Quaternions for Computer Graphics (Hardcover)
暫譯: 計算機圖形學中的四元數 (精裝版)

Vince, John

Quaternions for Computer Graphics (Hardcover)

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商品描述

If you have ever wondered what quaternions are - then look no further, John Vince will show you how simple and useful they are. This 2nd edition has been completely revised and includes extra detail on the invention of quaternions, a complete review of the text and equations, all figures are in colour, extra worked examples, an expanded index, and a bibliography arranged for each chapter.

Quaternions for Computer Graphics includes chapters on number sets and algebra, imaginary and complex numbers, the complex plane, rotation transforms, and a comprehensive description of quaternions in the context of rotation. The book will appeal to students of computer graphics, computer science and mathematics, as well as programmers, researchers, academics and professional practitioners interested in learning about quaternions.

John Vince explains in an easy-to-understand language, with the aid of useful figures, how quaternions emerged, gave birth to modern vector analysis, disappeared, and reemerged to be adopted by the flight simulation industry and computer graphics. This book will give you the confidence to use quaternions within your every-day mathematics, and explore more advanced texts.


商品描述(中文翻譯)

如果你曾經想知道四元數是什麼，那麼不必再尋找了，John Vince 將向你展示它們是多麼簡單且有用。本書的第二版已經完全修訂，並包含有關四元數發明的額外細節，對文本和方程式的完整回顧，所有圖形均為彩色，增加了範例，擴展的索引，以及為每一章安排的參考書目。

《四元數與電腦圖形學》包括有關數字集合和代數、虛數和複數、複平面、旋轉變換，以及在旋轉背景下對四元數的全面描述的章節。本書將吸引電腦圖形學、計算機科學和數學的學生，以及對學習四元數感興趣的程式設計師、研究人員、學者和專業從業人員。

John Vince 用易於理解的語言解釋了四元數是如何出現的，如何催生現代向量分析，然後消失，並重新出現被飛行模擬產業和電腦圖形學所採用。本書將使你有信心在日常數學中使用四元數，並探索更高級的文本。

作者簡介

Professor John Vince began working in computer graphics at Middlesex Polytechnic in 1968. His research activities centered on computer animation software and resulted in the PICASO and PRISM animation systems. Whilst at Middlesex, he designed the UK's first MSc course in Computer Graphics and developed a popular program of short courses in computer animation for television designers. In 1986 he joined Rediffusion Simulation as a Research Consultant and worked on the development of real-time computer systems for commercial flight simulators. In 1992 he was appointed Chief Scientist of Thomson Training Simulation Ltd. In 1995 he was appointed Professor of Digital Media at the National Centre for Computer Animation at Bournemouth University and in 1999 he was made Head of Academic Group for Computer Animation. He was awarded a DSc by Brunel University in recognition of his work in computer graphics. He has written and edited over 45 books on computer graphics, computer animation, computer science and virtual reality, including the following Springer titles:

- Mathematics for Computer Graphics, 5th edition (2017)

- Calculus for Computer Graphics, 2nd edition (2019)

- Imaginary Mathematics for Computer Science, (2018)

- Foundation Mathematics for Computer Science, 2nd edition (2015)

- Matrix Transforms for Computer Games and Animation (2012)

- Expanding the Frontiers of Visual Analytics and Visualization (2012)

- Quaternions for Computer Graphics (2011)

- Rotation Transforms for Computer Graphics (2011)

- Geometric Algebra: An Algebraic System for Computer Animation and Games (2009)

 

- Geometric Algebra for Computer Graphics (2008)

作者簡介(中文翻譯)

約翰·文斯教授（Professor John Vince）於1968年在米德爾塞克斯理工學院（Middlesex Polytechnic）開始從事電腦圖形學的研究。他的研究活動集中在電腦動畫軟體上，並導致了PICASO和PRISM動畫系統的誕生。在米德爾塞克斯期間，他設計了英國首個電腦圖形碩士課程（MSc course in Computer Graphics），並為電視設計師開發了一系列受歡迎的電腦動畫短期課程。1986年，他加入Rediffusion Simulation擔任研究顧問，並參與商業飛行模擬器的即時電腦系統開發。1992年，他被任命為湯姆森訓練模擬有限公司（Thomson Training Simulation Ltd.）的首席科學家。1995年，他被任命為伯恩茅斯大學（Bournemouth University）數位媒體教授，並於1999年成為電腦動畫學術小組的負責人。他因在電腦圖形學方面的貢獻而獲得布魯內爾大學（Brunel University）頒發的科學博士學位（DSc）。他撰寫和編輯了超過45本有關電腦圖形學、電腦動畫、計算機科學和虛擬實境的書籍，包括以下Springer出版的書籍：

- 電腦圖形學的數學（Mathematics for Computer Graphics），第5版（2017）

- 電腦圖形學的微積分（Calculus for Computer Graphics），第2版（2019）

- 計算機科學的虛構數學（Imaginary Mathematics for Computer Science）（2018）

- 計算機科學的基礎數學（Foundation Mathematics for Computer Science），第2版（2015）

- 電腦遊戲和動畫的矩陣變換（Matrix Transforms for Computer Games and Animation）（2012）

- 擴展視覺分析和可視化的前沿（Expanding the Frontiers of Visual Analytics and Visualization）（2012）

- 電腦圖形學的四元數（Quaternions for Computer Graphics）（2011）

- 電腦圖形學的旋轉變換（Rotation Transforms for Computer Graphics）（2011）

- 幾何代數：電腦動畫和遊戲的代數系統（Geometric Algebra: An Algebraic System for Computer Animation and Games）（2009）

- 電腦圖形學的幾何代數（Geometric Algebra for Computer Graphics）（2008）

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