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Local shape control of the rational interpolation curves with quadratic denominator. (English) Zbl 1179.65011

Summary: A rational cubic interpolating spline with quadratic denominator was constructed by J. A. Gregory et al. [Computers and Graphics 18, No. 2, 153–159 (1994)]. This paper deals with the properties of the interpolation and local shape control of the interpolant curves. The methods of value control, convex control and inflection-point control of the interpolation at a point are developed. Some numerical examples are provided to illustrate these methods.

MSC:

65D05 Numerical interpolation
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