Low degree euclidean and minkowski pythagorean hodograph curves

MMCS, pp. 394-418, 2008.

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Abstract:

In our contribution we study cubic and quintic Pythagorean Hodograph (PH) curves in the Euclidean and Minkowski planes. We analyze their control polygons and give necessary and sufficient conditions for cubic and quintic curves to be PH. In the case of Euclidean cubics the conditions are known and we provide a new proof. For the case of M...More

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