TITLE:
Geometric Characteristics and Constructions of Cubic Indirect-PH Curves
AUTHORS:
Yang Shen, Xingxuan Peng
KEYWORDS:
Indirect Pythagorean-Hodograph, Bézier Curves, Geometric Characteristic, Control Polygon
JOURNAL NAME:
Open Access Library Journal,
Vol.9 No.11,
November
2,
2022
ABSTRACT: 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.