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Zbl 0763.65004
Convexity preserving piecewise rational interpolation for planar curves.
(English)
[J] Bull. Korean Math. Soc. 29, No.2, 193-200 (1992). ISSN 1015-8634

A $C\sp 1$ piecewise rational cubic Hermite interpolant with one shape parameter is used to present a $C\sp 1$ convexity preserving plane curve method. This provides an extension of the corresponding results by {\it R. Delbourgo} and {\it J. A. Gregory} [SIAM J. Sci. Stat. Comput 6, 967- 976 (1985; Zbl 0586.65006)].
[H.P.Dikshit (New Delhi)]
MSC 2000:
*65D05 Interpolation (numerical methods)
65D17 Computer aided design (modeling of curves and surfaces)

Keywords: piecewise rational interpolation; piecewise rational cubic Hermite interpolant; shape parameter; convexity preserving plane curve method

Citations: Zbl 0586.65006

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