Mathematics for Computer Graphics (Undergraduate Topics in Computer Science)

John Vince

  • 出版商: Springer
  • 出版日期: 2017-09-11
  • 售價: $2,640
  • 貴賓價: 9.5$2,508
  • 語言: 英文
  • 頁數: 505
  • 裝訂: Paperback
  • ISBN: 1447173341
  • ISBN-13: 9781447173342
  • 相關分類: Computer-ScienceComputer Graphics
  • 立即出貨 (庫存=1)

商品描述

John Vince explains a wide range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, virtual reality, CAD and other areas of computer graphics in this completely revised and expanded fifth edition.

The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on vectors, matrix algebra, transforms, interpolation, curves and patches, analytic geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new topic of geometric algebra, followed by two chapters that introduce differential and integral calculus. Finally, there is a chapter on worked examples.

Mathematics for Computer Graphics covers all of the key areas of the subject, including:

·        Number sets

 

·        Algebra

·        Trigonometry

·        Coordinate systems

·        Determinants

 

·        Vectors

 

·        Quaternions

·        Matrix algebra

·        Geometric transforms

·        Interpolation

 

·        Curves and surfaces

·        Analytic geometry

·        Barycentric coordinates

·        Geometric algebra

·        Differential calculus

 

·        Integral calculus

This fifth edition contains over 120 worked examples and over 320 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, giving a fascinating insight into the design of 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)

John Vince在這本完全修訂和擴充的第五版中解釋了與電腦遊戲、電腦動畫、虛擬現實、CAD和其他電腦圖形領域相關的各種數學技巧和問題解決策略。

前五章介紹了一般介紹、數字集合、代數、三角學和座標系統,這些知識在後面的章節中用於向量、矩陣代數、變換、插值、曲線和片段、解析幾何和重心座標。在此之後,讀者將介紹相對較新的幾何代數主題,然後是兩章介紹微分和積分計算。最後,還有一章關於實例的解析。

《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
- 座標系統
- 行列式
- 向量
- 四元數
- 矩陣代數
- 幾何變換
- 插值
- 曲線和曲面
- 解析幾何
- 重心座標
- 幾何代數
- 微分計算
- 積分計算

這本第五版包含超過120個實例和320多個彩色插圖,這些是作者描述性寫作風格的核心。《電腦圖形學的數學》提供了對於電腦圖形所需的數學的深入理解,讓讀者深入了解電腦圖形軟體的設計,並為進一步閱讀更高級的書籍和技術研究論文奠定基礎。