Shapes and Diffeomorphisms (Applied Mathematical Sciences, Vol. 171) by Laurent Younes

Shapes and Diffeomorphisms (Applied Mathematical Sciences, Vol. 171) Author: Laurent Younes
eBook Title: Shapes and Diffeomorphisms (Applied Mathematical Sciences, Vol. 171)
ISBN10: 3642120547
ISBN13: 978-3642120541
Language: English
Publisher: Springer; 1st edition (April 24, 2010)
Category: Science & Math
Subcategory: Mathematics
Size ePub vers.: 1789 kb
Size PDF vers.: 1499 kb
Other formats: cb7, odf, pdf, azw, ibooks, mobi
Rating: 3.5
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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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