A CMA-workshop on

Level Set Methods and Applications

Oslo, Sep. 9-10, 2003

(A list of participants can be found here.)

Hosted by:
The Centre of Mathematics for Applications, University of Oslo, Norway

Introduction:
Level set methods (and fast marching type methods) are numerical techniques that are designed to track the evolution of interfaces. They have been introduced by Osher and Sethian in 1988, and have found numerous applications, including semiconductor manufacturing, shortest path algorithms, collision avoidance of airplanes, robotics, image processing, computer vision, computer graphics, fluid dynamics, and flow in porous media. On the mathematical side there is deep connection between level set methods and the theory of viscosity solutions of nonlinear partial differential equations.

Time and place:
The workshop starts on

Tuesday September 9, 13.00, and ends on
Wednesday September 10, 1215.

The workshop will take place in the CMA seminar room (B1036) in the Niels Henrik Abel building (mathematics building) on the 10th. floor.

All persons who are interested are welcome to attend this informal workshop.

Preliminary Program:

Tuesday Sep. 9.

1300-1345: Richard Tsai (Princeton University) Title: "A Brief Introduction to Level Set Methods". Abstract.
1345-1400: Break.
1400-1445: Xue-Cheng Tai (University of Bergen). Title: "A level set method for solving free boundary problems associated with obstacles". Abstract.
1445-1500: Break.
1500-1530: Inga Berre (University of Bergen). Title: "Multiscale permeability estimation using a level set parameterization". Abstract.
1530-1600: Martin Reimers (University of Oslo). Title: "Computing Geodesic Distance Functions on 3D Triangle Meshes". Abstract.
1600-1630: Johan Lie (University of Bergen). Title: "A Levelset Model for Constrained Optimization Problems, with Applications to Image Processing". Abstract.

Wednesday Sep. 10.

0900-0945: Richard Tsai (Princeton University). Title: "Level Set Methods for the Solution of First Order PDEs - From
Jacobi to Courant and Hilbert". Abstract.
0945-1000: Break.
1000-1030: Jostein Natvig (SINTEF Applied Mathematics). Title: "Fast computation of time-of-flight". Abstract.
1030-1100: Bjørn-Ove Heimsund (University of Bergen). Title: "Eulerian-Lagrangian methods for non-linear advection equations". Abstract.
1100-1115: Break.
1115-1145: Marius Lysaker (Univeristy of Bergen). Title: "A variant of the level set method and applications to image segmentation". Abstract.
1145-1215: Knut Waagan (Univeristy of Oslo). Title: "Weak boundary conditions for Hamilton-Jacobi equations". Abstract.

Organizing committee:
Kenneth Hvistendahl Karlsen (UiB/CMA)
Knut Mørken (UiO/CMA )
Xue-Cheng Tai (UiB)