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Titlebook: Shapes and Diffeomorphisms; Laurent Younes Textbook 2019Latest edition Springer-Verlag GmbH Germany, part of Springer Nature 2019 68T10, 5

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发表于 2025-3-21 18:48:29 | 显示全部楼层 |阅读模式
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Titlebook: Shapes and Diffeomorphisms;  Laurent Younes Textbook 2019Latest edition Springer-Verlag GmbH Germany, part of Springer Nature 2019 68T10, 5
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
doihttps://doi.org/10.1007/978-3-662-58496-5
isbn_ebook978-3-662-58496-5Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightSpringer-Verlag GmbH Germany, part of Springer Nature 2019
The information of publication is updating

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发表于 2025-3-21 23:56:53 | 显示全部楼层
Textbook 2019Latest editiongraduate 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
发表于 2025-3-22 03:06:47 | 显示全部楼层
发表于 2025-3-22 08:29:23 | 显示全部楼层
发表于 2025-3-22 12:37:17 | 显示全部楼层
Laurent Younesnen ständigen Dialog mit dem Unterschiedenen und dem Fremden entwickelt. Das scheint vor allem für die deutsche Literatur zu gelten, die sich in Fortführung und Transformation fremder Kulturen bildete und die sich schon im 18. Jahrhundert zum Ziel setzte, das Fremde zu integrieren und dadurch ihren
发表于 2025-3-22 16:03:51 | 显示全部楼层
Laurent Younes116). Indem der Blick gezielt auf die Produktivität der Norm innerhalb der von ihr „verworfenen“ (J. Butler 2004) Individuen gerichtet wird, kann der Frage nachgegangen werden, ob es überhaupt und, falls ja, welche Widerstandspotenziale und Gestaltungsmöglichkeiten es für Lebensentwürfe jenseits die
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发表于 2025-3-22 23:31:44 | 显示全部楼层
The Medial Axis,, which, when the associated maximal radii are also stored (providing the medial axis transform) uniquely encodes the shape geometry. This chapter described some fundamental properties of this transforms introduces some extensions.
发表于 2025-3-23 02:53:22 | 显示全部楼层
Deformable Templates,o the space of transformations. The models that are presented in this chapter are linear versions of this approach, and can be seen as precursors of the nonlinear constructions, based on diffeomorphism groups,, that will be the main focus of the rest of this book.
发表于 2025-3-23 06:22:02 | 显示全部楼层
Deformable Objects and Matching Functionals,s. In this chapter, we start investigating relations between deformations and the objects they affect, which we will call deformable objects, and discuss the variations of matching functionals, which are cost functions that measure the quality of the registration between two deformable objects.
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