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Shen, Zuowei

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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
Documents Indexed: 131 Publications since 1990, including 2 Books
all top 5

Serials

22 Applied and Computational Harmonic Analysis
9 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 Advances in Computational Mathematics
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 SIAM Journal on Numerical Analysis
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 Mathematical Notes
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 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 East Asian Journal on Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

117 Publications have been cited 3,544 times in 1,649 Documents Cited by Year
A singular value thresholding algorithm for matrix completion. Zbl 1201.90155
Cai, Jian-Feng; Candès, Emmanuel J.; Shen, Zuowei
363
2010
Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator. Zbl 0891.42018
Ron, Amos; Shen, Zuowei
314
1997
Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031
Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei
280
2003
Split Bregman methods and frame based image restoration. Zbl 1189.94014
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
162
2010
Frames and stable bases for shift-invariant subspaces of \(L_ 2(\mathbb{R}^ d)\). Zbl 0838.42016
Ron, Amos; Shen, Zuowei
157
1995
Weyl-Heisenberg frames and Riesz bases in \(L_2(\mathbb{R}^d)\). Zbl 0892.42017
Ron, Amos; Shen, Zuowei
116
1997
A framelet-based image inpainting algorithm. Zbl 1135.68056
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei
95
2008
Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems. Zbl 0904.42025
Ron, Amos; Shen, Zuowei
81
1997
Refinable function vectors. Zbl 0913.42028
Shen, Zuowei
73
1998
Image restoration: total variation, wavelet frames, and beyond. Zbl 1277.35019
Cai, Jian-Feng; Dong, Bin; Osher, Stanley; Shen, Zuowei
73
2012
Linearized Bregman iterations for compressed sensing. Zbl 1198.65102
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
63
2009
Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127
Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei
62
2003
Tight frame: an efficient way for high-resolution image reconstruction. Zbl 1046.42026
Chan, Raymond H.; Riemenschneider, Sherman D.; Shen, Lixin; Shen, Zuowei
60
2004
Linearized Bregman iterations for frame-based image deblurring. Zbl 1175.94010
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
58
2009
Multiresolution and wavelets. Zbl 0809.42018
Jia, Rong-Qing; Shen, Zuowei
55
1994
Wavelet frames and image restorations. Zbl 1228.42036
Shen, Zuowei
53
2011
Pseudo-splines, wavelets and framelets. Zbl 1282.42035
Dong, Bin; Shen, Zuowei
52
2007
Compactly supported tight affine spline frames in \(L_{2}(\mathbb{R}^{d})\). Zbl 0892.42018
Ron, Amos; Shen, Zuowei
49
1998
Generalized shift-invariant systems. Zbl 1080.42025
Ron, Amos; Shen, Zuowei
45
2005
An algorithm for matrix extension and wavelet construction. Zbl 0842.41011
Lawton, W.; Lee, S. L.; Shen, Zuowei
44
1996
Wavelets and pre-wavelets in low dimensions. Zbl 0772.41019
Riemenschneider, Sherman D.; Shen, Zuowei
44
1992
Dual wavelet frames and Riesz bases in Sobolev spaces. Zbl 1161.42018
Han, Bin; Shen, Zuowei
43
2009
Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003
Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei
41
2008
Convergence of the linearized Bregman iteration for \(\ell _1\)-norm minimization. Zbl 1198.65103
