عنوان

Shapes and diffeomorphisms /

(Number (ISBN

3662584964

(Number (ISBN

3662584972

(Number (ISBN

9783662584965

(Number (ISBN

9783662584972

Erroneous ISBN

3662584956

Erroneous ISBN

9783662584958

Title Proper

Shapes and diffeomorphisms /

General Material Designation

[Book]

First Statement of Responsibility

Laurent Younes.

Edition Statement

Second edition.

Place of Publication, Distribution, etc.

Berlin, Germany :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2019.

Specific Material Designation and Extent of Item

1 online resource (xxiii, 558 pages) :

Other Physical Details

illustrations (some color)

Series Title

Applied mathematical sciences,

Volume Designation

volume 171

ISSN of Series

0066-5452 ;

Text of Note

Includes bibliographical references and index.

Text of Note

Preface to the 2nd Edition -- Preface to the 1st Edition -- Parametrized Plane Curves -- Medial Axis -- Local Properties of Surfaces -- Computations on Triangulated Surfaces- Evolving Curves and Surfaces -- Deformable templates -- Ordinary Differential Equations and Groups of Diffeomorphisms -- Building Admissible Spaces -- Deformable Objects and Matching Functionals -- Diffeomorphic Matching -- Distances and Group Actions -- Metamorphosis -- Analyzing Shape Datasets -- Appendices: Elements from Functional Analysis -- Elements from Differential Geometry -- Ordinary Differential Equations -- Introduction to Optimization and Optimal Control Theory. -- Principal Component Analysis -- Dynamic Programming -- References -- Index.

0

Text of Note

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.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783662584965

International Standard Book Number

9783662584958

International Standard Book Number

9783662584972

Diffeomorphisms.

Shapes.

Diffeomorphisms.

Shapes.

MAT003000

PBWH

PBWH

Number

Edition

Class number

Younes, Laurent,1963-

Date of Transaction

20200823193045.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y