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Bin Dong |
Department of Mathematics University of California, San Diego 9500 Gilman Drive La Jolla, CA, 92093-0112 Office: APM 5111; Phone: 858-534-4413 |
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Education
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Ph.D., Mathematics,
UCLA, Los Angeles, CA, USA, 2005 – 2009.
Advisor: Professor Stanley Osher.
My PhD Thesis: PDF
►
M.S., Mathematics,
NUS, Singapore, 2003-2005.
Advisor: Professor Zuowei
Shen.
My Master Thesis: PDF
►
B.S., Mathematics,
Peking University, Beijing, China, 1999-2003.
Research Interests
1. Level Set Methods.
2. 3D Shape/Surface Processing and Analysis.
3. Variational/Optimization Problems (e.g.
L1-Minimizations and Compressed Sensing)
4. Wavelets Theory and Applications.
My
CV:
PDF.
Current Projects
1. Fast algorithms for L1 minimization and their
applications in signal and image processing.
2. Multiscale representation (wavelet flavored
but level set and PDE based) for surfaces and its applications.
3. Biological shape analysis.
4. Level set and
5. Mathematical models for analyzing infrared
spectroscopy.
Publications
Under
Review
1. J. Ye, I. Yanovsky,
B. Dong, R. Gandlin, A. Brandt and S. Osher, Multigrid narrow band surface
reconstruction via level set functions, CAM-Report 09-98, 2009.
2. Yu Mao, Bin Dong
and Stanley Osher, A nonlinear
PDE-based method for sparse deconvolution, submitted, CAM-Report 09-69, 2009.
3. Bin Dong, Aichi
Chien, Zuowei Shen and Stanley Osher, A
new multiscale representation for shapes and its application to blood vessel
recovery, submitted, CAM-Report
09-50, revised on Sep. 30 2009.
Appeared or Accepted
1. Bin Dong, Aichi
Chien, Yu Mao, Jian Ye, Fernando Vinuela and Stanley Osher, Level set based brain aneurysm
capturing in 3D, accepted by Inverse Problems and Imaging (special issue in
medical image analysis), 2009.
2. Bin Dong, Eric
Savitsky and Stanley Osher, A Novel
Method for Enhanced Needle Localization Using Ultrasound-Guidance, accepted
by International Symposium on Visual Computing (ISVC2009), Nov 30-Dec 2, 2009.
3. Bin Dong, Yu Mao,
Ivo D. Dinov, Zhuowen Tu, Yonggang Shi, Yalin Wang and Arthur W. Toga, Wavelet-Based Representation of
Biological Shapes, accepted by International Symposium on Visual Computing
(ISVC2009), Nov 30-Dec 2, 2009..
4. Bin Dong, Nira Dyn
and Kai Hormann, Properties
of dual pseudo-splines (Institut fur Informatik, Technical Report 09-03), accepted by Appl. Comput.
Harmon. Anal., 2009.
5. Bin Dong, The implicit representation of
biological shapes and forms, Biomedical
Computation Review (issue: Spring 2009), Published by Simbios, the NIH
National Center for Physics-Based Simulation of Biological Structures, 2009.
6. Stanley Osher, Yu Mao, Bin Dong, Wotao Yin, Fast linearized Bregman iterations for
compressive sensing and sparse denoising, accepted by Communications in
Mathematical Sciences, Dec. 2008.
7. Bin Dong, Aichi Chien, Yu Mao, Jian Ye and
Stanley Osher, Level set based surface
capturing in 3D medical images, MICCAI
2008, 162-169, 2008.
8. Bin Dong, Jian Ye, Stanley Osher and Ivo
Dinov, Level set based
nonlocal surface restoration, MMS
Vol. 7(2), 589-598 (CAM-Report 07-44), 2008.
9. Bin Dong and Zuowei
Shen, Pseudo-splines,
wavelets and framelets, Appl.
Comput. Harmon. Anal., 22,
78-104, 2007.
10. Bin Dong and Zuowei Shen, Linear
independence of pseudo-splines, Proc.
Amer. Math. Soc., 134, 2685-2694, 2006.
11. Bin Dong and Zuowei Shen, Construction
of biorthogonal wavelets from pseudo-splines, J.
Approx. Theory, Vol. 138 (2), 211-231, 2006.
Teaching (Fall 2009)
► Math
20D (B00) (updated on 11/18/09)
Hobbies:
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Sports: Basketball, Hiking, Diving, Fishing (just started).
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PC Games: Baldur’s Gate, Neverwinter Nights, The Witcher, Heroes Might and Maggic,
Diablo (eagerly waiting for Diablo III), and pinball on Windows XP.
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Others: Watching TV (favorite TVs: The office, friends, CSI -LV,
south park, six feet under)
Last
updated: Sep 2009.