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   -> Volume 6, Issue 12


Book: New Book on multiscale analysis method
 
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RF Wang Yuping (wyp@haar.math.nus.edu.sg)
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PostPosted: Wed Nov 19, 1997 2:23 am    
Subject: Book: New Book on multiscale analysis method
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#1 Book: New Book on multiscale analysis method

New Book on Level Set Methods:

Level Set Methods:
Evolving Interfaces in Geometry, Fluid Mechanics,
Computer Vision and Materials Sciences

J.A. Sethian, Cambridge University Press 1996
http://math.berkeley.edu/~sethian/level_set.html

This book is an introduction to level set methods, which are numerical
techniques for analyzing and computing interface motion in a host of
settings. The numerical techniques can be used to track
three-dimensional complex fronts that develop sharp corners and change
topology as they evolve. The text includes applications from geometry,
physics, chemistry, fluid mechanics, combustion, image processing,
material science, seismology, fabrication of microelectronic
components, computer vision, control theory, and robotic navigation.

The text is an equal blend of theory, implementations, and
applications areas, and includes detailed descriptions of the
appropriate numerical schemes. The book is intended for
mathematicians, applied scientists, practicing engineers, computer
graphic artists, and anyone interested in the evolution of boundaries
and interfaces; no previous expertise in level set methods or front
tracking schemes is assumed.

A URL which describes level set methods and the book, and which
includes a large number of movies, interactive Java appelets, and
ordering information, may be found at http://math.berkeley.edu

TABLE OF CONTENTS:

PART I: EQUATIONS OF MOTION FOR MOVING INTERFACES
1.Stability of Fronts
2.The Time-Dependent Level Set formulation
3.The Stationary Level Set formulation

3.The Stationary Level Set formulation

PART II: APPROXIMATION SCHEMES FOR LEVEL SET EQUATIONS
1.Traditional Techniques: Marker/String Methods/Cell
Methods
2.Hyperbolic Conservation Laws:
3.Schemes for the Level Set Equation
4.A Hierarchy of Fast Level Set Methods
Parallel Algorithms
Adaptive Mesh Methods
Fast Narrow Band Methods
5.Sources, Sinks, Multiple Interfaces

PART III: HAMILTON-JACOBI EQUATIONS AND FAST MARCHING METHODS

1.Viscosity Solutions of Hamilton-Jacobi Equations
2.Fast Marching Methods
3.Optimal Methods for Solving Eikonal Equations

PART IV: APPLICATIONS

1.Motion of Curves and Surfaces under Curvature
2.Sintering of Materials
3.Grid Generation: Two- and Three-Dimensional Body-Fitted
Grids
4.Image Enhancement and Noise Removal
5.Combustion: Flame Stability under Exothermic/Vortical
Effects
6.Crystal Growth and Dendritic Solidification
7.Two-Fluid Flow, Motions of Thermals, Role of Surface
Tension
8.Shape Detection and Recovery in Medical Imaging
9.Shape Recognition: Optical Character Recognition/Neural
Nets
10.Shape Offsetting in CAD
11.Shape-from-Shading in Computer Vision
12.Photolithography Development in Semi-Conductor
Manufacturing
13.Computing Optimal Paths on Networks
14.Construction of Geodesics on Surfaces
15.Seimsic Travel Times: Computing First Arrival Times
16.Robotic Navigation with Constraints
17.Etching and Deposition in Semi-conductor Manufacturing
All times are GMT + 1 Hour
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