A piecewise parabolic C1 approximation technique for curved boundaries

  • McLeod R
  • Mitchell A
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Abstract

The parabola, in parametric form, is discussed as a suitable approximation to curved boundaries. The four degrees of freedom are specified locally by Hermite interpolation. This piecewise curve approximation can then be thought of as a locally defined C′ spline. A geometric norm, i.e. one which is invariant under the axes change is constructed and the approximation technique is analysed in this norm. A selection of graphical studies of piecewise approximations to a variety of curves, using this method, is given. © 1979.

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Authors

  • Robin J Y McLeod

  • A. R. Mitchell

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