Publications of Zuowei Shen
Publications of Zuowei Shen
Papers
-
Bin Dong, Aichi Chien, Zuowei Shen, Stanley Oshe,
A new multiscale representation for shapes and its application to blood vessel recovery,
Submitted for publication.
MSRInpainting.pdf
-
Jainfeng Cai, Emmanuel. J. Candès, Zuowei Shen, A singular value thresholding algorithm
for matrix completion,
Submitted for publication.
SVT.pdf
- Jianfeng Cai, Stanley Osher, Zuowei Shen,
Split Bregman methods and frame based image
restoration,
Submitted for publication.
Image_Restoration.pdf
- Herwig Wendt, Patrice Abry, Stephane Jaffard, Hui Ji, Zuowei Shen,
Wavelet Leader multifractal analysis for texture classification,
IEEE International Conference on Image Processing (ICIP)
Cairo, Egypt, 2009.
classification.pdf
- Jianfeng Cai, Zuowei Shen, Framelet based deconvolution,
Journal of Computational Mathematics
, xxx (200x), xxx-xxx.
deconvolution2.pdf
- Jianfeng Cai, Hui Ji, Chaoqiang Liu, Zuowei Shen,
Blind motion deblurring using multiple images,
Journal of Computational Physics
, xxx (200x), xxx-xxx.
blind_deblurring1.pdf
-
M. J. Johnson, Zuowei Shen and Yuhong Xu,
Scattered data reconstruction by regularization in B-spline and associated
wavelet spaces,
Journal of Approxipation Theory,
xxx (200x), xxx-xxx.
scatter_data.pdf
- Jianfeng Cai, Stanley Osher, Zuowei Shen,
Convergence of the linearized Bregman iteration for l_1-norm
minimization,
Mathematics of Computation,
xxx (200x), xxx-xxx.
COS.pdf
- Bin Han, Zuowei Shen, Characterization of Sobolev spaces of
arbitrary smoothness using nonstationary tight wavelet frames,
Israel Journal of Mathematics ,
xxx (200x), xxx-xxx.
Nonstationary2.pdf
-
Jianfeng Cai, Raymond Chan, Lixing Shen, Zuowei Shen, Simultaneously inpainting in image and transformed domains,
Numerische Mathematik,
112(4) (2009),
509-533.
inpainting3.pdf
- Jianfeng Cai, Raymond Chan, Lixin Shen, Zuowei Shen,
Convergence analysis of tight framelet approach for missing data
recovery,
Advances in
Computational Mathematics,
31 (2009), 87-113.
inpainting2.pdf
- Ning Bi, Bin Han, Zuowei Shen,
Componentwise polynomial solutions and distribution solutions of
refinement equation,
Applied and Computational Harmonic Analysis, 27 (1) (2009),
117-123.
BiHanShen2.pdf
- Jianfeng Cai, Stanley Osher, Zuowei Shen,
Linearized Bregman iterations for compressed sensing,
Mathematics of Computation,
78 (2009), 1515-1536.
compressed_sensing.pdf
- Bin Han, Zuowei Shen, Dual wavelet frames and Riesz bases in Sobolev spaces,
Constructive Approximation,
29(3) (2009), 369-406.
Sobolev_wavelet.pdf
- Jianfeng Cai, Stanley Osher, Zuowei Shen,
Linearized Bregman iteration for frame based image deblurring, SIAM Journal on Imaging Sciences , 2(1) (2009), 226-252.
Deblurring.pdf
- Jianfeng Cai, Hui Ji, Chaoqiang Liu, Zuowei Shen,
Blind motion deblurring from a single image using sparse approximation,
IEEE Conference on Computer Vision and Pattern Recognition (CVPR),
Miami, 2009.
blind_deblurring3.pdf
- Jianfeng Cai, Hui Ji, Chaoqiang Liu, Zuowei Shen, High-quality curvelet-based motion deblurring using an image pairi,
IEEE Conference on Computer Vision and Pattern Recognition (CVPR),
Miami, 2009.
blind_deblurring2.pdf
- Bin Han, Zuowei Shen, Compactly supported symmetric C^\infty wavelets
with spectral approximation order,
SIAM Journal
on Mathematical Analysis,
40(3) (2008), 905-938.
