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Title: High order parametric polynomial approximation of conic sections

 

Abstract: In this talk a particular shape preserving parametric polynomial approximation of conic sections will be presented. An ellipse and a hyperbola can be represented in a parametric form using e.g. trigonometric and hyperbolic functions. But, in contrast to a parabola, they do not have a parametric polynomial parameterization. In many applications a parametric polynomial approximation of conic sections is needed and it is important to derive accurate polynomial approximants. We will derive polynomial approximants with the highest possible approximation order in a closed form.