| Shapes and Diffeomorphisms 2010 Edition Contributor(s): Younes, Laurent (Author) |
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ISBN: 3642263488 ISBN-13: 9783642263484 Publisher: Springer OUR PRICE: $66.49 Product Type: Paperback - Other Formats Published: June 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Differential - Mathematics | Graphic Methods - Mathematics | Mathematical Analysis |
| Dewey: 516.15 |
| Series: Applied Mathematical Sciences (Springer) |
| Physical Information: 0.92" H x 6.14" W x 9.21" (1.39 lbs) 438 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Shapes are complex objects to apprehend, as mathematical entities, in terms that also are suitable for computerized analysis and interpretation. This volume provides the background that is required for this purpose, including different approaches that can be used to model shapes, and algorithms that are available to analyze them. It explores, in particular, the interesting connections between shapes and the objects that naturally act on them, diffeomorphisms. The book is, as far as possible, self-contained, with an appendix that describes a series of classical topics in mathematics (Hilbert spaces, differential equations, Riemannian manifolds) and sections that represent the state of the art in the analysis of shapes and their deformations. A direct application of what is presented in the book is a branch of the computerized analysis of medical images, called computational anatomy. |