G^2-Approximation of Circular Arcs by C-Bézier Curve: An Alternate Approach
Malik Zawwar Hussain, Ayesha Shakeel, Maria Hussain
Abstract
Malik Zawwar Hussain, Ayesha Shakeel, Maria Hussain
Abstract
An alternate scheme is presented for the approximation of a circular arc using cubic C-Bézier curve. The G^2-constraints at the end points of the curves are used for the evaluation of the control points. The proposed approximation scheme yields smaller absolute radius error than the prevailing methods.
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An alternate scheme is presented for the approximation of a circular arc using cubic C-Bézier curve. The G^2-constraints at the end points of the curves are used for the evaluation of the control points. The proposed approximation scheme yields smaller absolute radius error than the prevailing methods.
Key concepts: Approximation error, RADIUS, Bézier curve, Arc (geometry), Mathematics, Approximation algorithm, Curve fitting, Approximation theory