Offset Approximation Along the Offset Direction for Planar Curve

Abstract

This paper proposed a wholly new offset approximation method. Based on the improvement of the best rational Chebyshev approximation theory, approximating the offset curve along the offset direction is investigated, and the approximation error is also measured along the offset direction, which could reflect the real approximation effect. Experiments show that the proposed method has advantage of low complexity, high precision, and global error control.