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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.
"The book does give a representative picture of the flavor of the field today." Mathematical Reviews "It is a useful introduction to a remarkably dynamic area." Mathematics of Computation