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IDENT
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http://dx.doi.org/10.1007/978-3-642-12055-8
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標題および責任表示
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Shapes and Diffeomorphisms / by Laurent Younes
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特定資料種別コード
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リモートファイル
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出版・頒布事項
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Berlin, Heidelberg : Springer Berlin Heidelberg , 2010
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形態事項
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XVI, 438 p. 36 illus : online resource
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巻号情報
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書誌構造リンク
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Applied Mathematical Sciences <> 171//a
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内容著作注記
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Parametrized Plane Curves
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内容著作注記
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Medial Axis
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内容著作注記
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Moment-Based Representation
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内容著作注記
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Local Properties of Surfaces
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内容著作注記
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Isocontours and Isosurfaces
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内容著作注記
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Evolving Curves and Surfaces
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内容著作注記
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Deformable templates
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内容著作注記
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Ordinary Differential Equations and Groups of Diffeomorphisms
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内容著作注記
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Building Admissible Spaces
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内容著作注記
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Deformable Objects and Matching Functionals
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内容著作注記
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Diffeomorphic Matching
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内容著作注記
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Distances and Group Actions
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内容著作注記
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Metamorphosis
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注記
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Shapes are complex objects, which are difficult to apprehend as mathematical entities, in ways that can also be amenable to computerized analysis and interpretation. This volume provides the background that is required for this purpose, including different approaches that can be used to model shapes, and algorithms that are available to analyze them. It explores, in particular, the interesting connections between shapes and the objects that naturally act on them, diffeomorphisms. The book is, as far as possible, self-contained, with an appendix that describes a series of classical topics in mathematics (Hilbert spaces, differential equations, Riemannian manifolds) and sections that represent the state of the art in the analysis of shapes and their deformations. A direct application of what is presented in the book is a branch of the computerized analysis of medical images, called computational anatomy
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学情ID
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9783642120541
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本文言語コード
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英語
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著者標目リンク
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*Younes, Laurent <> author
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著者標目リンク
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SpringerLink (Online service) <>
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分類標目
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DC23:516.36
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件名標目等
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Mathematics
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件名標目等
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Mathematical analysis
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件名標目等
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Analysis (Mathematics)
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件名標目等
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Global analysis (Mathematics)
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件名標目等
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Manifolds (Mathematics)
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件名標目等
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Visualization
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件名標目等
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Mathematical models
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件名標目等
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Differential geometry
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件名標目等
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Mathematics
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件名標目等
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Differential Geometry
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件名標目等
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Analysis
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件名標目等
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Mathematical Modeling and Industrial Mathematics
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件名標目等
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Global Analysis and Analysis on Manifolds
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件名標目等
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Visualization
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