Shapes and Diffeomorphisms (Paperback, 2010 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Applied Mathematical Sciences, 171
Release date:	June 2012
First published:	2010
Authors:	Laurent Younes
Dimensions:	235 x 155 x 23mm (L x W x T)
Format:	Paperback
Pages:	438
Edition:	2010 ed.
ISBN-13:	978-3-642-26348-4
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Combinatorics & graph theory Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
LSN:	3-642-26348-8
Barcode:	9783642263484

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