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Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable
Paperback
Series: Geometry and Computing, Book 1
AlgebraGeneral MathematicsGeometry
ISBN13: 9783642092435
Publisher: Springer Nature
Published: Nov 30 2010
Pages: 728
Weight: 2.27
Height: 1.49 Width: 6.14 Depth: 9.21
Language: English
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.
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