HOME OVERVIEW APPLICATIONS INTERACTIVE APPLETS HISTORY OF THE METHODS/FLOW CHART PUBLICATIONS Technical Publications Downloadable Book First Edition Second Edition Popular Articles EDUCATIONAL MATERIAL ACKNOWLEDGEMENTS ABOUT THE AUTHOR/CV Copyright: 1996, 1999, 2006 J.A. Sethian

Level Set Methods and Fast Marching Methods Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science J.A. Sethian, Cambridge University Press, 1999 Cambridge Monograph on Applied and Computational Mathematics On-Line Version: Copyright Cambridge University Press, 1999 Cambridge Press: Book Ordering Next Page Jump off points: Preface to the Second Edition Introduction Part I: Equations of Motion for Moving Interfaces Part II: Theory and Algorithms Theory of Curve and Surface Evolution Viscosity Solutions and Hamilton--Jacobi Equations Traditional Techniques for Tracking Interfaces The non-linear wave equation Basic Algorithms for Interface Evolution Part III: Efficiency, Adaptivity, and Extensions Narrow Band Level Set Methods Fast Marching Methods Triangulated Versions of Level Set Methods Triangulated Fast Marching Methods Constructing Extension Velocities Tests of Basic Methods Part IV: Applications Geometry Grid Generation Image Processing Computer Vision Combustion, Solidification, Fluids, and Electromigration Computational Geometry and Computer-aided Design Optimality and First Arrivals Etching and Deposition in Microchip Fabrication Bibliography