By advantage in their specific algebraic constructions, Pythagorean-hodograph (PH) curves supply exact benefits for computer-aided layout and production, robotics, movement keep an eye on, direction making plans, special effects, animation, and comparable fields. This ebook deals a accomplished and self-contained remedy of the mathematical concept of PH curves, together with algorithms for his or her building and examples in their sensible functions. It emphasizes the interaction of principles from algebra and geometry and their historic origins and contains many figures, labored examples, and distinct set of rules descriptions.

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