# VO : Level Set Methods and Dynamic Impicit Surfaces in Comp. Vision and Comp. Physics, 323.022

Teaching language will be English.

Registration in
KUSSS
at some time in future

## Day & Time: Changed to Wednesday 13:45 – 15:15

Weeks: 11-27

Location: Seminar room Altenbergerstrasse 50 (opposite of tram stop)

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### Literature

Level Set Methods and Dynamic Implicit Surfaces

Stanley Osher & Ronald Fedkiw

Series: Applied Mathematical Sciences , Vol. 153

Springer, 2003, XIII, 273 p., 109 illus., 24 in colour, Hardcover

ISBN-10: 0-387-95482-1

ISBN-13: 978-0-387-95482-0

#### Outline

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.

Arjan Kuijper / `arjan.kuijper@oeaw.ac.at`

/ updated September 4, 2006