Description: Geometric Curve Evolution and Image Processing, Paperback by Cao, Frederic, ISBN 3540004025, ISBN-13 9783540004028, Like New Used, Free shipping in the US 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.
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Book Title: Geometric Curve Evolution and Image Processing
Number of Pages: X, 194 Pages
Publication Name: Geometric Curve Evolution and Image Processing
Language: English
Publisher: Springer Berlin / Heidelberg
Publication Year: 2003
Subject: Differential Equations / General, Geometry / Differential, Image Processing, Differential Equations / Partial, Geometry / Algebraic, Computer Vision & Pattern Recognition
Type: Textbook
Item Weight: 22.9 Oz
Author: Frédéric Cao
Item Length: 9.3 in
Subject Area: Mathematics, Computers
Series: Lecture Notes in Mathematics Ser.
Item Width: 6.1 in
Format: Trade Paperback