Vector Analysis for Computer Graphics
暫譯: 計算機圖形學的向量分析

Vince, John

Vector Analysis for Computer Graphics
  • 出版商: Springer
  • 出版日期: 2021-06-02
  • 售價: $2,990
  • 貴賓價: 9.5 折 $2,841
  • 語言: 英文
  • 頁數: 246
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1447175042
  • ISBN-13: 9781447175049
  • 相關分類: Computer Graphics

    • 海外代購書籍(需單獨結帳)

商品描述

In my last book, Geometry for Computer Graphics, I employed a mixture of algebra and vector analysis to prove many of the equations used in computer graphics. At the time, I did not make any distinction between the two methodologies, but slowly it dawned upon me that I had had to discover, for the first time, how to use vector analysis and associated strategies for solving geometric problems. I suppose that mathematicians are taught this as part of their formal mathematical training, but then, I am not a mathematician! After some deliberation, I decided to write a book that would introduce the beginner to the world of vectors and their application to the geometric problems encountered in computer graphics. I accepted the fact that there would be some duplication of formulas between this and my last book; however, this time I would concentrate on explaining how problems are solved. The book contains eleven chapters: The first chapter distinguishes between scalar and vector quantities, which is reasonably straightforward. The second chapter introduces vector repres- tation, starting with Cartesian coordinates and concluding with the role of direction cosines in changes in axial systems. The third chapter explores how the line equation has a natural vector interpretation and how vector analysis is used to resolve a variety of line-related, geometric problems. Chapter 4 repeats Chapter 3 in the context of the plane.

商品描述(中文翻譯)

在我上一部書籍《計算機圖形學的幾何》中，我使用了代數和向量分析的混合方法來證明計算機圖形中使用的許多方程式。當時，我並沒有區分這兩種方法，但漸漸地我意識到，我必須首次發現如何使用向量分析及相關策略來解決幾何問題。我想數學家在他們的正式數學訓練中會學到這些，但我並不是數學家！經過一些深思熟慮，我決定寫一本書，向初學者介紹向量的世界及其在計算機圖形中遇到的幾何問題的應用。我接受這本書與我上一部書之間會有一些公式的重複；然而，這次我將專注於解釋問題是如何解決的。這本書包含十一章：第一章區分了標量和向量量，這是相當簡單明瞭的。第二章介紹了向量表示，從笛卡爾坐標開始，並以方向餘弦在軸系變化中的角色作結。第三章探討了直線方程如何具有自然的向量解釋，以及如何使用向量分析來解決各種與直線相關的幾何問題。第四章在平面上下文中重複了第三章的內容。

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·文斯教授於1968年在米德爾塞克斯理工學院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，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的首席科學家。1995年，他被任命為伯恩茅斯大學電腦動畫國家中心的數位媒體教授，並於1999年成為電腦動畫學術小組的負責人。由於他在電腦圖形學方面的貢獻，他獲得了布魯內爾大學的科學博士學位。他撰寫和編輯了超過45本有關電腦圖形學、電腦動畫、計算機科學和虛擬現實的書籍，包括以下Springer出版的書籍：

- 電腦圖形學的數學，第5版（2017年）
- 電腦圖形學的微積分，第2版（2019年）
- 計算機科學的虛構數學（2018年）
- 計算機科學的基礎數學，第2版（2015年）
- 電腦遊戲和動畫的矩陣變換（2012年）
- 擴展視覺分析和可視化的前沿（2012年）
- 電腦圖形學的四元數（2011年）
- 電腦圖形學的旋轉變換（2011年）
- 幾何代數：電腦動畫和遊戲的代數系統（2009年）
- 電腦圖形學的幾何代數（2008年）

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