Generalized Curvatures
The central object of this book is the measure of geometric quantities describing N a subset of the Euclidean space (E ,), endowed with its standard scalar product. Let us state precisely what we mean by a geometric quantity. Consider a subset N S of points of the N-dimensional Euclidean space E , e...
Αποθηκεύτηκε σε:
| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Springer e-books
[20..].
Cham : Springer Nature |
| Σειρά: | Geometry and Computing
2 |
| Θέματα: | |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Σημείωση: |
L'impression du document génère 246 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Generalized curvatures, Jean-Marie Morvan, 2008, Berlin, Springer, 1 volume (XI-266 pages.), Geometry and Computing, 978-3-540-73791-9 |
Πίνακας περιεχομένων:
- Motivations Motivation: Curves Motivation: Surfaces Background: Metrics and Measures Distance and Projection Elements of Measure Theory Background: Polyhedra and Convex Subsets Polyhedra Convex Subsets Background: Classical Tools in Differential Geometry Differential Forms and Densities on EN Measures on Manifolds Background on Riemannian Geometry Riemannian Submanifolds Currents On Volume Approximation of the Volume Approximation of the Length of Curves Approximation of the Area of Surfaces The Steiner Formula The Steiner Formula for Convex Subsets Tubes Formula Subsets of Positive Reach The Theory of Normal Cycles Invariant Forms The Normal Cycle Curvature Measures of Geometric Sets Second Fundamental Measure Applications to Curves and Surfaces Curvature Measures in E2 Curvature Measures in E3 Approximation of the Curvature of Curves Approximation of the Curvatures of Surfaces On Restricted Delaunay Triangulations