nonstationary1.pdf
- Nira Dyn, Kai Hormann, Malcolm A. Sabin, Zuowei Shen,
polynomial reproduction by symmetric subdivision schemes,
Journal of Approxipation Theory,
155(1) (2008), 28-42.
pseudospline4.pdf
- Jianfeng Cai, Raymond Chan, Lixin Shen, Zuowei Shen,
Restoration of chopped and nodded images by framelets,
SIAM Journal on Scientific Computing, 30(3) (2008)
1205-1227.
image_restoration.pdf
- Jianfeng Cai, Raymond Chan, Zuowei Shen, A framelet-based image
inpainting algorithm,
Applied and Computational Harmonic Analysis, 24 (2008),
131-149.
inpainting_1.pdf
-
Zuowei Shen, Shayne Waldorn, Scattered data interpolation by box splines,
Study in Advanced Mathematics, AMS/IP Vol 42 (ICCM2004 Proceedings, S.T. Yau eds) (2008) 749-767.
- Raymond Chan, Zuowei Shen, Tao Xia, A framelet algorithm for
enchancing video stills,
Applied and Computational Harmonic Analysis, 23(2) (2007),
153-170.
video.pdf
- Anwei Chai, Zuowei Shen,
Deconvolution: A wavelet frame approach,
Numerische Mathematik,
106 (2007),
529-587.
deconvolution.pdf
- Bao Liu, S. D. Riemenschneider, Zuowei Shen, A Fast adaptive
time-frequency analysis method and its application in
vibration analysis, Journal of Vibration and Acoustics of ASME(Trans. ASME)
129 (2), (2007), 169-178.
lrs.pdf
- Ning Bi, Bin Han, Zuowei Shen, Examples of refinable componentwise
polynomials,
Applied and Computational Harmonic Analysis, 22 (2007),
368-373.
BiHanShen.pdf
- Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Zuowei Shen, A pair of
orthogonal frames,
Journal of Approxipation Theory,
147 (2) (2007) 196-204.
orth_frames.pdf
- Bin Dong, Zuowei Shen,
Pseudo-splines, wavelets and framelets,
Applied and Computational Harmonic Analysis, 22 (1) (2007),
78-104.
pseudospline1.pdf
- Bin Dong, Zuowei Shen, Construction of biorthogonal wavelets from
pseudo-splines,
Journal of Approxipation Theory,
138 (2) (2006) 211-231.
pseudospline2.pdf
- Bin Dong, Zuowei Shen, Linear independence of pseudo-splines,
Proceedings of the American Mathematical Society
, 134(9) (2006) 2685-2694.
pseudospline3.pdf
- Cho-Chun Cheng, Wen-Liang Hwang, Zuowei Shen, Tao Xia, Subjective
and objective comparison of advanced motion compensation methods for
block artifact reduction in a 3-D wavelet coding system, IEEE
Transactions on Circuits and Systems for Video
Technology, 16 (9) (2006), 1134-1141.
3D.pdf
- Say Song Goh, Zhi Yuan Lim, Zuowei Shen,
Symmetric and antisymmetric tight wavelet frames,
Applied and Computational Harmonic Analysis, 20(3) (2006),
411-421.
symmetric.pdf
- Bin Han, Zuowei Shen, Wavelets with short support,
SIAM Journal
on Mathematical Analysis, 38(2) (2006), 530-556.
s_wavelet.pdf
-
Lixin Shen, Zuowei Shen, Compression with time-frequency localization
filters, Wavelets and Splines, Athens , G.Chen, M. Lai
eds, Nashboro Press, (2006) 428-443.
compression.pdf
- Bin Han, Zuowei Shen, Wavelets from the Loop scheme,
Journal of Fourier Analysis and Applications, 11(6) (2005),
615-637.
loop.pdf
- Amos Ron, Zuowei Shen, Generalized shift invariant systems,
Constructive Approximation,
22 (2005), 1-45.
gs.pdf
-
Cho-Chun Cheng, Wen-Liang Hwang, Zuowei Shen, Tao Xia, Advanced motion
compensation techniques for blocking artifacts reduction in 3-D video
coding systems, IEEE International Conference on Image
Processing (ICIP), 209-212, Genova, Italy, Sept. 2005.
chsx.pdf
- Raymond Chan, Zuowei Shen, Tao Xia, Resolution enhancement for
video clips: tight frame approach, IEEE International
Conference on Advanced Video and Signal-Based Surveillance , 406-410,
Como, Italy, Sept. 2005.
csx.pdf
- Cho-Chun Cheng, Wen-Liang Hwang, Zuowei Shen, Tao Xia, A hybrid motion
compensated 3-D video coding system for blocking artifacts, Proceedings
of Pacific Rim Conference on Multimedia, 535--546,
Jeju, Korea, November 2005.
