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Shapes and Diffeomorphisms

By Laurent Younes

Product Image: Shapes and Diffeomorphisms

Shapes and Diffeomorphisms

By Laurent Younes

Only 1 item left in stock
Description
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 thelater 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.
Product details
Edition:
2
Number of Pages:
584
Release Date:
2019-05-28
Publication Date:
2019-05-28
Publisher:
Springer
Languages:
Original: English
ISBN10:
3662584956
ISBN13:
9783662584958
GPSR Manufacturer Reference:
[email protected]
Weight:
1139 g
Height:
160 cm
Width:
241 cm
Thickness:
35 cm
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The items bear minimal signs of past use, such as light scratches or memories in the form of markings. These signs of wear give the items a charming character and tell stories of their previous owners, while not affecting their functionality.
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