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1. |
Record Nr. |
UNISA996466594003316 |
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Autore |
Cao Frédéric |
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Titolo |
Geometric Curve Evolution and Image Processing [[electronic resource] /] / by Frédéric Cao |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 |
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ISBN |
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Edizione |
[1st ed. 2003.] |
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Descrizione fisica |
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1 online resource (X, 194 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1805 |
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Disciplina |
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Soggetti |
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Partial differential equations |
Optical data processing |
Differential geometry |
Partial Differential Equations |
Image Processing and Computer Vision |
Differential Geometry |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Preface -- Part I. The curve smoothing problem: 1. Curve evolution and image processing; 2. Rudimentary bases of curve geometry -- Part II. Theoretical curve evolution: 3. Geometric curve shortening flow; 4. Curve evolution and level sets -- Part III. Numerical curve evolution: 5. Classical numerical methods for curve evolution; 6. A geometrical scheme for curve evolution -- Conclusion and perspectives -- A. Proof of Thm. 4.3.4 -- References -- Index. |
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Sommario/riassunto |
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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 |
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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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2. |
Record Nr. |
UNINA9910484018103321 |
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Titolo |
Computing and Combinatorics : 23rd International Conference, COCOON 2017, Hong Kong, China, August 3-5, 2017, Proceedings / / edited by Yixin Cao, Jianer Chen |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
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ISBN |
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Edizione |
[1st ed. 2017.] |
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Descrizione fisica |
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1 online resource (XXI, 693 p. 138 illus.) |
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Collana |
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Theoretical Computer Science and General Issues, , 2512-2029 ; ; 10392 |
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Disciplina |
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Soggetti |
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Algorithms |
Computer science - Mathematics |
Discrete mathematics |
Numerical analysis |
Artificial intelligence - Data processing |
Social sciences - Data processing |
Application software |
Discrete Mathematics in Computer Science |
Numerical Analysis |
Data Science |
Computer Application in Social and Behavioral Sciences |
Computer and Information Systems Applications |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Algorithms and Data Structures. - Complexity Theory and |
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Computability. -Algorithmic Game Theory -- Computational Learning Theory -- Cryptography -- Computational Biology -- Computational Geometry and Number Theory -- Graph Theory -- Parallel and Distributed Computing. |
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Sommario/riassunto |
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This book constitutes the refereed proceedings of the 23rd International Conference on Computing and Combinatorics, COCOON 2017, held in Hiong Kong, China, in August 2017. The 56 full papers papers presented in this book were carefully reviewed and selected from 119 submissions. The papers cover various topics, including algorithms and data structures, complexity theory and computability, algorithmic game theory, computational learning theory, cryptography, computational biology, computational geometry and number theory, graph theory, and parallel and distributed computing. |
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