Pythagorean-Hodograph Curves: Algebra And Geometry Inseparable (Geometry And Computing)
Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable (Geometry and Computing)
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. It emphasizes the interplay of ideas from algebra and geometry and their historical origins and includes many figures, worked examples, and detailed algorithm descriptions.
From the reviews:
"This book is a learned treatise on Pythagorean-Hodograph curves … . The book is very well written and contains a wealth of interesting information, not only about its main subject matter but also about the background material on algebra, geometry, and computer-aided geometric design, including historical references and quotes. The prime audience for this book is students, researchers, and professionals working in computer-aided design and manufacturing, but anyone interested in mathematics, geometric modeling, or computer graphics and animation will learn much interesting mathematics from it." (Luiz Henrique de Figueiredo, MathDL, January, 2008)
"Pythagorean hodograph (PH) curves form a remarkable subclass of polynomial curves. …...