 Название: Conformal Geometry: Computational Algorithms and Engineering Applications
Автор: Miao Jin, Xianfeng David Gu, Ying He, Yalin Wang
Издательство: Springer International Publishing
Год: 2018
ISBN: 9783319753324
Формат: epub, pdf
Страниц: XIII, 314
Размер: 28,2 mb
Язык: English
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.
Introduction
Jin, Miao (et al.)
Pages 1-7
Topological Algorithms
Jin, Miao (et al.)
Pages 11-18
Harmonic Map
Jin, Miao (et al.)
Pages 19-27
Harmonic and Holomorphic Forms
Jin, Miao (et al.)
Pages 29-38
Discrete Ricci Flow
Jin, Miao (et al.)
Pages 39-56
Computer Graphics
Jin, Miao (et al.)
Pages 59-101
Computer Vision
Jin, Miao (et al.)
Pages 103-133
Geometric Modeling
Jin, Miao (et al.)
Pages 135-173
Medical Imaging
Jin, Miao (et al.)
Pages 175-251
Wireless Sensor Networks
Jin, Miao (et al.)
Pages 253-296
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Conformal Geometry: Computational Algorithms and Engineering Applications 
