Pythagorean-Hodograph C-Curve

Chen Wenyu, Cao Juan, Wang Guozhao. Pythagorean-Hodograph C-CurveJ. Journal of Computer-Aided Design & Computer Graphics, 2007, 19(7): 822-827.

Citation:

Chen Wenyu, Cao Juan, Wang Guozhao. Pythagorean-Hodograph C-CurveJ. Journal of Computer-Aided Design & Computer Graphics, 2007, 19(7): 822-827.

Citation:

Chen Wenyu, Cao Juan, Wang Guozhao. Pythagorean-Hodograph C-CurveJ. Journal of Computer-Aided Design & Computer Graphics, 2007, 19(7): 822-827.

Abstract

The definition of Pythagorean-hodograph C-curve is given and a necessary and sufficient condition for a fourth-order plane C-curve to be a PH C-curve is obtained.A new geometric construction approach of fourth-order PH C-Bézier curves is also proposed.Finally,it is proved that higher order （＞4） PH Ccurves are either straight lines or polynomial PH curves.

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