Geometric Continuity of Curves and Surfaces
暫譯: 曲線與曲面的幾何連續性

Przemyslaw Kiciak

  • 出版商: Morgan & Claypool
  • 出版日期: 2016-10-02
  • 售價: $2,890
  • 貴賓價: 9.5$2,746
  • 語言: 英文
  • 頁數: 250
  • 裝訂: Paperback
  • ISBN: 1627059059
  • ISBN-13: 9781627059053
  • 海外代購書籍(需單獨結帳)

商品描述

This book is written for students, CAD system users and software developers who are interested in geometric continuity-a notion needed in everyday practice of Computer-Aided Design and also a hot subject of research. It contains a description of the classical geometric spline curves and a solid theoretical basis for various constructions of smooth surfaces. Textbooks on computer graphics usually cover the most basic and necessary information about spline curves and surfaces in order to explain simple algorithms. In textbooks on geometric design, one can find more details, more algorithms and more theory. This book teaches how various parts of the theory can be gathered together and turned into constructions of smooth curves and smooth surfaces of arbitrary topology.

The mathematical background needed to understand this book is similar to what is necessary to read other textbooks on geometric design; most of it is basic linear algebra and analysis. More advanced mathematical material is introduced using elementary explanations. Reading Geometric Continuity of Curves and Surfaces provides an excellent opportunity to recall and exercise necessary mathematical notions and it may be your next step towards better practice and higher understanding of design principles.

商品描述(中文翻譯)

這本書是為對幾何連續性感興趣的學生、CAD 系統使用者和軟體開發人員所撰寫的,這是一個在電腦輔助設計的日常實踐中所需的概念,也是當前研究的熱門主題。書中包含了經典幾何樣條曲線的描述,以及各種平滑曲面構造的堅實理論基礎。電腦圖形學的教科書通常涵蓋有關樣條曲線和平滑曲面的最基本和必要的信息,以解釋簡單的演算法。在幾何設計的教科書中,可以找到更多的細節、更多的演算法和更多的理論。本書教導如何將理論的各個部分整合在一起,並轉化為任意拓撲的平滑曲線和平滑曲面的構造。

理解本書所需的數學背景與閱讀其他幾何設計教科書所需的相似;大部分是基本的線性代數和分析。更高級的數學材料則使用基本的解釋來引入。閱讀《曲線與曲面的幾何連續性》提供了一個絕佳的機會來回顧和練習必要的數學概念,這可能是您邁向更好實踐和更高理解設計原則的下一步。