Author(s)

Yang Shen, Xingxuan Peng

School of Mathematics, Liaoning Normal University, Dalian, China.

The geometric characteristics and the construction for cubic indirect Pythagorean-hodograph (indirect-PH) curves are presented in this study. By introducing an auxiliary control point and a parameter respectively, two geometric characteristics in terms of quantities related to Bézier control polygon of the curve are given. Furthermore, based on the derived conditions we provide a new geometric modeling approach for the construction of cubic indirect-PH curves in detail. And at the end of this paper several numerical examples are presented to show the feasibility and validity of our algorithm.

Indirect Pythagorean-Hodograph, Bézier Curves, Geometric Characteristic, Control Polygon

Shen, Y. and Peng, X.X. (2022) Geometric Characteristics and Constructions of Cubic Indirect-PH Curves. Open Access Library Journal, 9, 1-9. doi: 10.4236/oalib.1109439.