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An Analysis of Tension Methods for Convexity-Preserving Interpolation

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2 Author(s)
Fletcher, G.Y. ; North Carolina State University ; McAllister, D.F.

We introduce a Hermite-interpolating space general enough to include most commonly used tensioned interpolants, with conditions that allow others to be easily constructed. Each of these spaces may be associated with a convexity interval that gives a quantitative measure of its ability to produce convexity-preserving interpolants. This analysis is applied to produce a simple algorithm for constructing piecewise univariate C1 interpolants that preserve convexity of the data by adaptive tension application.

Published in:

Computer Graphics and Applications, IEEE  (Volume:7 ,  Issue: 8 )

Date of Publication:

Aug. 1987

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