Geometric curve evolution and image processing
Resource Information
The work Geometric curve evolution and image processing represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Geometric curve evolution and image processing
Resource Information
The work Geometric curve evolution and image processing represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Geometric curve evolution and image processing
 Statement of responsibility
 Frédéric Cao
 Language
 eng
 Summary
 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 selfcontained 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 levelset 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
 Cataloging source
 COO
 Dewey number

 510 s
 516.3/62
 Illustrations
 illustrations
 Index
 index present
 LC call number

 QA3
 QA643
 LC item number
 .L28 no. 1805
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Lecture notes in mathematics,
 Series volume
 1805
Context
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