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Wang, G. and Fang, L. (2009) On Control Polygons of Quartic Pythagorean-Hodograph Curves. Computer Aided Geometric Design, 9, 1006-1015. https://doi.org/10.1016/j.cagd.2009.08.003

has been cited by the following article:

• 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.