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Shapes and Diffeomorphisms

Shapes and Diffeomorphisms

Hardcover

Series: Applied Mathematical Sciences (Springer), Book 171

General MathematicsGeometry

Currently unavailable to order

ISBN10: 3642120547
ISBN13: 9783642120541
Publisher: Springer Nature
Published: May 25 2010
Pages: 434
Weight: 1.67
Height: 1.10 Width: 6.20 Depth: 9.50
Language: English
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.

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Geometry