Geometric Curve Evolution and Image Processing
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...
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| Format: | Livre numérique |
| Język: | Anglais |
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Berlin [etc.] :
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[20..].
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| Seria: | Lecture notes in mathematics
1805 |
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| Edition sous un autre format: | • Geometric curve evolution and image processing, Frédéric Cao, 2003, Berlin, Springer, 1 vol. (X-187 p.), Lecture notes in mathematics, 3-540-00402-5 • Geometric Curve Evolution and Image Processing, Texte imprimé, 9783662203408 |
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| 100 | 1 | |a Cao, Frédéric, |d 19..- | |
| 245 | 1 | 0 | |a Geometric Curve Evolution and Image Processing |c Frédéric Cao. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1805 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Courbes sur les surfaces | ||
| 650 | |a Équations différentielles paraboliques |x Solutions numériques | ||
| 650 | |a Géométrie différentielle | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Traitement d'images | ||
| 650 | |a Mathématiques | ||
| 776 | 0 | |0 085841021 |t Geometric curve evolution and image processing |f Frédéric Cao |d 2003 |c Berlin |n Springer |p 1 vol. (X-187 p.) |s Lecture notes in mathematics |z 3-540-00402-5 | |
| 776 | 0 | |t Geometric Curve Evolution and Image Processing |b Texte imprimé |z 9783662203408 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b10404 |z Accès sur la plateforme de l'éditeur | |
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| 856 | 4 | |5 452349901:750662816 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b10404 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:75401228X |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b10404 |z Accès INSA CVL | |
| 997 | |0 970471 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||