✦ LIBER ✦
Shape-preserving Hermite interpolants generated by a Gori–Pitolli subdivision scheme
✍ Scribed by Francesca Pelosi; Paul Sablonnière
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 911 KB
- Volume
- 220
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
In this paper we present a method for the construction of C 1 Hermite interpolants obtained from a particular family of refinable spline functions introduced by Gori and Pitolli. They constitute a one-parameter subfamily of the Hermite interpolants generated by the general Merrien's subdivision scheme. We compare this family to the other one-parameter subfamily studied by Merrien and Sablonnière and Lyche and Merrien on the solution of two-points Hermite interpolation problems with arbitrary monotonicity or convexity constraints.