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
41
2009
Stability and orthonormality of multivariate refinable functions. Zbl 0872.41003
Lawton, W.; Lee, S. L.; Shen, Zuowei
38
1997
Data-driven tight frame construction and image denoising. Zbl 1336.94008
Cai, Jian-Feng; Ji, Hui; Shen, Zuowei; Ye, Gui-Bo
37
2014
Wavelet frame based blind image inpainting. Zbl 1261.94006
Dong, Bin; Ji, Hui; Li, Jia; Shen, Zuowei; Xu, Yuhong
36
2012
Deconvolution: a wavelet frame approach. Zbl 1120.65134
Chai, Anwei; Shen, Zuowei
34
2007
Convergence analysis of tight framelet approach for missing data recovery. Zbl 1172.94309
Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei
33
2009
Nontensor product wavelet packets in \(L_ 2 (\mathbb{R}^ s)\). Zbl 0826.42025
Shen, Zuowei
32
1995
Multivariate compactly supported fundamental refinable functions, duals, and biorthogonal wavelets. Zbl 1005.42019
Ji, Hui; Riemenschneider, Sherman D.; Shen, Zuowei
32
1999
Wavelets with short support. Zbl 1119.42016
Han, Bin; Shen, Zuowei
31
2007
On existence and weak stability of matrix refinable functions. Zbl 0932.42028
Jiang, Qingtang; Shen, Zuowei
30
1999
Simultaneous cartoon and texture inpainting. Zbl 1198.94021
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei
30
2010
Characterization of compactly supported refinable splines. Zbl 0828.41006
Lawton, Wayne; Lee, S. L.; Shen, Zuowei
29
1995
Multidimensional interpolatory subdivision schemes. Zbl 0889.65005
Riemenschneider, Sherman D.; Shen, Zuowei
28
1997
Convergence of multidimensional cascade algorithm. Zbl 0890.41005
Lawton, W.; Lee, S. L.; Shen, Zuowei
26
1998
Restoration of chopped and nodded images by framelets. Zbl 1161.94303
Cai, Jian-Feng; Chan, Raymond; Shen, Lixin; Shen, Zuowei
25
2008
The Sobolev regularity of refinable functions. Zbl 0966.42026
Ron, Amos; Shen, Zuowei
23
2000
X-ray CT image reconstruction via wavelet frame based regularization and Radon domain inpainting. Zbl 1308.94015
Dong, Bin; Li, Jia; Shen, Zuowei
22
2013
Framelet-based blind motion deblurring from a single image. Zbl 1372.94029
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei
22
2012
MRA-based wavelet frames and applications. Zbl 1344.94009
Dong, Bin; Shen, Zuowei
21
2013
Image restoration: a wavelet frame based model for piecewise smooth functions and beyond. Zbl 1339.65028
Cai, Jian-Feng; Dong, Bin; Shen, Zuowei
21
2016
Distributional solutions of nonhomogeneous discrete and continuous refinement equations. Zbl 0980.42035
Jia, Rong-Qing; Jiang, Qingtang; Shen, Zuowei
19
2000
Compactly supported symmetric \(C^\infty\) wavelets with spectral approximation order. Zbl 1161.42312
Han, Bin; Shen, Zuowei
18
2008
Convergence of cascade algorithms associated with nonhomogeneous refinement equations. Zbl 0956.42025
Jia, Rong-Qing; Jiang, Qingtang; Shen, Zuowei
17
2001
Wavelets from the loop scheme. Zbl 1129.42434
Han, Bin; Shen, Zuowei
17
2005
An accelerated proximal gradient algorithm for frame-based image restoration via the balanced approach. Zbl 1219.94012
Shen, Zuowei; Toh, Kim-Chuan; Yun, Sangwoon
17
2011
A framelet algorithm for enhancing video stills. Zbl 1122.68148
Chan, Raymond H.; Shen, Zuowei; Xia, Tao
17
2007
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
17
2016
Compactly supported (bi)orthogonal wavelets generated by interpolatory refinable functions. Zbl 0937.65145
Ji, Hui; Shen, Zuowei
16
1999
Frame based segmentation for medical images. Zbl 1232.42032
Dong, Bin; Chien, Aichi; Shen, Zuowei
16
2011
