Publications on Wavelets, PDE's and Digitial Image Processing
- T. Chan ,
Y. Wang and H. M. Zhou,
"Denoising Natural Color Photos in Digital Photography" ,
submitted to IEEE Transcation on Image Processing.
- S. Jain, P. Tsiotras and H. M. Zhou,
" Adaptive Multiresolution Mesh Refinement for the Solution of Evolution PDE's" ,
submitted to SIAM J. on Scientific Computing.
- T. Chan , J. Shen and H. M. Zhou,
"A Total Variation Wavelet Inpainting Model with Multilevel Fitting Parameters" ,
in
the Proceedings to the SPIE Symposium on Advanced Signal Processing: Algorithms,
Architectures and Implementations VIII, Vol. 6313, San Diego, CA, August, 2006, Ed: F. Luk.
- Y. Wang and H. M. Zhou,
"A Total Variation Wavelet Algorithm for Medical Image Denoising" ,
the International Journal on Biomedical Imaging, Volume 2006,
article ID 89095, 6 pages, 2006. doi:10.1155/IJBI/2006/89095.
- T. Chan and H. M. Zhou,
"Total Variation Wavelet Thresholding" ,
accepted by the J. of Schientific Computing.
- T. Chan , J. Shen and H. M. Zhou,
"Total Variation Wavelet Inpainting" ,
Journal of Mathematical Imaging and Vision, Vol 25, Number 1/July, 2006, 107-125.
- T. Chan , H. M. Zhou and T. Zhou,
" A Recovery Bound for $H^1$ Based Wavelet Interpolations " ,
in the proceeding to the international conference on PDE-Based
Image Processing and Related Inverse Problems. Oslo, Norway, Aug 8-12, 2005.
- T. Chan and H. M. Zhou,
"ENO-wavelet Transforms and Some Applications" ,
in the book "Beyond Wavelets", editored by J. Stoeckler and G. V. Welland, Academic Press (2003).
- D. Dugatkin, H. M. Zhou, T. Chan and M. Effros,
"Lagrangian Optimization of a Group Testing for ENO Wavelets Algorithm" ,
in the proceeding to the Conference on Information Sciences and Systems,
Princeton University, March 20-22, 2002.
- T. Chan and H. M. Zhou,
"ENO-wavelet Transforms for Piecewise Smooth Functions" ,
SIAM J. Numer. Anal. Vol 40, No. 4 (2002), 1369--1404.
- T. Chan and H. M. Zhou,
"Total Variation Improved Wavelet Thresholding in Image Compression" ,
in the Proceedings to the International Conference on
Image Processing, Vancouver, BC, Canada, Sept. 10-13, 2000.
- T. Chan and H. M. Zhou,
"Optimal Construction of Wavelet Coefficients Using Total Variation Regularization in Image Compression" ,
CAM report 00-27, Mathematics Department, UCLA, July, 2000.
- T. Chan and H. M. Zhou,
"Adaptive ENO-wavelet Transforms and Its Application in Image Compression" ,
in the Proceedings to the 12th International Conference on Domain Decomposition
Methods, Chiba University, Chiba,Japan, Oct. 25-29, 1999.
- T. Chan and H. M. Zhou,
"Adaptive ENO-wavelet Transforms for Discontinuous Functions" ,
CAM report 99-21, Mathematics Department, UCLA, July, 1999.
- T. Chan and H. M. Zhou,
"Feature Preserving Lossy Image Compression Using Nonlinear PDE's" ,
in
the Proceedings to the SPIE Symposium on Advanced Signal Processing: Algorithms,
Architectures and Implementations VIII, Vol. 3461, San Diego, CA, July, 1998, Ed: F. Luk.
- T. Chan , H. M. Zhou and
R. Chan ,
"Continuation Method for Total Variation Denoising Problem" ,
in
the Proceedings to the SPIE Symposium on Advanced Signal Processing: Algorithms,
Architectures and Implementations VIII, Vol. 2563, San Diego, CA, July, 1995, Ed: F. Luk.
Publications on Stochastic Differential Equations
- S. N. Chow , W. X. Shen and H. M. Zhou,
"Dynamical Order in Systems of Coupled Noisy Oscillators" ,
accepted J. of Dynamics and Differential Equations.
- A. Adibi, M. Badieirostami, H. M. Zhou and S. N. Chow ,
"Efficient Simulation of Diffuse Light for the Analysis of Photonic Crystal Structures" ,
submitted to Optics Letter.
- M. Badieirostami, A. Adibi, H. M. Zhou and S. N. Chow ,
"Efficient modeling of spatially incoherent sources based on Wiener chaos
expansion method for the analysis of photonic crystal spectrometer" ,
in the Proceedings of SPIE
, Vol 6480, doi:10.1117/12.717273, Feb, 2007.
- S. N. Chow and H. M. Zhou,
"An Analysis of Phase Noise and Fokker-Planck Equations" ,
accepted by J. of Differential Equations.
- T. Hou, W. Luo, B. Rozovskii and H. M. Zhou,
"Wiener Chaos Expansions and Numerical Solutions of Randomly Forced Equations of Fluid Mechanics " ,
J. of Computational Physics, 217 687-706 (2006).
- T. Hou, H. Kim, B. Rozovskii and H. M. Zhou,
"Wiener Chaos Expansions and Numerical Solutions of Randomly Forced Equations of Fluid Mechanics " ,
the HERMIS Journal, the internationaljournal of computer mathematics and its applications, vol. 4, 2004.
Publications on Other Applied and Computational Mathematics Subjects
- R. H. Chan , S. F. Xu, and H. M. Zhou,
"On the Convergence Rate of a Quasi-Newton Method for Inverse Eigenvalue Problems",
SIAM J. Numer. Anal., 36 (1999), 436--441.
- Z. H. Teng and H. M. Zhou,
"The L_1 Convergence Rate of Particle Method for Scalar Conservation Laws",
Master Thesis, Math Dept., Peking University, China, 1994.
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