Level set methods are a class of numerical algorithms for simulation
of dynamic implicit surfaces using partial differential equation (PDE).
Such approach has several advantages. For example, topological changes are
easily handled (without emotional involvement), geometric quantities such
as normals and curvatures are computed dynamically in a natural way, and
both curves in two dimensions and surfaces in three dimensions can be
handled with the same theory and numerical method.
The course will cover basic ideas and concepts in modeling dynamic
interfaces, numerical algorithms to Hamilton-Jacobi equations, and some
recent applications.
Instructor: Shingyu Leung
Email: masyleung @ ust.hk
Class webpage: http://www.math.ust.hk/~masyleung/NCTS12.html
Lectures: August 20-22, 2012. 10am-12noon. Lecture Room B, National Center for Theoretical Sciences
4th Floor, The 3rd General Building, National Tsing Hua University.
References
Level Set Methods and Dynamic Implicit Surfaces, S. Osher and R. Fedkiw.
Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry,
Fluid Mechanics, Computer Vision and Materials Science, J.A. Sethian
Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations,
Osher, S., and Sethian, J.A., Journal of Computational Physics, 79, pp. 12--49, 1988. [Click here]
Toolbox of Level Set Methods, I. Mitchel. [Click here]
NCTS Summer Course on Scientific Computation -