- Markus Hegland, Ole M. Nielsen, Zuowei Shen,
Multidimensional smoothing using hyperbolic interpolatory wavelets,
Electronic Transactions on Numerical Analysis, 17
(2004), 168-180.
hns.pdf
- Raymond Chan, S. D. Riemenschneider, Lixin Shen, Zuowei Shen,
Tight Frame: An efficient way for high-resolution image reconstruction,
Applied and Computational Harmonic Analysis, 17 (2004),
91-115.
crss1.pdf
- Raymond Chan, S.D. Riemenschneider, Lixin
Shen, Zuowei Shen, High-resolution image reconstruction with
displacement errors: a framelet approach, International Journal
of Imaging System and
Technology, 14 (2004), 91-104.
crss2.pdf
- Raymond Chan, Tony Chan, Lixin Shen, Zuowei Shen,
Wavelet algorithms for high-resolution image reconstruction,
SIAM Journal on Scientific Computing, 24 (2003) 1408-1432.
cs1.pdf
- Raymond Chan, Tony Chan, Lixin Shen, Zuowei Shen,
Wavelet deblurring algorithms for sparially varying blur from
high-resolution image reconstruction,
Linear Algebra and Its Applications, 366 (2003) 139-155.
cs2.pdf
- Ingrid Daubechies, Bin Han, Amos Ron, Zuowei Shen,
Framelets:MRA-based constructions of wavelet frames,
Applied and Computational Harmonic Analysis, 14 (2003), 1-46.
dhrs.pdf
- Amos Ron, Zuowei Shen,
The wavelet dimension function is the trace function of a shift invariant
system,
Proceedings of the American Mathematical Society
, 131(5) (2003) 1385-1398.
dim1.pdf
- Xuming He, Lixin Shen, Zuowei Shen,
A data-adaptive knot selection scheme for fitting
splines, IEEE Signal Processing Letters
, 8(5) (2001) 137-139.
spline.ps
- T. N. T. Goodman, C. A. Micchelli, Zuowei Shen,
Riesz bases in subspaces of $L_2(R_+)$,
Constructive Approximation, 17 (2001), 39-46.
gms.ps
- Amos Ron, Zuowei Shen, Kim Chuan Toh,
Computing the Sobolev regularity of refinable functions by Arnoldi
method, SIAM Journal
on Matrix Analysis and Applications, 23 (2001) 57-76.
regularity2.ps
- Raymond Chan, Tony Chan, Lixin Shen, Zuowei Shen,
A wavelet method for high-resolution image reconstruction with displacement
errors, Proceedings of the 2001 International Symposium of Intelligent
Multimedia, Video and Speech Processing , (2001) 24-27.
cs3.pdf
- Amos Ron, Zuowei Shen,
The Sobolev regularity of refinable functions, Journal
of Approximation Theory, 106 (2000) 185-225.
regularity.ps
-
Rong Qing Jia, Qingtang Jiang, Zuowei Shen,
Convergence of cascade algorithms associated with
nonhomogeneous refinement equations,
Proceedings of the
American Mathematical Society, 129 (2000), 415-427.
jjs1.ps
-
Rong Qing Jia, Qingtang Jiang, Zuowei Shen,
Distributional solutions of nonhomogeneous
discrete and continuous refinement equations, SIAM Journal
on Mathematical Analysis, 32 (2000), 420-434.
jjs2.ps
- S. D. Riemenschneider, Zuowei Shen,
Interpolatory wavelet packets, Applied and Computational
Harmonic Analysis, 8 (2000), 320-324.
packet.ps
- Hui Ji, S. D. Riemenschneider, Zuowei Shen,
Multivariate compactly supported fundamental refinable functions,
duals and biorthogonal wavelets,
Studies in Applied
Mathematics,102 (1999), 173-204.
