Publications of Zuowei Shen

Publications of Zuowei Shen

    Papers

  1. 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
  2. Jainfeng Cai, Emmanuel. J. Candès, Zuowei Shen, A singular value thresholding algorithm for matrix completion, Submitted for publication. SVT.pdf
  3. Jianfeng Cai, Stanley Osher, Zuowei Shen, Split Bregman methods and frame based image restoration, Submitted for publication. Image_Restoration.pdf
  4. 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
  5. Jianfeng Cai, Zuowei Shen, Framelet based deconvolution, Journal of Computational Mathematics , xxx (200x), xxx-xxx. deconvolution2.pdf
  6. 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
  7. 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
  8. 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
  9. 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
  10. Jianfeng Cai, Raymond Chan, Lixing Shen, Zuowei Shen, Simultaneously inpainting in image and transformed domains, Numerische Mathematik, 112(4) (2009), 509-533. inpainting3.pdf
  11. 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
  12. 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
  13. Jianfeng Cai, Stanley Osher, Zuowei Shen, Linearized Bregman iterations for compressed sensing, Mathematics of Computation, 78 (2009), 1515-1536. compressed_sensing.pdf
  14. Bin Han, Zuowei Shen, Dual wavelet frames and Riesz bases in Sobolev spaces, Constructive Approximation, 29(3) (2009), 369-406. Sobolev_wavelet.pdf
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. Jianfeng Cai, Raymond Chan, Zuowei Shen, A framelet-based image inpainting algorithm, Applied and Computational Harmonic Analysis, 24 (2008), 131-149. inpainting_1.pdf
  22. 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.
  23. 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
  24. Anwei Chai, Zuowei Shen, Deconvolution: A wavelet frame approach, Numerische Mathematik, 106 (2007), 529-587. deconvolution.pdf
  25. 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
  26. Ning Bi, Bin Han, Zuowei Shen, Examples of refinable componentwise polynomials, Applied and Computational Harmonic Analysis, 22 (2007), 368-373. BiHanShen.pdf
  27. 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
  28. Bin Dong, Zuowei Shen, Pseudo-splines, wavelets and framelets, Applied and Computational Harmonic Analysis, 22 (1) (2007), 78-104. pseudospline1.pdf
  29. Bin Dong, Zuowei Shen, Construction of biorthogonal wavelets from pseudo-splines, Journal of Approxipation Theory, 138 (2) (2006) 211-231. pseudospline2.pdf
  30. Bin Dong, Zuowei Shen, Linear independence of pseudo-splines, Proceedings of the American Mathematical Society , 134(9) (2006) 2685-2694. pseudospline3.pdf
  31. 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
  32. 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
  33. Bin Han, Zuowei Shen, Wavelets with short support, SIAM Journal on Mathematical Analysis, 38(2) (2006), 530-556. s_wavelet.pdf
  34. 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
  35. Bin Han, Zuowei Shen, Wavelets from the Loop scheme, Journal of Fourier Analysis and Applications, 11(6) (2005), 615-637. loop.pdf
  36. Amos Ron, Zuowei Shen, Generalized shift invariant systems, Constructive Approximation, 22 (2005), 1-45. gs.pdf
  37. 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
  38. 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
  39. 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.
  40. Markus Hegland, Ole M. Nielsen, Zuowei Shen, Multidimensional smoothing using hyperbolic interpolatory wavelets, Electronic Transactions on Numerical Analysis, 17 (2004), 168-180. hns.pdf
  41. 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
  42. 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
  43. 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
  44. 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
  45. 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
  46. 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
  47. 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
  48. 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
  49. 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
  50. 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
  51. Amos Ron, Zuowei Shen, The Sobolev regularity of refinable functions, Journal of Approximation Theory, 106 (2000) 185-225. regularity.ps
  52. 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
