Abstract
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 weightw 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 havingG 4 continuity at the break points.
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Communicated by T. Sederburg
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Floater, M.S. An analysis of cubic approximation schemes for conic sections. Adv Comput Math 5, 361–379 (1996). https://doi.org/10.1007/BF02124751
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DOI: https://doi.org/10.1007/BF02124751