Conformal Geometry: Computational Algorithms and Engineering Applications
暫譯: 共形幾何：計算演算法與工程應用
Jin, Miao, Gu, Xianfeng, He, Ying
- 出版商: Springer
- 出版日期: 2019-02-11
- 售價: $5,760
- 貴賓價: 9.5 折 $5,472
- 語言: 英文
- 頁數: 330
- 裝訂: Quality Paper - also called trade paper
- ISBN: 303009202X
- ISBN-13: 9783030092023
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相關分類:
Algorithms-data-structures
海外代購書籍(需單獨結帳)
商品描述
This book offers an essential overview of computational conformal geometry applied to fundamental problems in specific engineering fields. It introduces readers to conformal geometry theory and discusses implementation issues from an engineering perspective.
The respective chapters explore fundamental problems in specific fields of application, and detail how computational conformal geometric methods can be used to solve them in a theoretically elegant and computationally efficient way. The fields covered include computer graphics, computer vision, geometric modeling, medical imaging, and wireless sensor networks. Each chapter concludes with a summary of the material covered and suggestions for further reading, and numerous illustrations and computational algorithms complement the text.
The book draws on courses given by the authors at the University of Louisiana at Lafayette, the State University of New York at Stony Brook, and Tsinghua University, and will be of interest to senior undergraduates, graduates and researchers in computer science, applied mathematics, and engineering.
商品描述(中文翻譯)
本書提供了計算共形幾何在特定工程領域基本問題上的重要概述。它向讀者介紹了共形幾何理論，並從工程的角度討論了實施問題。
各章節探討了特定應用領域中的基本問題，並詳細說明了計算共形幾何方法如何以理論上優雅且計算上高效的方式解決這些問題。涵蓋的領域包括計算機圖形學、計算機視覺、幾何建模、醫學影像和無線感測器網路。每章結尾都有所涵蓋材料的總結和進一步閱讀的建議，並且有許多插圖和計算算法補充文本內容。
本書基於作者在路易斯安那州立大學拉法葉校區、紐約州立大學石溪校區和清華大學所開設的課程，將對計算機科學、應用數學和工程領域的高年級本科生、研究生及研究人員感興趣。
作者簡介
Miao Jin received her PhD from the State University of New York at Stony Brook in 2008. She is the recipient of a National Science Foundation Career Award (2011-2016) for her work in computational conformal and quasi-conformal geometry, and is currently an Associate Professor at the University of Louisiana at Lafayette. Her research interests include computational geometry and topology, and especially computational conformal geometry, computational hyperbolic geometry, and computational quasi-conformal geometry - with applications to computer graphics, wireless sensor networks, geometric modelling, and computer vision.
David Xianfeng Gu received his PhD from Harvard University in 2003. He is currently an Associate Professor at the State University of New York at Stony Brook and was an Assistant Professor at the University of Florida (2003-2004). His research interests include differential geometry, algebraic topology, Riemann surface theory and especially computational conformal geometry - with applications to computer graphics, computer vision, medical imaging, and scientific computing. He is the recipient of a National Science Foundation Career Award (2004-2009), Morningside Gold Medal in Applied Mathematics (2013) for his work in computational conformal geometry.
作者簡介(中文翻譯)
苗金於2008年在紐約州立大學石溪校區獲得博士學位。她因在計算共形與準共形幾何方面的研究而獲得國家科學基金會的職業獎（2011-2016），目前是路易斯安那州立大學拉法葉分校的副教授。她的研究興趣包括計算幾何和拓撲，特別是計算共形幾何、計算雙曲幾何和計算準共形幾何，並應用於計算機圖形學、無線感測器網路、幾何建模和計算機視覺。
顧賢峰於2003年在哈佛大學獲得博士學位。目前他是紐約州立大學石溪校區的副教授，曾於佛羅里達大學擔任助理教授（2003-2004）。他的研究興趣包括微分幾何、代數拓撲、黎曼曲面理論，特別是計算共形幾何，並應用於計算機圖形學、計算機視覺、醫學影像和科學計算。他是國家科學基金會的職業獎（2004-2009）和應用數學晨曦金獎（2013）的獲得者，因其在計算共形幾何方面的研究而獲獎。
