Approximation of planar curves

Authors: MALIK ZAWWAR HUSSAIN, AYESHA SHAKEEL, MARIA HUSSAIN

Abstract: In the present article, we have developed the $G^{2}$-approximation scheme for planar curves arising in science, engineering, computer-aided design, computer-aided manufacturing, and many other fields. The obtained results reveal that the proposed method is a significant addition to the approximation of planar curves. The method is illustrated using different numerical examples. The smaller absolute error confirms the applicability and efficiency of the proposed method.

Keywords: Parabolic and elliptic arcs, $G^{2}$-constraints, parametric rational cubic function, absolute error

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