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Synopsis
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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- PublisherSpringer
- Publication date2003
- ISBN 10 3540004025
- ISBN 13 9783540004028
- BindingPaperback
- LanguageEnglish
- Number of pages204
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Geometric Curve Evolution and Image Processing.
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Softcover. Condition: Gut. " Gebraucht - Gut Verlagsmängelex., X, 187 p. Brosch. 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. ". Seller Inventory # 13748
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Geometric Curve Evolution and Image Processing (Lecture Notes in Mathematics, 1805)
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Geometric Curve Evolution and Image Processing (Lecture Notes in Mathematics, 1805)
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Geometric Curve Evolution and Image Processing (Lecture Notes in Mathematics, 1805)
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Geometric Curve Evolution and Image Processing (Lecture Notes in Mathematics)
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Geometric Curve Evolution and Image Processing
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Springer Berlin Heidelberg Feb 2003, 2003
ISBN 10: 3540004025
ISBN 13: 9783540004028
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In image processing, 'motions by curvature' provide an efficient way to smooth curves representing theboundaries 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 oneto compute the solution of highly degenerate evolution equations in a completely invariant way. The convergence of this scheme is also proved. 204 pp. Englisch. Seller Inventory # 9783540004028
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Geometric Curve Evolution and Image Processing
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ISBN 10: 3540004025
ISBN 13: 9783540004028
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - In image processing, 'motions by curvature' provide an efficient way to smooth curves representing theboundaries 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 oneto compute the solution of highly degenerate evolution equations in a completely invariant way. The convergence of this scheme is also proved. Seller Inventory # 9783540004028
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Geometric Curve Evolution and Image Processing
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 curvatur. Seller Inventory # 4877141
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Geometric Curve Evolution and Image Processing (Lecture Notes in Mathematics, 1805)
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