عنوان

Shapes and diffeomorphisms /

شابک

3662584964

شابک

3662584972

شابک

9783662584965

شابک

9783662584972

شابک اشتباه

3662584956

شابک اشتباه

9783662584958

عنوان اصلي

Shapes and diffeomorphisms /

نام عام مواد

[Book]

نام نخستين پديدآور

Laurent Younes.

وضعيت ويراست

Second edition.

محل نشرو پخش و غیره

Berlin, Germany :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2019.

نام خاص و کميت اثر

1 online resource (xxiii, 558 pages) :

ساير جزييات

illustrations (some color)

عنوان فروست

Applied mathematical sciences,

مشخصه جلد

volume 171

شاپا ي ISSN فروست

0066-5452 ;

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783662584965

شماره استاندارد بين المللي کتاب و موسيقي

9783662584958

شماره استاندارد بين المللي کتاب و موسيقي

9783662584972

موضوع مستند نشده

Diffeomorphisms.

موضوع مستند نشده

Shapes.

موضوع مستند نشده

Diffeomorphisms.

موضوع مستند نشده

Shapes.

موضوع مستند نشده

MAT003000

موضوع مستند نشده

PBWH

موضوع مستند نشده

PBWH

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Younes, Laurent,1963-

تاريخ عمليات

20200823193045.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y