High Accuracy Piecewise Approximation for Planar Curves PDF

Keywords

planar curves, cubic piecewise, approximation method

Abstract

A cubic piecewise approximation method is described for planar curves. The order of classical piecewise approximations is improved. The method exploits the freedom in the choice of the parametrization and raises the approximation order to 6. The cubic approximant and the curve have contact of second order. The examples show the simplicity of the construction and the Figures show the efficiency and the qualitative results of this approximation method.