By advantage in their designated algebraic buildings, Pythagorean-hodograph (PH) curves provide certain merits for computer-aided layout and production, robotics, movement regulate, course making plans, special effects, animation, and comparable fields. This publication bargains a entire and self-contained remedy of the mathematical concept of PH curves, together with algorithms for his or her building and examples in their functional purposes. It emphasizes the interaction of rules from algebra and geometry and their historic origins and contains many figures, labored examples, and certain set of rules descriptions.
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