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Bin Dong
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UCLA Mathematics Department Office: IPAM 1129C |
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Education
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Ph.D. candidate, University
of California – Los Angeles, Los Angeles, CA, USA, 2005-present.
Advisor: Professor Stanley Osher.
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M.S., National University
of Singapore, Singapore, 2003-2005.
Thesis advisor: Professor Zuowei Shen; My thesis can be
obtained by clicking here,
which is basically a linear combination of my three papers below.
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B.S., Peking University,
Beijing, China, 1999-2003.
Research Interests
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Image Processing and 3D Shape Analysis.
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Numerical PDEs, Leve Set Methods.
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Wavelets and Approximation Theory.
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Optimization Problems (e.g. Compressive Sensing and
L1-Minimizations)
My CV: PDF.
Current Projects/Working Problems
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Capturing regions of interests in 3D biological surfaces
(e.g. cerebral aneurysm) via level set and
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Ultrasound image analysis (denoising, segmentation and
niddle tracking).
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Level set and
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Fast L_1 minimization and its applications in signal and
image processing.
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Solving optimization problems on closed surfaces (e.g.
unit sphere for HARDI images).
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Multiscaled representation (wavelet flavored) for 3D
(biological) shapes and its applications.
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Construction of MRA/wavelet-typed elements for solving
elliptic equations in 2D (right now is working on 2D Poisson equations, but the
ultimate goal is to do elliptic equations in 3D).
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Dual pseudo-splines.
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Wavelets/Framelets transform as fast solver for nonlinear
PDEs.
Publications
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Stanley Osher, Yu Mao, Bin Dong, Wotao Yin, Fast linearized
Bregman iterations for compressive sensing and sparse denoising, CAM-Report 08-37, June 2008.
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Bin Dong, Aichi Chien, Yu Mao, Jian Ye and Stanley Osher,
Level set based surface capturing in 3D medical images, accepted by MICCAI 2008.
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Bin Dong, Jian Ye, Stanley Osher and Ivo Dinov, Level set based nonlocal
surface restoration, accepted by MMS (CAM-Report 07-44), Oct. 2007.
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Bin Dong, Yu Mao, Ivo D. Dinov, Zhuowen Tu, Yonggang Shi,
Yalin Wang and Arthur W. Toga, Wavelet-Based
Representation of Biological Shapes, CAM-Report 07-36, Sep. 2007.
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Bin Dong and Zuowei Shen, Pseudo-splines,
wavelets and framelets, Appl.
Comput. Harmon. Anal., 22,
78-104, 2007.
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Bin Dong and Zuowei Shen, Linear
independence of pseudo-splines, Proc.
Amer. Math. Soc., 134, 2685-2694, 2006.
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Bin Dong and Zuowei Shen, Construction
of biorthogonal wavelets from pseudo-splines, J.
Approx. Theory, Vol 138 (2), 211-231, 2006.
Teaching (Winter 2008)
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Math 3B, Calculus for Life
Science Students (Instructor: Prof. Dai).
Office
Hour: 1pm-2pm , Thursday. Location: 1129C@IPAM (Institute for Pure and Applied
Mathematics)
Practice Exams (Note
that the practice exams are only for practice. It does NOT mean the real exams
will be of the same format or difficulty):
1. Midterm1
2. Midterm2
I won’t be able to make up a
practice final exam, because I have a final exam to practice on myself…
Good luck to you guys.
Hobbies:
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Sports: Basketball,
Hiking, Diving (only did it twice though…looking for someone to take a
class together), Watching “Man v.s. Wild” on Discovery Channel.
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PC Games: NFS series, Baldur’s Gate, Neverwinter Nights, Heroes Might and
Maggic, Starcraft/Brood War, Diablo, and pinball on Windows XP.
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Others: Watching TV
(favorite TVs: The office, friends, CSI -LV, south
park, six feet under, LOST)
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