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Geometric Curve Evolution and Image Processing

Name: Geometric Curve Evolution and Image Processing
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 04333357
Price: 13953 HUF
Availability: InStock
Author: Fr d ric Cao
ISBN: 9783540004028

Fr d ric Cao

Language

English

Book Paperback

Libristo code: 04333357

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, February 2003

In image processing, "motions by curvature" provide an efficient way to smooth curves representing t... Full description

Libristo code: 04333357

95 b

13 953 Ft

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In image processing, "motions by curvature" provide an efficient way to smooth curves representing the boundaries of objects. In such a motion, each point of the curve moves, at any instant, with a normal velocity equal to a function of the curvature at this point. This book is a rigorous and self-contained exposition of the techniques of "motion by curvature". The approach is axiomatic and formulated in terms of geometric invariance with respect to the position of the observer. This is translated into mathematical terms, and the author develops the approach of Olver, Sapiro and Tannenbaum, which classifies all curve evolution equations. He then draws a complete parallel with another axiomatic approach using level-set methods: this leads to generalized curvature motions. Finally, novel, and very accurate, numerical schemes are proposed allowing one to compute the solution of highly degenerate evolution equations in a completely invariant way. The convergence of this scheme is also proved.