  53. 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
  54. S. D. Riemenschneider, Zuowei Shen, Interpolatory wavelet packets, Applied and Computational Harmonic Analysis, 8 (2000), 320-324. packet.ps
  55. 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
  56. Hui Ji, Zuowei Shen, Compactly supported (bi)orthogonal wavelets generated by interpolatory refinable functions, Advances in Computational Mathematics,11 (1999), 81-104. ubiorth.ps
  57. Qingtang Jiang, Zuowei Shen, On existence and weak stability of matrix refinable functions, Constructive Approximation, 15, (1999), 337-353. exist.ps
  58. 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
  59. 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
  60. 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.
  61. Zuowei Shen, Refinable function vectors, SIAM Journal on Mathematical Analysis, 29 (1998), 235-250. rvector.ps
  62. W. Lawton, S.L. Lee, Zuowei Shen, Convergence of multidimensional cascade algorithm, Numerische Mathematik, 78 (1998) 3, 427-438. lls4.ps
  63. Amos Ron, Zuowei Shen, Compactly supported tight affine spline frames in L2(Rd), Mathematics of Computation, 67 (1998), 191-207. tight.ps
  64. 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
  65. Amos Ron, Zuowei Shen, Weyl-Heisenberg frames and Riesz bases in $L_2(R^d)$, Duke Mathematical Journal, 89 (1997), 237-282. wh.ps
  66. 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
  67. Amos Ron, Zuowei Shen, Affine systems in L2(Rd): dual systems, Journal of Fourier Analysis and Applications, 3 (1997), 617-637. dframe.ps
  68. S. D. Riemenschneider and Zuowei Shen, Multidimensional interpolatory subdivision schemes, SIAM Journal on Numerical Analysis, 34 (1997), 2357-2381. intsub.ps
  69. 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
  70. 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
  71. W. Lawton, S.L. Lee, Zuowei Shen, An algorithm for matrix extension and wavelet construction, Mathematics of Computation, 65(1996), 723-737. lls2.ps
  72. 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
  73. 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
  74. 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
  75. Zuowei Shen, Non-tensor product wavelet packets in L2( Rs), SIAM Journal on Mathematical Analysis, 26(1995), 1061-1074.
  76. Zuowei Shen, Y. Xu, Degenerate kernel schemes by wavelets for nonlinear integral equation on real line, Applicable Analysis, 59(1995), 163-184.
  77. W. Lawton, S.L. Lee, Zuowei Shen, Characterization of compactly supported refinable splines, Advances in Computational Mathematics, 3(1995), 137-145. lls1.ps
  78. S. D. Riemenschneider, Zuowei Shen, Interpolation on the lattice hZs: Compactly supported fundamental solutions, Numerische Mathematik, 70(1995), 331-351. splineint.ps
  79. 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.
  80. 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
  81. K. Jetter, S.D. Riemenschneider, Zuowei Shen, Hermite interpolation on the lattice Zd, SIAM Journal on Mathematical Analysis 25(1994), 962-975.
  82. Rong Qing Jia, Zuowei Shen, Multiresolution and wavelets, Proceedings of the Edinburgh Mathematical Society 37(1994), 271-300. mw.ps
  83. 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.
  84. 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
  85. Rong Qing Jia, S. D. Riemenschneider, Zuowei Shen, Dimension of kernels of linear operators, American Journal of Mathematics 114(1992), 157-184.
  86. S. D. Riemenschneider, Zuowei Shen, Wavelets and pre-wavelets in low dimensions, Journal of Approximation Theory 71(1992), 18-38. prewavelet.ps
  87. Zuowei Shen, Dimension of certain kernel spaces of linear operators, Proceedings of the American Mathematical Society 112(1991), 381-390.
  88. 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.
  89. Zuowei Shen, Birkhoff interpolation by Chebyshevian splines, Approximation Theory and its Applications 6(1990), 59-77.
  90. 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

  1. 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).
  2. 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).
  3. Special Issues on Mathematical Imaging (I), Applied and Computational Harmonic Analysis, 23 (1), 2007 (edited by Raymond Chan, Tony Chan and Zuowei Shen).
  4. Special Issues on Mathematical Imaging (II), Applied and Computational Harmonic Analysis, 24 (2), 2008 (edited by Raymond Chan, Tony Chan and Zuowei Shen).