mbiorth.ps
- Hui Ji, Zuowei Shen, Compactly supported (bi)orthogonal wavelets
generated by interpolatory refinable functions,
Advances in
Computational Mathematics,11 (1999), 81-104.
ubiorth.ps
- Qingtang Jiang, Zuowei Shen, On existence and weak stability of matrix refinable
functions, Constructive Approximation,
15, (1999), 337-353.
exist.ps
- S.D. Riemenschneider, Zuowei Shen,
Construction of compactly supported biorthogonal wavelets
in $L_2(R^d)$, Physics and modern topics in mechanical and
electrical engineering , (1999) N. E. Mastorakis eds, World Scientific
and Engineering Society Press, 201-206.
biorthI.ps
-
S.D. Riemenschneider, Zuowei Shen,
Construction of compactly supported biorthogonal wavelets
in $L_2(R^d)$ II, Wavelet applications signal and image
Processing VII} Proceedings of SPIE Volumn 3813,
(1999), Michael A. Unser, Akram Aldroubi, and Andrew F. Lain eds,
264-272.
biorthII.ps
- S.S. Goh, S.L. Lee, Zuowei Shen, W.S. Tang, Construction of Schauder
decomposition on Banach spaces of periodic functions,
Proceedings of the Edinburgh Mathematical Society,
41 (1998), 61-91.
- Zuowei Shen, Refinable function vectors,
SIAM Journal on Mathematical Analysis,
29 (1998), 235-250.
rvector.ps
- W. Lawton, S.L. Lee, Zuowei Shen, Convergence of multidimensional cascade
algorithm, Numerische Mathematik, 78 (1998) 3, 427-438.
lls4.ps
- Amos Ron, Zuowei Shen, Compactly
supported tight affine spline frames in L2(Rd),
Mathematics of Computation, 67 (1998), 191-207.
tight.ps
- Amos Ron, Zuowei Shen,
Construction of compactly supported affine frames in $L_2({\bf
R^d})$, Advances in wavelets, Ka-Sing Lau eds, Springer-Verlag,
(1998), 27-49.
hk.ps
- Amos Ron, Zuowei Shen,
Weyl-Heisenberg
frames and Riesz bases in $L_2(R^d)$, Duke Mathematical
Journal, 89 (1997), 237-282.
wh.ps
- Amos Ron, Zuowei Shen, Affine
systems in L2(Rd): the analysis of the analysis operator,
Journal of Functional Analysis, 148 (1997), 408-447.
affine.ps
- Amos Ron, Zuowei Shen, Affine
systems in L2(Rd): dual systems,
Journal of Fourier Analysis and Applications, 3 (1997),
617-637.
dframe.ps
- S. D. Riemenschneider
and Zuowei Shen, Multidimensional interpolatory subdivision schemes,
SIAM Journal on Numerical Analysis, 34 (1997),
2357-2381.
intsub.ps
- W. Lawton, S.L. Lee, Zuowei Shen,
Stability and orthonormality of multivariate refinable functions,
SIAM Journal on Mathematical Analysis,28, (1997), 999-1014.
lls3.ps
- Zuowei Shen, Extension of matrices with laurent polynomial entries,
Proceedings of the 15th IMACS World Congress
on Scientific Computation Modeling and Applied Mathematics,
Vol 1, Ashim Syclow eds., (1997), 57-61.
tmatrix.ps
- W. Lawton, S.L. Lee, Zuowei Shen, An algorithm for matrix extension
and wavelet construction, Mathematics of Computation, 65(1996),
723-737.
lls2.ps
- Carl de Boor, Amos Ron, Zuowei Shen, On ascertaining
inductively the dimension of the joint
kernel of certain commuting linear operators II, Advances
in Mathematics, 123 (1996), 223-242.
ker2.ps
- Carl de Boor, Amos Ron, Zuowei Shen,
On ascertaining inductively the dimension of the
joint kernel of certain commuting linear operators,
Advances in Applied Mathematics, 17(1996), 209-250.
ker.ps
- Amos Ron, Zuowei Shen, Frames
and stable bases for shift invariant subspaces of
L2(Rd),
Canadian Journal of Mathematics, 47(1995), 1051-1094.
frame1.ps
- Zuowei Shen, Non-tensor product wavelet packets in L2( Rs),
SIAM Journal on Mathematical Analysis, 26(1995), 1061-1074.
