书目名称 | Shapes and Diffeomorphisms | 编辑 | Laurent Younes | 视频video | | 概述 | Suitable for an advanced undergraduate course in the differential geometry of curves and surfaces, featuring applications that are rarely treated in standard texts.Provides a graduate-level theoretica | 丛书名称 | Applied Mathematical Sciences | 图书封面 |  | 描述 | .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 disc | 出版日期 | Textbook 2019Latest edition | 关键词 | 68T10, 53-01, 68-02, 37C10, 37E30, 53A04, 53A05, 68U05, 92C55; curves and surfaces; groups of diffeomo | 版次 | 2 | doi | https://doi.org/10.1007/978-3-662-58496-5 | isbn_ebook | 978-3-662-58496-5Series ISSN 0066-5452 Series E-ISSN 2196-968X | issn_series | 0066-5452 | copyright | Springer-Verlag GmbH Germany, part of Springer Nature 2019 |
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