An analysis of cubic approximation schemes for conic sections

نویسنده

  • Michael S. Floater
چکیده

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. §

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عنوان ژورنال:
  • Adv. Comput. Math.

دوره 5  شماره 

صفحات  -

تاریخ انتشار 1996