Level Set Methods and Dynamic Implicit Surfaces

• Main Authors: Osher, Stanley (Author), Fedkiw, Ronald (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2003.
• Series: Applied Mathematical Sciences, 153
• Subjects: Mathematics.; Image processing.; Computer mathematics.; Continuum physics.; Mechanics.; Mechanics, Applied.; Computational Mathematics and Numerical Analysis.; Classical Continuum Physics.; Image Processing and Computer Vision.; Theoretical and Applied Mechanics.

This book is an introduction to level set methods and dynamic implicit surfaces. These are powerful techniques for analyzing and computing moving fronts in a variety of different settings. While the book gives many examples of the usefulness of the methods for a diverse set of applications, it also...

Table of Contents:

• Implicit Surfaces
• Implicit Functions
• Signed Distance Functions
• Level Set Methods
• Motion in an Externally Generated Velocity Field
• Motion Involving Mean Curvature
• Hamilton-Jacobi Equations
• Motion in the Normal Direction
• Constructing Signed Distance Functions
• Extrapolation in the Normal Direction
• Particle Level Set Method
• Codimension-Two Objects
• Image Processing and Computer Vision
• Image Restoration
• Snakes, Active Contours, and Segmentation
• Reconstruction of Surfaces from Unorganized Data Points
• Computational Physics
• Hyperbolic Conservation Laws and Compressible Flow
• Two-Phase Compressible Flow
• Shocks, Detonations, and Deflagrations
• Solid-Fluid Coupling
• Incompressible Flow
• Free Surfaces
• Liquid-Gas Interactions
• Two-Phase Incompressible Flow
• Low-Speed Flames
• Heat Flow.