Publications

Articles 

Reports 


 

 

 

 

Recent Research Articles

2013
  • L. Hou and H. Ji, Band-limited wavelets and framelets in low dimensions, Journal of Fourier Analysis and Applications. 19(4), (2013) 731-761
  • Zuowei Shen and Zhiqiang Xu, On B-spline framelets derived from the unitary extension principle, SIAM Journal on Mathematical Analysis, 45(11) (2013), 127-151.
  • Bin Dong, Jia Li, and Zuowei Shen, X-ray CT image reconstruction via wavelet frame based regularization and radon domain inpainting, Journal of Scientific Computing, 54(2-3) (2013), 333-349
  • H. Ji, X. Yang, H. Ling and Y. Xu, Wavelet domain multi-fractal analysis for static and dynamic texture classification, IEEE Transactions on Image Processing, 22(1), (2013) 286-299
  • P. Li, D. Han and W. S. Tang, Centralizers and Jordan derivations for CSL subalgebras of von Neumann algebras, Journal of Operator Theory, 69 (2013), 117-133
2012
  • Jianfeng Cai, Bin Dong, Stanley Osher and Zuowei Shen, Image restoration: total variation, wavelet frames, and beyond, Journal of the American Mathematical Society, 25 (4) (2012), 1033-1089
  • Hong Jiang, Wei Deng, and Zuowei Shen, Surveillance video processing using compressive sensing, Inverse Problem and Imaging, 6 (2), (2012), 201-214
  • Bin Dong, and Zuowei Shen, MRA-based wavelet frames and applications: image segmentation and surface reconstruction, SPIE 2012 Defense, Security and Sensing, 8401 Article number:840102 DOI 10.1117/12.923203, (2012)
  • Jianfeng Cai, Hui Ji, Chaoqiang Liu, and Zuowei Shen, Framelet based blind motion deblurring from a single image, IEEE Transactions on Image Processing, 21(2), (2012), 562-572
  • Hui Ji, Jia Li, Zuowei Shen, and Kang Wang, Image deconvolution using a characterization of sharp images in wavelet domain, Applied and Computational Harmonic Analysis, 32(2), (2012), 295-304
  • Bin Dong, Hui Ji, Jia Li, Zuowei Shen, and Yuhong Xu, Wavelet frame based blind image inpainting, Applied and Computational Harmonic Analysis, 32(2), (2012), 268-279
  • Y. Xu, S. Huang, H. Ji and C. Fermuller, Scale-space texture description on SIFT-like textons, Computer Vision and Image Understanding, 116(9), (2012), 999-1013
  • H. Ji and K. Wang, Robust image deconvolution with an inaccurate blur kernel, IEEE Transactions on Image Processing, 21(4), (2012), 1624-1634
  • Bin Dong, and Zuowei Shen, Wavelet frame based surface reconstruction from unorganized points, Journal of Computational Physics, 230(22), (2011), 8247-8255
  • H. Ji and K. Wang, A two-stage approach to blind spatially-varying motion deblurring, IEEE CVPR, Rhode Island, 2012.
  • C. Bao, Y. Wu, H. Ling and H. Ji, Real time robust L1 tracker using accelerated proximal gradient approach, IEEE CVPR, Rhode Island, 2012.
  • Y. Xu, Y. Quan, Z. Zhang, H. Ji, M. Nishigaki, C. Fermuller and D. Dementhon, Contour based recognition, IEEE CVPR, Rhode Island, 2012.
  • Christensen, O and S S Goh, Pairs of dual periodic frames. Applied and Computational Harmonic Analysis, 33 (2012), 315-329.
  • P. Li, D. Han and W. S. Tang, Derivations on the algebras of operators in Hilbert C*-modules, Acta Mathematica Sinica, English Series, 28 (2012), 1615-1622
2011
  • Bin Dong, and Zuowei Shen, Wavelet frame based surface reconstruction from unorganized points, Journal of Computational Physics, 230(22), (2011), 8247-8255
  • Bin Han, Gitta Kutyniko, and Zuowei Shen, Adaptive multiresolution analysis structures and shearlet systems, SIAM Journal on Numerical Analysis, 49 (5), (2011), 1921-1946
  • Hui Ji, Sibin Huang, Zuowei Shen, and Yuhong Xu, Robust video restoration by joint sparse and low rank matrix approximation, SIAM Journal on Imaging Sciences, 4 (4) (2011), 1122-1142
