| 书目名称 | Shapes and Diffeomorphisms | | 编辑 | Laurent Younes | | 视频video | | | 概述 | direct application of the theory presented in the book is a branch of the computerized analysis of medical images, called computational anatomy.provides the background that is required for apprehendin | | 丛书名称 | Applied Mathematical Sciences | | 图书封面 |  | | 描述 | Shapes are complex objects to apprehend, as mathematical entities, in terms that also are suitable for 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. | | 出版日期 | Textbook 20101st edition | | 关键词 | Curves and Surfaces; Groups of Diffeomorphisms; Riemannian Geometry; Shape Analysis; algorithms; diffeomo | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-12055-8 | | isbn_softcover | 978-3-642-26348-4 | | isbn_ebook | 978-3-642-12055-8Series ISSN 0066-5452 Series E-ISSN 2196-968X | | issn_series | 0066-5452 | | copyright | Springer-Verlag Berlin Heidelberg 2010 |
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发表于 2025-3-21 16:56:23