Framelet based deconvolution. Zbl 1224.65316
Cai, Jianfeng; Shen, Zuowei
16
2010
Image restoration: wavelet frame shrinkage, nonlinear evolution PDEs, and beyond. Zbl 1378.35159
Dong, Bin; Jiang, Qingtang; Shen, Zuowei
16
2017
Linear independence of pseudo-splines. Zbl 1100.42025
Dong, Bin; Shen, Zuowei
15
2006
Robust video restoration by joint sparse and low rank matrix approximation. Zbl 1234.68451
Ji, Hui; Huang, Sibin; Shen, Zuowei; Xu, Yuhong
15
2011
Adaptive multiresolution analysis structures and shearlet systems. Zbl 1283.42053
Han, Bin; Kutyniok, Gitta; Shen, Zuowei
15
2011
Dual Gramian analysis: duality principle and unitary extension principle. Zbl 1326.42037
Fan, Zhitao; Ji, Hui; Shen, Zuowei
15
2016
Characterization of Sobolev spaces of arbitrary smoothness using nonstationary tight wavelet frames. Zbl 1180.42004
Han, Bin; Shen, Zuowei
14
2009
Construction of biorthogonal wavelets from pseudo-splines. Zbl 1083.42028
Dong, Bin; Shen, Zuowei
13
2006
Convergence analysis for iterative data-driven tight frame construction scheme. Zbl 1361.94006
Bao, Chenglong; Ji, Hui; Shen, Zuowei
13
2015
Simultaneously inpainting in image and transformed domains. Zbl 1168.94312
Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei
13
2009
Duality for frames. Zbl 1332.42024
Fan, Zhitao; Heinecke, Andreas; Shen, Zuowei
13
2016
Blind motion deblurring using multiple images. Zbl 1167.94307
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei
12
2009
Image restoration with mixed or unknown noises. Zbl 1380.94021
Gong, Zheng; Shen, Zuowei; Toh, Kim-Chuan
10
2014
Scattered data reconstruction by regularization in B-spline and associated wavelet spaces. Zbl 1181.41013
Johnson, Michael J.; Shen, Zuowei; Xu, Yuhong
10
2009
The wavelet dimension function is the trace function of a shift-invariant system. Zbl 1019.42025
Ron, Amos; Shen, Zuowei
9
2003
Wavelet frame based multiphase image segmentation. Zbl 1281.65042
Tai, Cheng; Zhang, Xiaoqun; Shen, Zuowei
9
2013
Data-driven multi-scale non-local wavelet frame construction and image recovery. Zbl 1331.68273
Quan, Yuhui; Ji, Hui; Shen, Zuowei
9
2015
Wavelet frame based surface reconstruction from unorganized points. Zbl 1239.94007
Dong, Bin; Shen, Zuowei
9
2011
Wavelet frame based scene reconstruction from range data. Zbl 1185.65029
Ji, Hui; Shen, Zuowei; Xu, Yuhong
9
2010
A pair of orthogonal frames. Zbl 1116.42009
Kim, Hong Oh; Kim, Rae Young; Lim, Jae Kun; Shen, Zuowei
9
2007
Symmetric and antisymmetric tight wavelet frames. Zbl 1106.42027
Goh, Say Song; Lim, Zhi Yuan; Shen, Zuowei
8
2006
Tight periodic wavelet frames and approximation orders. Zbl 1221.42063
Goh, Say Song; Han, Bin; Shen, Zuowei
8
2011
Wavelet frame based algorithm for 3D reconstruction in electron microscopy. Zbl 1310.68215
Li, Ming; Fan, Zhitao; Ji, Hui; Shen, Zuowei
8
2014
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
Gramian analysis of affine bases and affine frames. Zbl 0927.42030
Ron, Amos; Shen, Zuowei
7
1995
Examples of refinable componentwise polynomials. Zbl 1114.41005
Bi, Ning; Han, Bin; Shen, Zuowei
7
2007
Computing the Sobolev regularity of refinable functions by the Arnoldi method. Zbl 1009.42025
Ron, Amos; Shen, Zuowei; Toh, Kim-Chuan
6
2001
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
Directional frames for image recovery: multi-scale discrete Gabor frames. Zbl 1380.42026
Ji, Hui; Shen, Zuowei; Zhao, Yufei
6
2017
Construction of Schauder decomposition on Banach spaces of periodic functions. Zbl 0891.41021
Goh, Say Song; Lee, S. L.; Shen, Zuowei; Tang, W. S.