  • Hao Gao, Jianfeng Cai, Zuowei Shen, and Hongkai Zhao, Robust principle component analysis based four-dimensional computed tomography, Physics in Medicine and Biology, 56(11) (2011), 3181-3198
  • Zuowei Shen, Kim-Chuan Toh and Sangwoon Yun, An accelerated proximal gradient algorithm for frame-based image restoration via the balanced approach, SIAM Journal on Imaging Sciences, 4 (2) (2011), 573-596
  • Bin Han, Qun Mo and Zuowei Shen, Small support spline Riesz wavelets in low dimensions, Journal of Fourier Analysis and Applications, 17(4), (2011), 535-566
  • Say Song Goh, Bin Han and Zuowei Shen, Tight periodic wavelet frames and approximation orders, Applied and Computational Harmonic Analysis, 31, (2011), 228-248
  • Jianfeng Cai, Zuowei Shen and Guibo Ye, Approximation of frame based missing data recovery, Applied and Computational Harmonic Analysis, 31(2), (2011), 185-204
  • Hui Ji, Zuowei Shen and Yuhong Xu, Wavelet frame based image restoration with missing/damaged pixels, East Asia Journal on Applied Mathematics , Vol 1 (2), (2011), 108-131
  • Y. Xu, Y. Quan, H. Lin and H. Ji, Dynamic texture classification using dynamic fractal analysis, 13th ICCV, Barcelona, Spain, 2011
  • D. Han, Q. Sun and W. S. Tang, Topological and Geometric Properties of Refinable Functions and MRA Affine Frames, Applied and Computational Harmonic Analysis, 30 (2011), 151-174
  • D. Han, P. Li and W. S. Tang, Frames and their associated $H_{F}^{p}$-subspaces, Advances in Computational Mathematics, 34 (2011), 185-200.
  • D. Han, P. Li, B. Meng and W. S. Tang, Operator valued frames and structured quantum channels, Science China Mathematics, 54 (2011), 2361-2372.
2010
  • Bin Dong, Aichi Chien and Zuowei Shen, Frame based segmentation for medical images, Communications in Mathematical Sciences, 32(4), (2010), 1724-1739
  • Bin Dong, and Zuowei Shen, MRA-based wavelet frames and applications, IAS/Park City Mathematics Series: The Mathematics of Image Processing, Vol 19, (2010), 7-158
  • Zuowei Shen, Wavelet frames and image restorations, Proceedings of the International Congress of Mathematicians, Vol IV, Hyderabad, India, (2010), Hindustan Book Agency, (Rajendra Bhatia eds), 2834-2863
  • Hui Ji, Chaoqiang Liu, Zuowei Shen, Yuhong Xu, Robust video denoising using low rank matrix completion, IEEE CVPR, San Francisco, 2010
  • Y. Li, C. Fermuller, Y. Aloimonos and H. Ji, Learning shift-invariant sparse representation of actions, IEEE CVPR, San Francisco, 2010
  • Y. Xu, X. Yang, H. Ling and H. Ji, A new texture descriptor using multifractal analysis in multi-orientation wavelet pyramid, IEEE CVPR, San Francisco, 2010
  • Jianfeng Cai, Raymond Chan, Lixin Shen, and Zuowei Shen, Tight frame based method for high-resolution image reconstruction, Contemporary Applied Mathematics, CAM 14, A. Damlamian and S. Jaffard eds, Higher Education Press (Beijing), (2010), 1-36
  • Jianfeng Cai, Raymond Chan, and Zuowei Shen, Simultaneous cartoon and texture inpainting, Inverse Problem and Imaging 4 (3), (2010), 379-395
  • Jianfeng Cai, Hui Ji, Fuchun Shang, Zuowei Shen, Inpainting for Compressed Images, Applied and Computational Harmonic Analysis, 29(3), (2010), 368-381
  • Bin Dong, Aichi Chien, Zuowei Shen, Stanley Osher, A new multiscale representation for shapes and its application to blood vessel recovery, SIAM Journal on Scientific Computing, 32(4) (2010), 1724-1739
  • C. Fermuller, H. Ji and A. Kitaoka, Illusory motion due to causal time filtering, Vision Research, 50 (3), (2010), 315-329
  • Hui Ji, Zuowei Shen, Yuhong Xu, Wavelet frame based scene reconstruction from range data, Journal of Computational Physics , 229(6), (2010), 2093-2108
