Younes Laurent Shapes and Diffeomorphisms 9783662584958

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Автор: Younes Laurent
Название: Shapes and Diffeomorphisms
ISBN: 9783662584958
Издательство: Springer
Классификация:

Международная экономика

Основы высшей математики и математический анализ

Вариационное исчисление

Вычислительная математика

Геометрия

Дифференциальная и риманова геометрия

Вероятность и статистика

Прикладная математика

Математическое моделирование

ISBN-10: 3662584956
Обложка/Формат: Hardcover
Страницы: 558
Вес: 1.30 кг.
Дата издания: 28.05.2019
Серия: Applied mathematical sciences
Язык: English
Издание: 2nd ed. 2019
Иллюстрации: 14 illustrations, color; 33 illustrations, black and white; xxiii, 558 p. 47 illus., 14 illus. in color.
Размер: 242 x 163 x 31
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

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.

Дополнительное описание: 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

Shapes and Diffeomorphisms, Younes Laurent