MATH 290J APPLIED MATHEMATICS
Winter 2005
Seminar 2: Current Literature in Applied Mathematics
Instructor: Luminita Vese
lvese@math.ucla.edu
Description:
In this weekly seminar, graduate students read and present papers from current literature
in applied mathematics.
Topics are (but not limited to): variational models, energy minimization,
non-linear partial differential equations,
inverse problems, numerical approximations, with
applications to image analysis, including medical imaging, free
boundary problems, non-linear elliptic problems.
Meeting time and location: Thursday 1-2pm, IPAM 1180
Graduate Students Participants:
- Enrolled students:
Linh Lieu, Triet Le, Jeremy Brandman, Eric Chung, Igor Yanovskiy, Ilhwan Jo.
- Other participants:
Lin He, Jinjun Xu,
Jason Chung, Nicolay Tanushev,
Julia Dobrosotskaya,
Ilhwan Jo, Ernie Esser, and Zhenkuan Pan (visiting scholar).
Credit: Students presenting in this seminar will receive credit.
List of papers presented in the seminar in the Winter quarter:
1) Introduction to the Mathematics of Computed Tomography, by Adel Faridani,
in Inside Out: Inverse Problems,
MSRI Publications, Vol. 27, 2003.
(Presented by Jeremy Brandman)
2) Image decomposition using total variation and div(BMO), by T. Le and L. Vese, UCLA CAM Report 04-36, June 2004.
(Presented by Triet Le)
3)
The calibration method for the Mumford-Shah functional and free-discontinuity problems, by Alberti G, Bouchitte G,
Dal Maso G,
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 16 (3): 299-333 MAR 2003.
(Presented by: Linh Lieu)
4) Enhanced electrical impedance tomography via the Mumford-Shah functional,
L. Rondi and F. Santosa,
ESAIM-CONTROL
OPTIMISATION AND CALCULUS OF VARIATIONS 6 (21): 517-538 2001
(Presented by: Eric Chung)
5) ActiveContours without Edges,
T. Chan and L. Vese, IEEE TIP 10 (2), Feb. 2001, pp. 266 -277.
(Presented by: Igor Yanovskiy)
6)
A Multiphase Level Set Framework for Motion Segmentation,
D. Cremers, LNCS Vol. 2695, 2003, pp. 599 - 614
(Presented by: Igor Yanovskiy)
7) Variational pairing of image segmentation and blind restoration
,
Bar L, Sochen N, Kiryati N, LNCS 3022: 166-177 2004.
(Presented by: Ilhwan Jo)