Mathematical Structures for Computer Graphics (Paperback)

Steven J. Janke

  • 出版商: Wiley
  • 出版日期: 2014-11-03
  • 定價: $2,350
  • 售價: 9.5$2,233
  • 語言: 英文
  • 頁數: 408
  • 裝訂: Hardcover
  • ISBN: 1118712196
  • ISBN-13: 9781118712191
  • 相關分類: Computer Graphics
  • 立即出貨 (庫存 < 3)

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商品描述

A comprehensive exploration of the mathematics behind the modeling and rendering of computer graphics scenes

Mathematical Structures for Computer Graphics presents an accessible and intuitive approach to the mathematical ideas and techniques necessary for two- and three-dimensional computer graphics. Focusing on the significant mathematical results, the book establishes key algorithms used to build complex graphics scenes.

Written for readers with various levels of mathematical background, the book develops a solid foundation for graphics techniques and fills in relevant graphics details often overlooked in the literature. Rather than use a rigid theorem/proof approach, the book provides a flexible discussion that moves from vector geometry through transformations, curve modeling, visibility, and lighting models. Mathematical Structures for Computer Graphics also includes:
 

  • Numerous examples of two- and three-dimensional techniques along with numerical calculations
  • Plenty of mathematical and programming exercises in each chapter, which are designed particularly for graphics tasks
  • Additional details at the end of each chapter covering historical notes, further calculations, and connected concepts for readers who wish to delve deeper
  • Unique coverage of topics such as calculations with homogeneous coordinates, computational geometry for polygons, use of barycentric coordinates, various descriptions for curves, and L-system techniques for recursive images


Mathematical Structures for Computer Graphics is an excellent textbook for undergraduate courses in computer science, mathematics, and engineering, as well as an ideal reference for practicing engineers, researchers, and professionals in computer graphics fields. The book is also useful for those readers who wish to understand algorithms for producing their own interesting computer images.

商品描述(中文翻譯)

《計算機圖形學的數學結構》是一本全面探索計算機圖形場景建模和渲染背後數學原理的書籍。

本書以易於理解和直觀的方式介紹了二維和三維計算機圖形所需的數學思想和技巧。著重於重要的數學結果,本書建立了用於構建複雜圖形場景的關鍵算法。

本書針對具有不同數學背景的讀者,為圖形技術打下了堅實的基礎,填補了文獻中常常被忽視的相關圖形細節。本書不僅僅使用嚴謹的定理/證明方法,還提供了靈活的討論,從向量幾何到變換、曲線建模、可見性和光照模型。

《計算機圖形學的數學結構》還包括:

- 大量的二維和三維技術示例以及數值計算
- 每章都有豐富的數學和編程練習,特別為圖形任務設計
- 每章末尾的附加細節,包括歷史注解、進一步計算和相關概念,供希望深入研究的讀者參考
- 獨特的主題涵蓋,例如使用齊次坐標進行計算、多邊形的計算幾何、重心坐標的使用、曲線的各種描述以及用於遞歸圖像的L系統技術

《計算機圖形學的數學結構》是一本優秀的本科課程教材,適用於計算機科學、數學和工程學專業,同時也是計算機圖形領域的實踐工程師、研究人員和專業人士的理想參考書。本書還適用於希望了解生成自己有趣計算機圖像算法的讀者。