Segmented Optimal Multi-Degree Reduction Approximation of Bézier Curve

Abstract

This paper presents a segmented optimal multi-degree reduction approximation method for Bézier curve based on the combination of optimal function approximation and segmentation algorithm. In the proposed method, each Bernstein basis function is optimally approximated by the linear combination of lower power S bases. The piecewise curve of Bernstein basis function is replaced by the obtained optimal approximation functions. The proposed method is simple and intuitive. Experiments manifest that it improves the approximation performance.