Pythagorean-Hodograph Curves : Algebra and Geometry Inseparable (Geometry and Computing) 〈Vol. 1〉

Farouki, Rida T.

Springer（2007/10発売）

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製本 Hardcover:ハードカバー版／ページ数 745 p.
言語 ENG
商品コード 9783540733973

基本説明

Fantastic new textbook on mathematical background to computer-aided geometric design.

Full Description

By virtue of their special algebraic structures, Pythagorean-hodograph (PH) curves offer unique advantages for computer-aided design and manufacturing, robotics, motion control, path planning, computer graphics, animation, and related fields. This book offers a comprehensive and self-contained treatment of the mathematical theory of PH curves, including algorithms for their construction and examples of their practical applications. Special features include an emphasis on the interplay of ideas from algebra and geometry and their historical origins, detailed algorithm descriptions, and many figures and worked examples. The book may appeal, in whole or in part, to mathematicians, computer scientists, and engineers.