Name: Shapes and Diffeomorphisms (Applied Mathematical Sciences) (en Inglés)
Price: 542433.00 COP
Availability: InStock
Author: Laurent Younes
ISBN: 9783662584958

portada Shapes and Diffeomorphisms (Applied Mathematical Sciences) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Laurent Younes

Año

2019

Idioma

Inglés

N° páginas

558

Encuadernación

Tapa Dura

ISBN13

9783662584958

N° edición

Categorías

Matemáticas aplicadas

Shapes and Diffeomorphisms (Applied Mathematical Sciences) (en Inglés)

Laurent Younes (Autor) · Springer · Tapa Dura

Libro Físico

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$ 904.055

Ahorras: $ 361.622

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Origen: Reino Unido (Costos de importación incluídos en el precio)

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Reseña del libro "Shapes and Diffeomorphisms (Applied Mathematical Sciences) (en Inglés)"

This book covers mathematical foundations and methods for the computerized analysis of shapes, providing the requisite background in geometry and functional analysis and introducing various algorithms and approaches to shape modeling, with a special focus on the interesting connections between shapes and their transformations by diffeomorphisms. A direct application is to computational anatomy, for which techniques such as large‒deformation diffeomorphic metric mapping and metamorphosis, among others, are presented. The appendices detail a series of classical topics (Hilbert spaces, differential equations, Riemannian manifolds, optimal control).The intended audience is applied mathematicians and mathematically inclined engineers interested in the topic of shape analysis and its possible applications in computer vision or medical imaging. The first part can be used for an advanced undergraduate course on differential geometry with a focus on applications while the later chapters are suitable for a graduate course on shape analysis through the action of diffeomorphisms. Several significant additions appear in the 2nd edition, most notably a new chapter on shape datasets, and a discussion of optimal control theory in an infinite-dimensional framework, which is then used to enrich the presentation of diffeomorphic matching.