Highly Influential

6 Excerpts

- Published 1996 in Adv. Comput. Math.

In this paper a piece of a conic section is approximated by a cubic or piecewise cubic polynomial. The main tool is to define the two inner control points of the cubic as an affine combination, defined by λ ∈ [0, 1], of two control points of the conic. If λ is taken to depend on the weight w of the latter, a function λ(w) results which is used to distinguish between different algorithms and to analyze their properties. One of the approximations is a piecewise cubic having G continuity at the break points. §

@article{Floater1996AnAO,
title={An analysis of cubic approximation schemes for conic sections},
author={Michael S. Floater},
journal={Adv. Comput. Math.},
year={1996},
volume={5},
pages={361-379}
}