5
1998
On B-spline framelets derived from the unitary extension principle. Zbl 1267.42036
Shen, Zuowei; Xu, Zhiqiang
5
2013
Dimension of kernels of linear operators. Zbl 0754.41015
Jia, Rong-Qing; Riemenschneider, Sherman; Shen, Zuowei
5
1992
Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness. Zbl 1375.42051
Han, Bin; Jiang, Qingtang; Shen, Zuowei; Zhuang, Xiaosheng
5
2018
Multiscale representation of surfaces by tight wavelet frames with applications to denoising. Zbl 1346.42039
Dong, Bin; Jiang, Qingtang; Liu, Chaoqiang; Shen, Zuowei
5
2016
Degenerate kernel schemes by wavelets for nonlinear integral equations on the real line. Zbl 0853.65142
Shen, Zuowei; Xu, Yuesheng
4
1995
On ascertaining inductively the dimension of the joint kernel of certain commuting linear operators. Zbl 0999.47001
de Boor, Carl; Ron, Amos; Shen, Zuowei
4
1996
Recovering over-/underexposed regions in photographs. Zbl 1279.68328
Hou, Likun; Ji, Hui; Shen, Zuowei
4
2013
Wavelet based restoration of images with missing or damaged pixels. Zbl 1286.94017
Ji, Hui; Shen, Zuowei; Xu, Yuhong
4
2011
Tight wavelet frames in low dimensions with canonical filters. Zbl 1316.42037
Jiang, Qingtang; Shen, Zuowei
4
2015
Componentwise polynomial solutions and distribution solutions of refinement equations. Zbl 1176.41014
Bi, Ning; Han, Bin; Shen, Zuowei
4
2009
An analysis of wavelet frame based scattered data reconstruction. Zbl 1412.94261
Yang, Jianbin; Stahl, Dominik; Shen, Zuowei
4
2017
Image restoration: a general wavelet frame based model and its asymptotic analysis. Zbl 1366.42035
Dong, Bin; Shen, Zuowei; Xie, Peichu
4
2017
Riesz bases in subspaces of \(L_2 (\mathbb{R}_+)\). Zbl 0997.46024
Goodman, T. N. T.; Micchelli, C. A.; Shen, Zuowei
3
2001
Solvability of systems of linear operator equations. Zbl 0793.41014
Jia, Rong-Qing; Riemenschneider, Sherman; Shen, Zuowei
3
1994
General interpolation on the lattice \(h\mathbb{Z}^ s\): Compactly supported fundamental solutions. Zbl 0822.41029
Riemenschneider, Sherman D.; Shen, Zuowei
3
1995
Construction of compactly supported biorthogonal wavelets. Zbl 1061.42502
Riemenschneider, Sherman D.; Shen, Zuowei
3
1999
Compression with time-frequency localization filters. Zbl 1099.65153
Shen, Lixin; Shen, Zuowei
3
2006
Image deconvolution using a characterization of sharp images in wavelet domain. Zbl 1261.94011
Ji, Hui; Li, Jia; Shen, Zuowei; Wang, Kang
3
2012
Nonlinear approximation via compositions. Zbl 07209015
Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
3
2019
Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness. Zbl 1375.42051
Han, Bin; Jiang, Qingtang; Shen, Zuowei; Zhuang, Xiaosheng
5
2018
Image restoration: wavelet frame shrinkage, nonlinear evolution PDEs, and beyond. Zbl 1378.35159
Dong, Bin; Jiang, Qingtang; Shen, Zuowei
16
2017
Directional frames for image recovery: multi-scale discrete Gabor frames. Zbl 1380.42026
Ji, Hui; Shen, Zuowei; Zhao, Yufei
6
2017
An analysis of wavelet frame based scattered data reconstruction. Zbl 1412.94261
Yang, Jianbin; Stahl, Dominik; Shen, Zuowei
4
2017
Image restoration: a general wavelet frame based model and its asymptotic analysis. Zbl 1366.42035
Dong, Bin; Shen, Zuowei; Xie, Peichu
4
2017
Image restoration: a wavelet frame based model for piecewise smooth functions and beyond. Zbl 1339.65028
Cai, Jian-Feng; Dong, Bin; Shen, Zuowei
21
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
17
2016
Dual Gramian analysis: duality principle and unitary extension principle. Zbl 1326.42037
Fan, Zhitao; Ji, Hui; Shen, Zuowei
15
2016
Duality for frames. Zbl 1332.42024
Fan, Zhitao; Heinecke, Andreas; Shen, Zuowei
13
2016
Multiscale representation of surfaces by tight wavelet frames with applications to denoising. Zbl 1346.42039
Dong, Bin; Jiang, Qingtang; Liu, Chaoqiang; Shen, Zuowei
5
2016
Robust frame based X-ray CT reconstruction. Zbl 1374.92083
Li, Jia; Miao, Chuang; Shen, Zuowei; Wang, Ge; Yu, Hengyong
3
2016
Image recovery via geometrically structured approximation. Zbl 1382.94018
