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商品描述
John Vince explains a comprehensive range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, special effects, virtual reality, CAD and other areas of computer graphics in this completely revised and expanded seventh edition.
The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on determinants, vectors, matrix algebra, complex numbers, geometric transforms, quaternion algebra, quaternions in space, interpolation, statistics, curves and patches, analytical geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new subject of geometric algebra, followed by two chapters that introduce differential and integral calculus. Finally, there are chapters on Fourier analysis and Worked examples.
Mathematics for Computer Graphics covers all of the key areas of the subject, including:
- Number sets
- Algebra
- Trigonometry
- Complex numbers
- Coordinate systems
- Determinants
- Vectors
- Quaternions
- Matrix algebra
- Geometric transforms
- Interpolation
- Curves and surfaces
- Analytic geometry
- Statistics
- Barycentric coordinates
- Geometric algebra
- Differential calculus
- Integral calculus
- Fourier analysis
This seventh edition contains approximately 200 worked examples and over 350 colour illustrations, which are central to the author's descriptive writing style. Mathematics for Computer Graphics provides a sound understanding of the mathematics required for computer graphics software and setting the scene for further reading of more advanced books and technical research papers.
商品描述(中文翻譯)
約翰·文斯（John Vince）在這本完全修訂和擴充的第七版中，解釋了與電腦遊戲、電腦動畫、特效、虛擬實境、CAD 及其他電腦圖形領域相關的廣泛數學技術和問題解決策略。
前五章涵蓋了一般介紹、數字集合、代數、三角學和座標系統，這些內容在隨後的章節中應用於行列式、向量、矩陣代數、複數、幾何變換、四元數代數、空間中的四元數、插值、統計、曲線和補丁、解析幾何以及重心坐標。接下來，讀者將接觸到相對較新的幾何代數主題，隨後有兩章介紹微分和積分計算。最後，還有關於傅立葉分析和實例的章節。
《電腦圖形學的數學》涵蓋了該主題的所有關鍵領域，包括：
- 數字集合
- 代數
- 三角學
- 複數
- 座標系統
- 行列式
- 向量
- 四元數
- 矩陣代數
- 幾何變換
- 插值
- 曲線和表面
- 解析幾何
- 統計
- 重心坐標
- 幾何代數
- 微分計算
- 積分計算
- 傅立葉分析
這第七版包含約 200 個實例和超過 350 幅彩色插圖，這些都是作者描述性寫作風格的核心。《電腦圖形學的數學》提供了對電腦圖形軟體所需數學的扎實理解，並為進一步閱讀更高級的書籍和技術研究論文奠定了基礎。
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:
- Calculus for Computer Graphics, 2nd edition (2019)
- Mathematics for Computer Graphics, 5th edition (2017)
- 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、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：
- 電腦圖形學微積分，第2版（2019年）
- 電腦圖形學數學，第5版（2017年）
- 電腦科學的虛構數學（2018年）
- 電腦科學基礎數學，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）
