IBM Journal of Research and Development
High accurate rational approximation of parametric curves
Selected papers of the international symposium on Free-form curves and free-form surfaces
The conformal map z→z2 of the hodograph plane
Computer Aided Geometric Design
The NURBS book
Geometric Hermite interpolation with Tschirnhausen cubics
Journal of Computational and Applied Mathematics
Computer Aided Geometric Design
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Geometric Hermite interpolation with circular precision
Computer-Aided Design
G2 Hermite interpolation with circular precision
Computer-Aided Design
G1 Hermite interpolation by PH cubics revisited
Computer Aided Geometric Design
High accuracy geometric Hermite interpolation
Computer Aided Geometric Design
A scheme for interpolation with trigonometric spline curves
Journal of Computational and Applied Mathematics
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Based on the technique of C-shaped G^1 Hermite interpolation by a cubic Pythagorean-hodograph (PH) curve, we present a simple method for C-shaped G^2 Hermite interpolation by a rational cubic Bezier curve. The method reproduces a circular arc when the input data come from it. Both the Bezier control points, which have a well-understood geometrical meaning, and the weights of the resulting rational cubic Bezier curve are expressed in explicit form. We test our method with many numerical examples, and some of them are presented here to demonstrate the properties of our method. The comparison between our method and a previous method is also included.