Ji, Hui; Luo, Yu; Shen, Zuowei
2
2016
Convergence analysis for iterative data-driven tight frame construction scheme. Zbl 1361.94006
Bao, Chenglong; Ji, Hui; Shen, Zuowei
13
2015
Data-driven multi-scale non-local wavelet frame construction and image recovery. Zbl 1331.68273
Quan, Yuhui; Ji, Hui; Shen, Zuowei
9
2015
Tight wavelet frames in low dimensions with canonical filters. Zbl 1316.42037
Jiang, Qingtang; Shen, Zuowei
4
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
2
2015
Data-driven tight frame construction and image denoising. Zbl 1336.94008
Cai, Jian-Feng; Ji, Hui; Shen, Zuowei; Ye, Gui-Bo
37
2014
Image restoration with mixed or unknown noises. Zbl 1380.94021
Gong, Zheng; Shen, Zuowei; Toh, Kim-Chuan
10
2014
Wavelet frame based algorithm for 3D reconstruction in electron microscopy. Zbl 1310.68215
Li, Ming; Fan, Zhitao; Ji, Hui; Shen, Zuowei
8
2014
X-ray CT image reconstruction via wavelet frame based regularization and Radon domain inpainting. Zbl 1308.94015
Dong, Bin; Li, Jia; Shen, Zuowei
22
2013
MRA-based wavelet frames and applications. Zbl 1344.94009
Dong, Bin; Shen, Zuowei
21
2013
Wavelet frame based multiphase image segmentation. Zbl 1281.65042
Tai, Cheng; Zhang, Xiaoqun; Shen, Zuowei
9
2013
On B-spline framelets derived from the unitary extension principle. Zbl 1267.42036
Shen, Zuowei; Xu, Zhiqiang
5
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
3
2013
Image restoration: total variation, wavelet frames, and beyond. Zbl 1277.35019
Cai, Jian-Feng; Dong, Bin; Osher, Stanley; Shen, Zuowei
73
2012
Wavelet frame based blind image inpainting. Zbl 1261.94006
Dong, Bin; Ji, Hui; Li, Jia; Shen, Zuowei; Xu, Yuhong
36
2012
Framelet-based blind motion deblurring from a single image. Zbl 1372.94029
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei
22
2012
Image deconvolution using a characterization of sharp images in wavelet domain. Zbl 1261.94011
Ji, Hui; Li, Jia; Shen, Zuowei; Wang, Kang
3
2012
Surveillance video processing using compressive sensing. Zbl 1242.94004
Jiang, Hong; Deng, Wei; Shen, Zuowei
2
2012
Wavelet frames and image restorations. Zbl 1228.42036
Shen, Zuowei
53
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
17
2011
Frame based segmentation for medical images. Zbl 1232.42032
Dong, Bin; Chien, Aichi; Shen, Zuowei
16
2011
Robust video restoration by joint sparse and low rank matrix approximation. Zbl 1234.68451
Ji, Hui; Huang, Sibin; Shen, Zuowei; Xu, Yuhong
15
2011
Adaptive multiresolution analysis structures and shearlet systems. Zbl 1283.42053
Han, Bin; Kutyniok, Gitta; Shen, Zuowei
15
2011
Wavelet frame based surface reconstruction from unorganized points. Zbl 1239.94007
Dong, Bin; Shen, Zuowei
9
2011
Tight periodic wavelet frames and approximation orders. Zbl 1221.42063
Goh, Say Song; Han, Bin; Shen, Zuowei
8
2011
Wavelet based restoration of images with missing or damaged pixels. Zbl 1286.94017
Ji, Hui; Shen, Zuowei; Xu, Yuhong
4
2011
Approximation of frame based missing data recovery. Zbl 1220.94005
Cai, Jian-Feng; Shen, Zuowei; Ye, Gui-Bo
2
2011
Small support spline Riesz wavelets in low dimensions. Zbl 1225.42024
Han, Bin; Mo, Qun; Shen, Zuowei
1
2011
A singular value thresholding algorithm for matrix completion. Zbl 1201.90155
Cai, Jian-Feng; Candès, Emmanuel J.; Shen, Zuowei
363
2010
Split Bregman methods and frame based image restoration. Zbl 1189.94014
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
162
2010
Simultaneous cartoon and texture inpainting. Zbl 1198.94021
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei
30
2010
Framelet based deconvolution. Zbl 1224.65316
Cai, Jianfeng; Shen, Zuowei
16
2010
Wavelet frame based scene reconstruction from range data. Zbl 1185.65029
Ji, Hui; Shen, Zuowei; Xu, Yuhong
9
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
63
2009
Linearized Bregman iterations for frame-based image deblurring. Zbl 1175.94010
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
58
2009
