Level set methods : evolving interfaces in geometry, fluid mechanics, computer vision, and materials science

Part I. The Theory of Moving Interfaces: 1. Theory of front evolution 2. Level set formulation Part II. Algorithms, Analysis, and Implementations of Level Set Methods: 3. Traditional techniques for tracking interfaces 4. Hyperbolic conservation laws 5. Approximating the level set equation 6. Viscosity solutions and Hamilton-Jacobi equations 7. A hierarchy of fast level set methods 8. A fast marching level set method 9. Extensions to the basic method Part III. Applications: 10. Geometry: curve/surface shrinkage and self-similar surfaces 11. Grid generation 12. Image enhancement and noise removal 13. Minimal surfaces and surfaces of prescribed curvature 14. Combustion, crystal growth, and two-fluid flow 15. Computer vision: shape detection and recognition 16. Applications of the fast marching level set method 17. Etching and deposition in microchip fabrication 18. New areas.