuits (94-XX)
390 Computer science (68-XX)
376 Operations research, mathematical programming (90-XX)
282 Approximations and expansions (41-XX)
195 Statistics (62-XX)
182 Linear and multilinear algebra; matrix theory (15-XX)
128 Functional analysis (46-XX)
93 Operator theory (47-XX)
89 Calculus of variations and optimal control; optimization (49-XX)
79 Abstract harmonic analysis (43-XX)
67 Partial differential equations (35-XX)
60 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)
25 Systems theory; control (93-XX)
21 Topological groups, Lie groups (22-XX)
18 Combinatorics (05-XX)
14 Integral equations (45-XX)
13 Real functions (26-XX)
12 Dynamical systems and ergodic theory (37-XX)
12 Integral transforms, operational calculus (44-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Functions of a complex variable (30-XX)
11 Quantum theory (81-XX)
10 Convex and discrete geometry (52-XX)
10 Global analysis, analysis on manifolds (58-XX)
8 Fluid mechanics (76-XX)
7 Measure and integration (28-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 Mechanics of deformable solids (74-XX)
6 Optics, electromagnetic theory (78-XX)
5 Ordinary differential equations (34-XX)
5 Geophysics (86-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)

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