Dual wavelet frames and Riesz bases in Sobolev spaces. Zbl 1161.42018
Han, Bin; Shen, Zuowei
43
2009
Convergence of the linearized Bregman iteration for \(\ell _1\)-norm minimization. Zbl 1198.65103
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
41
2009
Convergence analysis of tight framelet approach for missing data recovery. Zbl 1172.94309
Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei
33
2009
Characterization of Sobolev spaces of arbitrary smoothness using nonstationary tight wavelet frames. Zbl 1180.42004
Han, Bin; Shen, Zuowei
14
2009
Simultaneously inpainting in image and transformed domains. Zbl 1168.94312
Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei
13
2009
Blind motion deblurring using multiple images. Zbl 1167.94307
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei
12
2009
Scattered data reconstruction by regularization in B-spline and associated wavelet spaces. Zbl 1181.41013
Johnson, Michael J.; Shen, Zuowei; Xu, Yuhong
10
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
95
2008
Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003
Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei
41
2008
Restoration of chopped and nodded images by framelets. Zbl 1161.94303
Cai, Jian-Feng; Chan, Raymond; Shen, Lixin; Shen, Zuowei
25
2008
Compactly supported symmetric \(C^\infty\) wavelets with spectral approximation order. Zbl 1161.42312
Han, Bin; Shen, Zuowei
18
2008
Pseudo-splines, wavelets and framelets. Zbl 1282.42035
Dong, Bin; Shen, Zuowei
52
2007
Deconvolution: a wavelet frame approach. Zbl 1120.65134
Chai, Anwei; Shen, Zuowei
34
2007
Wavelets with short support. Zbl 1119.42016
Han, Bin; Shen, Zuowei
31
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
Linear independence of pseudo-splines. Zbl 1100.42025
Dong, Bin; Shen, Zuowei
15
2006
Construction of biorthogonal wavelets from pseudo-splines. Zbl 1083.42028
Dong, Bin; Shen, Zuowei
13
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
45
2005
Wavelets from the loop scheme. Zbl 1129.42434
Han, Bin; Shen, Zuowei
17
2005
Tight frame: an efficient way for high-resolution image reconstruction. Zbl 1046.42026
Chan, Raymond H.; Riemenschneider, Sherman D.; Shen, Lixin; Shen, Zuowei
60
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
280
2003
Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127
Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei
62
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
17
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
Interpolatory wavelet packets. Zbl 0948.42021
Riemenschneider, Sherman D.; Shen, Zuowei
1
2000
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
30
1999
Compactly supported (bi)orthogonal wavelets generated by interpolatory refinable functions. Zbl 0937.65145
Ji, Hui; Shen, Zuowei
16
1999
Construction of compactly supported biorthogonal wavelets. Zbl 1061.42502
Riemenschneider, Sherman D.; Shen, Zuowei
3
1999
Refinable function vectors. Zbl 0913.42028
Shen, Zuowei
73
1998
Compactly supported tight affine spline frames in \(L_{2}(\mathbb{R}^{d})\). Zbl 0892.42018
Ron, Amos; Shen, Zuowei
49
1998
Convergence of multidimensional cascade algorithm. Zbl 0890.41005
Lawton, W.; Lee, S. L.; Shen, Zuowei
26
1998
Construction of Schauder decomposition on Banach spaces of periodic functions. Zbl 0891.41021
Goh, Say Song; Lee, S. L.; Shen, Zuowei; Tang, W. S.
5
1998
Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator. Zbl 0891.42018
Ron, Amos; Shen, Zuowei
314
1997
Weyl-Heisenberg frames and Riesz bases in \(L_2(\mathbb{R}^d)\). Zbl 0892.42017
Ron, Amos; Shen, Zuowei
116
1997
Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems. Zbl 0904.42025
Ron, Amos; Shen, Zuowei
81
1997
Stability and orthonormality of multivariate refinable functions. Zbl 0872.41003
Lawton, W.; Lee, S. L.; Shen, Zuowei
38
1997
Multidimensional interpolatory subdivision schemes. Zbl 0889.65005
Riemenschneider, Sherman D.; Shen, Zuowei
28
1997
...and 17 more Documents
all top 5

Cited by 2,048 Authors

