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Convexity preserving piecewise rational interpolation for planar curves. (English) Zbl 0763.65004

A \(C^ 1\) piecewise rational cubic Hermite interpolant with one shape parameter is used to present a \(C^ 1\) convexity preserving plane curve method. This provides an extension of the corresponding results by R. Delbourgo and J. A. Gregory [SIAM J. Sci. Stat. Comput 6, 967- 976 (1985; Zbl 0586.65006)].

MSC:

65D05 Numerical interpolation
65D17 Computer-aided design (modeling of curves and surfaces)

Citations:

Zbl 0586.65006
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