Pythagorean-Hodograph (PH) Cubic Curves
Pythagorean-Hodograph (PH) Cubic Curves
A polynomial curve is a Pythagorean-Hodograph (PH) curve if + is the square of another polynomial. The lowest-degree curves satisfying this condition are PH-cubics, here presented in Bézier form. The degrees of freedom of such a curve let you choose three of the four control polygon points. The remaining point is then determined.
M(t)=(x(t),y(t))
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