68 Shen, Zuowei
43 Han, Bin
38 Christensen, Ole
27 Li, Song
26 Kim, Hong Oh
25 Huang, Ting-Zhu
25 Jiang, Qingtang
23 Kim, Rae Young
23 Li, Yunzhang
21 Ji, Hui
20 Shen, Lixin
19 Bownik, Marcin
18 Cai, Jian-Feng
18 Conti, Costanza
18 Yang, Shouzhi
17 Charina, Maria
17 Chui, Charles Kam-tai
17 Goh, Say Song
16 Dong, Bin
16 Shah, Firdous Ahmad
16 Sun, Wenchang
16 Zeng, Tie Yong
16 Zhao, Xile
16 Zhuang, Xiaosheng
15 Chen, Qingjiang
15 Han, Deguang
15 Lim, Jae Kun
15 Osher, Stanley Joel
15 Sun, Qiyu
14 Stöckler, Joachim
14 Zhang, Xiaoqun
13 Romani, Lucia
13 Skopina, Maria A.
13 Xu, Yuesheng
12 Chan, Raymond Hon-Fu
12 Li, Youfa
12 Ron, Amos
11 Donatelli, Marco
11 Gröchenig, Karlheinz
11 Lemvig, Jakob
11 Ma, Tian-Hui
10 Cabrelli, Carlos A.
10 Cui, Lihong
10 San Antolín, Angel
10 Yang, Jianbin
9 Cheng, Zhengxing
9 Gabardo, Jean-Pierre
9 Goodman, Timothy N. T.
9 Jia, Rong-Qing
9 Kutyniok, Gitta
9 Lu, Jian
9 Lv, Xiaoguang
9 Ng, Michael Kwok-Po
9 Paternostro, Victoria
9 Zhou, Dingxuan
8 Feichtinger, Hans Georg
8 He, Wenjie
8 Krivoshein, Aleksandr Vladimirovich
8 Li, Fang
8 Mo, Qun
8 Nielsen, Morten
8 Wen, Zaiwen
8 Yin, Wotao
7 Bhat, Mohammad Younus
7 Buccini, Alessandro
7 Casazza, Peter George
7 Chen, Dirong
7 Cheng, Lizhi
7 García, Antonio G.
7 Jakobsen, Mads Sielemann
7 Karoui, Abderrazek
7 Lai, Mingjun
7 Luef, Franz
7 Pang, Zhifeng
7 Protasov, Vladimir Yu.
7 Wei, Ke
7 Wu, Chunlin
7 Yang, Yufei
7 Zhang, Jianping
6 Burger, Martin
6 Fan, Qibin
6 Feng, Xiangchu
6 Goldfarb, Donald
6 Ji, Teng-Yu
6 Kamyabi-Gol, Rajab Ali
6 Kang, Myungjoo
6 Labate, Demetrio
6 Li, Dengfeng
6 Li, Qia
6 Ma, Feng
6 Pérez-Villalón, Gerardo
6 Reichel, Lothar
6 Shi, Zhi
6 Wang, Chuanlong
6 Wang, Jin
6 Yuan, Xiaoming
6 Zalik, Richard A.
6 Zhang, Zhihua
5 Ahmad, Owais
5 Bao, Chenglong
...and 1,948 more Authors
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Cited in 246 Serials

191 Applied and Computational Harmonic Analysis
62 Journal of Computational and Applied Mathematics
61 Journal of Approximation Theory
60 The Journal of Fourier Analysis and Applications
53 International Journal of Wavelets, Multiresolution and Information Processing
50 Advances in Computational Mathematics
44 Applied Mathematics and Computation
44 Journal of Scientific Computing
44 SIAM Journal on Imaging Sciences
41 Journal of Mathematical Analysis and Applications
31 Inverse Problems and Imaging
28 Mathematics of Computation
27 Proceedings of the American Mathematical Society
25 Linear Algebra and its Applications
25 Mathematical Problems in Engineering
22 Inverse Problems
21 Information Sciences
20 Journal of Mathematical Imaging and Vision
18 Journal of Functional Analysis
17 Computational Optimization and Applications
17 Science China. Mathematics
16 Chaos, Solitons and Fractals
15 Computers & Mathematics with Applications
15 Abstract and Applied Analysis
15 Acta Mathematica Sinica. English Series
14 Numerical Functional Analysis and Optimization
14 Multidimensional Systems and Signal Processing
14 Numerical Algorithms
14 Journal of Inequalities and Applications
13 Applicable Analysis
13 Transactions of the American Mathematical Society
12 Mathematical Programming. Series A. Series B
11 Journal of Computational Physics
11 Machine Learning
11 The Journal of Geometric Analysis
11 Applied Mathematical Modelling
11 SIAM Journal on Scientific Computing
11 International Journal of Computer Vision
10 Acta Applicandae Mathematicae
10 Computer Aided Geometric Design
10 Constructive Approximation
10 Neural Networks
9 Applied Mathematics. Series B (English Edition)
8 Numerische Mathematik
8 Circuits, Systems, and Signal Processing
8 Computational Statistics and Data Analysis
7 Applied Numerical Mathematics
7 Applied Mathematics Letters
7 SIAM Journal on Optimization
7 Computational and Applied Mathematics
