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Very hot area with a wide range of applications; Gives complete numerical analysis and recipes, which will enable readers to quickly apply the techniques to real problems; Includes two new techniques pioneered by Osher and Fedkiw; Osher and Fedkiw are internationally well-known researchers in this area

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Preface Part I Implicit Surfaces Implicit Functions Signed Distance Functions Part II 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 Part III Image Processing and Computer Vision Image Restoration Snakes, Active Contours and Segmentation Reconstruction of Surfaces from Unorganized Data Points Part IV 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

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From the reviews:

S.J. Osher and R. Fedkiw

Level Set Methods and Dynamic Implicit Surfaces

"This book is an introduction to level set methods and dynamic implicit surfaces. While it gives many examples of the utility of the methods to a diverse set of applications, it also gives complete numerical analysis and recipes, which will enable users to quickly apply the techniques to real problems. A student or researcher working in mathematics, computer graphics, science, or engineering interested in any dynamic moving front, which might change its topology or develop singularities, will find this book interesting and useful."- ZENTRALBLATT MATH

"Over the past few decades, level set methods have found applications in astounding range of areas. The authors, having contributed so profoundly, are in an excellent position to write an authoritative text. ... Without overly much cumbersome apparatus, the text introduces into an active area of scientific computing in a very informative way." (H. Muthsam, Monatshefte für Mathematik, Vol. 145 (3), 2005)

"Level set methods have successfully been used for a wide range of applications since the pioneering paper of Osher and Sethian. This book is an excellent introduction to the field, allowing newcomers to quickly grasp the key ideas. It also covers, in sufficient detail, the level set approach to several problems arising in image processing and computational physics. ... This book is suitable for researchers interested in modeling interface motion, and would be an excellent book for a graduate level course in mathematics/engineering/science." (Tariq Aslam, Mathematics of Computation, Vol. 73 (247), 2004)

"This book is an introduction to level set methods and dynamic implicit surfaces. ... Together with many examples, the book also gives a complete description of numerical aspects which will enable users to quickly apply these techniques to real problems. ... A student or researcher working in mathematics, computer graphics, science or engineering and interested in dynamically moving fronts which might change their topology or develop singularities, will find this book interesting and useful." (V. M. Soundalgekar, Zentralblatt MATH, Vol. 1026, 2004)

"The book contains many pictures, several of them in color, which give a good sample of the results achieved. This is a stimulating book for those interested in modeling dynamic interfaces with numerical methods that can handle topology changes and singularities. Level set methods are such methods and have been successful in several applications." (Luiz Henrique de Figueiredo, Mathematical Reviews, 2003 j)

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