  • Jainfeng Cai, Emmanuel. J. Cand�s, Zuowei Shen, A singular value thresholding algorithm for matrix completion, SIAM Journal on Optimization, 20 (4) (2010), 1956-1982
  • Jianfeng Cai, Zuowei Shen, Framelet based deconvolution, Journal of Computational Mathematics , 28(3) (2010), 289-308.
  • Goh, S S, S L Lee and K M Teo, Wavelets, multiwavelets and wavelet frames for periodic functions, 6th IMT-GT Conference on Mathematics, Statistics and its Applications (ICMSA2010), 6-21, 3-4 Nov 2010, Kuala Lumpur, Malaysia
  • Goh, S S, T N T Goodman and F Shang, Joint estimation of time delay and Doppler shift for band-limited signals. IEEE Transactions on Signal Processing, 58 (2010): 4583-4594
  • Chen, W and S S Goh, Band-limited refinable functions for wavelets and framelets. Applied and Computational Harmonic Analysis, 28 (2010): 338-345
  • Christensen, O and S S Goh, Pairs of oblique duals in spaces of periodic functions. Advances in Computational Mathematics, 32 (2010): 353-379
2009
  • Jianfeng Cai, Stanley Osher, Zuowei Shen, Split Bregman methods and frame based image restoration, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 8(2), (2009), 337-369.
  • 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.
  • Jianfeng Cai, Stanley Osher, Zuowei Shen, Convergence of the linearized Bregman iteration for l_1-norm minimization, Mathematics of Computation, 78 (2009), 2127-2136.
  • Bin Han, Zuowei Shen, Characterization of Sobolev spaces of arbitrary smoothness using nonstationary tight wavelet frames, Israel Journal of Mathematics , 172 (2009), 371-398.
  • Jianfeng Cai, Hui Ji, Chaoqiang Liu, Zuowei Shen, Blind motion deblurring using multiple images, Journal of Computational Physics , 228 (14), 2009, 5057-5071.
  • M. J. Johnson, Zuowei Shen and Yuhong Xu, Scattered data reconstruction by regularization in B-spline and associated wavelet spaces, Journal of Approximation Theory, 159 (2009), 197-223.
  • Jianfeng Cai, Raymond Chan, Lixing Shen, Zuowei Shen, Simultaneously inpainting in image and transformed domains, Numerische Mathematik, 112(4) (2009), 509-533.
  • 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.
  • 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.
  • Jianfeng Cai, Stanley Osher, Zuowei Shen, Linearized Bregman iterations for compressed sensing, Mathematics of Computation, 78 (2009), 1515-1536.
  • Bin Han, Zuowei Shen, Dual wavelet frames and Riesz bases in Sobolev spaces, Constructive Approximation, 29(3) (2009), 369-406.
  • Jianfeng Cai, Stanley Osher, Zuowei Shen, Linearized Bregman iteration for frame based image deblurring, SIAM Journal on Imaging Sciences , 2(1) (2009), 226-252.
  • Jianfeng Cai, Hui Ji, Chaoqiang Liu, Zuowei Shen, Blind motion deblurring from a single image using sparse approximation, IEEE CVPR, Miami, 2009.
  • Jianfeng Cai, Hui Ji, Chaoqiang Liu, Zuowei Shen, High-quality curvelet-based motion deblurring using an image pairi, IEEE CVPR, Miami, 2009.
  • Y. Xu, S. Huang, H. Ji and C. Fermuller, Combining powerful local and global statistics for texture description, IEEE CVPR, Miami, 2009
  • Goh, S S, T N T Goodman and S L Lee, Hybrid spline frames. Mathematics of Computation, 78 (2009), 1537-1551.
  • Goh, S S, T N T Goodman and S L Lee, Constructing tight frames of multivariate functions. Journal of Approximation Theory, 158 (2009), 49-68
  • M. Z. Nashed, Q. Sun and W. S. Tang, Average Sampling in $L^2$, Comptes Rendus de l' Academie des Sciences, Paris, Serie I Mathematiques, 347 (2009), 1007-1010.
  • S. L. Lee, Vector Fields for Mean Value Coordinates, SIAM J. Math. Anal., 40(6), (2009), 24372450.

Research Reports