By advantage in their distinctive algebraic buildings, Pythagorean-hodograph (PH) curves provide distinctive merits for computer-aided layout and production, robotics, movement keep watch over, course making plans, special effects, animation, and comparable fields. This booklet deals a entire and self-contained therapy of the mathematical conception of PH curves, together with algorithms for his or her development and examples in their sensible purposes. It emphasizes the interaction of principles from algebra and geometry and their ancient origins and comprises many figures, labored examples, and designated set of rules descriptions.

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