7 Optimization Methods & Software
7 Foundations of Computational Mathematics
7 Journal of Machine Learning Research (JMLR)
6 Journal of Optimization Theory and Applications
6 SIAM Journal on Matrix Analysis and Applications
6 International Journal of Computer Mathematics
6 Pattern Recognition
6 Complex Analysis and Operator Theory
6 Electronic Journal of Statistics
6 Journal of the Operations Research Society of China
5 Journal of Multivariate Analysis
5 Neural Computation
5 Journal of Global Optimization
5 SIAM Journal on Mathematical Analysis
5 Journal of Applied Mathematics
5 Journal of Applied Mathematics and Computing
5 Multiscale Modeling & Simulation
5 Analysis and Applications (Singapore)
4 Bulletin of the Australian Mathematical Society
4 Journal of the Franklin Institute
4 Mathematische Nachrichten
4 Results in Mathematics
4 Science in China. Series A
4 Signal Processing
4 St. Petersburg Mathematical Journal
4 ETNA. Electronic Transactions on Numerical Analysis
4 Frontiers of Mathematics in China
4 Banach Journal of Mathematical Analysis
4 Mathematical Programming Computation
4 East Asian Journal on Applied Mathematics
3 Journal of Mathematical Physics
3 Mathematical Methods in the Applied Sciences
3 Rocky Mountain Journal of Mathematics
3 ACM Transactions on Mathematical Software
3 BIT
3 Monatshefte für Mathematik
3 Zeitschrift für Analysis und ihre Anwendungen
3 Numerical Linear Algebra with Applications
3 Journal of Inverse and Ill-Posed Problems
3 Data Mining and Knowledge Discovery
3 The ANZIAM Journal
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Mediterranean Journal of Mathematics
3 Asian-European Journal of Mathematics
3 Algorithms
3 Statistics and Computing
2 Israel Journal of Mathematics
2 Letters in Mathematical Physics
2 Linear and Multilinear Algebra
2 Advances in Mathematics
...and 146 more Serials
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Cited in 54 Fields

811 Harmonic analysis on Euclidean spaces (42-XX)
606 Numerical analysis (65-XX)
433 Information and communication theory, circuits (94-XX)
264 Operations research, mathematical programming (90-XX)
224 Computer science (68-XX)
207 Approximations and expansions (41-XX)
134 Linear and multilinear algebra; matrix theory (15-XX)
106 Functional analysis (46-XX)
102 Statistics (62-XX)
71 Operator theory (47-XX)
59 Calculus of variations and optimal control; optimization (49-XX)
58 Abstract harmonic analysis (43-XX)
41 Biology and other natural sciences (92-XX)
34 Partial differential equations (35-XX)
27 Difference and functional equations (39-XX)
26 Number theory (11-XX)
19 Probability theory and stochastic processes (60-XX)
16 Topological groups, Lie groups (22-XX)
16 Systems theory; control (93-XX)
15 Combinatorics (05-XX)
11 Integral equations (45-XX)
10 Integral transforms, operational calculus (44-XX)
10 Convex and discrete geometry (52-XX)
8 Real functions (26-XX)
8 Quantum theory (81-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 Global analysis, analysis on manifolds (58-XX)
5 Functions of a complex variable (30-XX)
5 Special functions (33-XX)
5 Mechanics of deformable solids (74-XX)
4 Measure and integration (28-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Fluid mechanics (76-XX)
3 Optics, electromagnetic theory (78-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Geophysics (86-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 Potential theory (31-XX)
2 Ordinary differential equations (34-XX)
2 Sequences, series, summability (40-XX)
2 Geometry (51-XX)
2 Manifolds and cell complexes (57-XX)
2 Classical thermodynamics, heat transfer (80-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)
1 Astronomy and astrophysics (85-XX)

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