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Books > Computing & IT > Applications of computing > Image processing
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Level Set Methods and Dynamic Implicit Surfaces (Paperback, Softcover reprint of the original 1st ed. 2003)
Loot Price: R1,771
Discovery Miles 17 710
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Level Set Methods and Dynamic Implicit Surfaces (Paperback, Softcover reprint of the original 1st ed. 2003)
Series: Applied Mathematical Sciences, 153
Expected to ship within 10 - 15 working days
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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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