- Zuowei Shen, Y. Xu, Degenerate kernel schemes by wavelets for nonlinear
integral equation on real line, Applicable Analysis, 59(1995),
163-184.
- W. Lawton, S.L. Lee, Zuowei Shen, Characterization of compactly supported
refinable splines, Advances in Computational Mathematics, 3(1995),
137-145.
lls1.ps
- S. D. Riemenschneider, Zuowei Shen, Interpolation
on the lattice hZs: Compactly
supported fundamental solutions, Numerische Mathematik, 70(1995),
331-351.
splineint.ps
- S.S. Goh, S.L. Lee, Zuowei Shen, W.S. Tang, Multilevel projections on
spaces of periodic functions,
Proceedings of the Second Asian Mathematical Conference.
S. Tangmanee and E Schulz eds, World Scientific Publishing,
Singapore, (1995), 22-29.
- Amos Ron, Zuowei Shen, Gramian
analysis of affine basis, In Approximation Theory VIII-Vol2, Wavelets
and Multilevel Approximation, C. K. Chui and L. L. Schumaker editors,
World Scientific Publishing, New Jersey, (1995), 375-382.
frame2.ps
-
K. Jetter, S.D. Riemenschneider, Zuowei Shen, Hermite interpolation on the lattice Zd,
SIAM Journal on Mathematical Analysis 25(1994), 962-975.
- Rong Qing Jia, Zuowei Shen, Multiresolution and wavelets,
Proceedings of the Edinburgh Mathematical Society 37(1994),
271-300.
mw.ps
- Rong Qing Jia, S.D. Riemenschneider, Zuowei Shen, Solvability of
systems of linear operator equations, Proceedings
of the American Mathematical Society 120(1994), 815-824.
- Amos Ron, Zuowei Shen, Frames
and stable bases for subspaces of L2(Rd): the duality
principle of Weyl-Heisenberg sets, Proceedings of the Lanczos Centenary
Conference Raleigh, NC, M. Chu, R. Plemmons, D. Brown, and D.
Ellison eds., SIAM Pub. (1993) 422-425.
duality.pdf
- Rong Qing Jia, S. D. Riemenschneider, Zuowei Shen,
Dimension of kernels of linear
operators, American Journal of Mathematics
114(1992), 157-184.
- S. D. Riemenschneider, Zuowei Shen, Wavelets and pre-wavelets in low dimensions, Journal of
Approximation Theory 71(1992), 18-38.
prewavelet.ps
-
Zuowei Shen, Dimension of certain kernel spaces of linear operators,
Proceedings of the American Mathematical Society 112(1991),
381-390.
- S. D. Riemenschneider, Zuowei Shen, Box splines, cardinal series, and wavelets, in Approximation
Theory and Functional Analysis, C.K. Chui eds., Academic Press, New
York, (1991), 133-149.
- Zuowei Shen, Birkhoff interpolation by Chebyshevian splines, Approximation
Theory and its Applications 6(1990), 59-77.
- Rong Qing Jia, S.D. Riemenschneider, Zuowei Shen,
Multivariate splines and dimensions of kernels of linear operators,
in Multivariate Approximation and Interpolation, W. Haussman and
Jetter eds., ISNM Vol. 94 , Birkhauser, Basel, (1990), 261-274.
Which is
cited?
Books and Special Issues Edited
- Gabor and Wavelet Frames, Lecture Notes Series,
Institute for Mathematical Sciences, National University of Singapore,
Vol 10, 2007, World Scientific (edited by Gay Say Song, Amos Ron
and Zuowei Shen).
- Mathematics and Computation in Imaging Science and Information
Processing, Lecture Notes Series,
Institute for Mathematical Sciences, National University of Singapore,
Vol 11, 2007, World Scientific (edited by Gay Say Song, Amos Ron
and Zuowei Shen).
- Special Issues on Mathematical Imaging (I),
Applied and Computational Harmonic Analysis,
23 (1), 2007 (edited by Raymond Chan, Tony Chan and Zuowei Shen).
- Special Issues on Mathematical Imaging (II),
Applied and Computational Harmonic Analysis,
24 (2), 2008 (edited by Raymond Chan, Tony Chan and Zuowei Shen).