%0 Journal Article
%T Geometric Characteristics and Constructions of Cubic Indirect-PH Curves
%A Yang Shen
%A Xingxuan Peng
%J Open Access Library Journal
%V 9
%N 11
%P 1-9
%@ 2333-9721
%D 2022
%I Open Access Library
%R 10.4236/oalib.1109439
%X 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 B¨¦zier 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.
%K Indirect Pythagorean-Hodograph
%K B¨¦zier Curves
%K Geometric Characteristic
%K Control Polygon
%U http://www.oalib.com/paper/6783907