ENGLISH

Shapes and diffeomorphisms

By Laurent Younes (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2010
ISBN
3642120547, 9783642120541
DOI
10.1007/978-3-642-12055-8
Language
english
Format
PDF
Filesize
4 MB (3978567 bytes)
Series
Applied Mathematical Sciences 171
Edition
1
Pages
438\441
Library
Kolxo3
Time added
2010-07-29 05:14:56
Differential Geometry; Global Analysis and Analysi

Description

Shapes are complex objects, which are difficult to apprehend as mathematical entities, in ways that can also be amenable to 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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