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

Abstract

Introduction 1. Formulations of interface propagation Part I. Theory and Algorithms: 2. Theory of curve and surface evolution 3. Hamilton-Jacobi equations and associated theory 4. Numerical approximations: first attempt 5. Numerical schemes for hyperbolic conservation laws 6. Algorithms for the initial and boundary value formulations 7. Efficient schemes: adaptivity 8. Triangulated versions of level set and fast marching method: extensions and variations 9. Tests of basic methods Part II. Applications: 10. Geometry 11. Grid generation 12 Image denoising 13. Computer vision: shape detection and recognition 14. Fluid mechanics and materials sciences: adding physics 15. Computational geometry and computer-aided-design 16. First arrivals, optimizations, and control 17. Applications to semi-conductor manufacturing 18. Comments, conclusions, future directions References Index.

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