Level Set Methods and Dynamic Implicit Surfaces | 
 enlarge | Authors: Stanley J. Osher, Ronald P. Fedkiw
Publisher: Springer
Category: Book
List Price: $84.95
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Rating:  10 reviews
Sales Rank: 288783
Media: Hardcover
Edition: 1
Pages: 296
Number Of Items: 1
Shipping Weight (lbs): 1.3
Dimensions (in): 9.2 x 6.3 x 0.8
ISBN: 0387954821
EAN: 9780387954820
Publication Date: October 31, 2002
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Product Description
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 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. The book begins with a description of implicit surfaces and their basic properties, then devises the level set geometry and calculus toolbox, including the construction of signed distance functions. Part II adds dynamics to this static calculus. Topics include the level set equation itself, Hamilton-Jacobi equations, motion of a surface normal to itself, re-initialization to a signed distance function, extrapolation in the normal direction, the particle level set method and the motion of co-dimension two (and higher) objects. Part III is concerned with topics taken from the fields of Image Processing and Computer Vision. These include the restoration of images degraded by noise and blur, image segmentation with active contours (snakes), and reconstruction of surfaces from unorganized data points. Part IV is dedicated to Computational Physics. It begins with one phase compressible fluid dynamics, then two-phase compressible flow involving possibly different equations of state, detonation and deflagration waves, and solid/fluid structure interaction. Next it discusses incompressible fluid dynamics, including a computer graphics simulation of smoke, free surface flows, including a computer graphics simulation of water, and fully two-phase incompressible flow. Additional related topics include incompressible flames with applications to computer graphics and coupling a compressible and incompressible fluid. Finally, heat flow and Stefan problems are discussed. 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.
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| Customer Reviews: Read 5 more reviews...
 A book for beginners and experts alike February 23, 2003
8 out of 9 found this review helpful
The book introduces the levelset method, starting from the very basics: the idea of implicit functions, discretization, schemes for numerically solving PDEs. It also covers advanced issues like reinitialization, particle methods, levelset for modelling objects of codimension two. Finally, an extensive section on applications from computer vision and computational physics gives the reader an idea of the power and elegance of levelset methods.
The presentation is very readable and precise enough to allow implementing the algorithms described straight away on the computer.
This is a book for beginners and experts, written by a well-known expert in the field (Osher and Seithan wrote one of the most influential papers on levelsets).
A solid introduction to level sets January 18, 2006
Shane Stafford (UIUC)
3 out of 3 found this review helpful
I read this book and Sethian's book and found this one to be much easier to read. The presentation follows a logical sequence and looks much less like someone's thesis than Sethian's text. Level sets and many of their various applications are covered in relative detail for a book of this size.
However, this is more of a survey book, as others have mentioned, and in my opinion that is a benefit. In addition to covering the fundamentals of level sets, the text covers many modern methods for solving hyperbolic conservations laws. I learned as much, or more, about high-order interpolation, flux-splitting, etc. from this book as from books by Laney and Leveque. For more detail on any of these topics, some of the best references are provided.
An excellent text at a good price.
from zero to hero in a few weeks June 4, 2005
tcc (texas)
2 out of 2 found this review helpful
This book is good. It covers level set methods from the very basics through some rather advanced material. Sure it takes some material from published papers (the subject matter is way to recent to be done any other way).
You can pick this book up with some knowledge of how to write a simple computer program and with in a few weeks be up to speed on numerical methods for solving interesting problems in image processing and other interface tracking problems.
It doesn't have all the numerical proofs you might want, but if you're willing to believe they exist then you can get off to a fast start with this text and with a little creativity you should be able to start submitting your own papers using the tools presented here.
Good Level Set Book For Animation September 3, 2003
David Cunningham (Avondale Estates, GA USA)
4 out of 6 found this review helpful
I bought this book to better understand the level set methods Fedkiw et al use in their computer animation work in fluids. Their papers often gloss over what level set methods are and how to use them (likely due to page limits in conference proceedings). This book does a very good job of getting you up to speed.
An excellent book for beginners and experts alike February 23, 2003
5 out of 8 found this review helpful
The book introduces the levelset method, starting from the very basics: the idea of implicit functions, discretization, schemes for numerically solving PDEs. It also covers advanced issues like reinitialization, particle methods, levelset for modelling objects of codimension two. Finally, an extensive section on applications from computer vision and computational physics gives the reader an idea of the power and elegance of levelset methods.
The presentation is very readable and precise enough to allow implementing the algorithms described straight away on the computer.
This is a book for beginners and experts, written by a well-known expert in the field (Osher and Seithan wrote one of the most influential papers on levelsets).
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