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Shapes and diffeomorphisms

Author: Laurent Younes
Publisher: Berlin, Germany : Springer, 2019.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v.171.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Laurent Younes
ISBN: 9783662584965 3662584964 9783662584972 3662584972
OCLC Number: 1104820532
Description: 1 online resource (xxiii, 558 pages) : illustrations (some color).
Contents: 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.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v.171.
Responsibility: Laurent Younes.

Abstract:

Shapes are complex objects to apprehend, as mathematical entities, in terms also suitable for computerized analysis and interpretation. This volume provides the background that is required for this  Read more...

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