Shapes and Diffeomorphisms
暫譯: 形狀與微分同胚
Younes, Laurent
- 出版商: Springer
- 出版日期: 2019-05-28
- 售價: $3,870
- 貴賓價: 9.5 折 $3,677
- 語言: 英文
- 頁數: 558
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3662584956
- ISBN-13: 9783662584958
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相關主題
商品描述
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.
商品描述(中文翻譯)
形狀是複雜的物件，從數學實體的角度來看，這些物件也適合進行電腦化的分析和詮釋。本書提供了達成此目的所需的背景知識，包括可用於建模形狀的不同方法，以及可用於分析它們的演算法。特別探討了形狀與自然作用於它們的物件之間的有趣聯繫，即微分同胚（diffeomorphisms）。本書在可能的範圍內是自足的，附錄中描述了一系列數學的經典主題（希爾伯特空間、微分方程、黎曼流形），並包含代表形狀及其變形分析的最新技術的章節。本書所呈現內容的直接應用是計算解剖學（computational anatomy），這是一個電腦化醫學影像分析的分支。
作者簡介
A former student of the Ecole Normale Supérieure in Paris, Laurent Younes received his Ph.D. from the University Paris Sud in 1989. Now a professor in the Department of Applied Mathematics and Statistics at Johns Hopkins University (which he joined in 2003), he was a junior, then senior researcher at CNRS in France from 1991 to 2003. His research is in stochastic modeling for imaging and biology, shape analysis and computational anatomy. He is a core faculty member of the Center for Imaging Science and of the Institute for Computational Medicine at JHU.
作者簡介(中文翻譯)
前巴黎高等師範學校的學生，Laurent Younes 於1989年在巴黎南大學獲得博士學位。現在他是約翰霍普金斯大學應用數學與統計系的教授（自2003年起加入），在1991年至2003年間，他曾在法國國家科學研究中心（CNRS）擔任初級及高級研究員。他的研究領域包括影像學和生物學的隨機建模、形狀分析及計算解剖學。他是約翰霍普金斯大學影像科學中心及計算醫學研究所的核心教職成員。
