Monotone and convex C1 Hermite interpolants generated by an adaptive subdivision scheme

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 333, Issue 5, 2001, Pages 493-497

  Merrien, Jean Louis ^a   Sablonnière, Paul ^a  

^a INSA DE RENNES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042369148     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(01)02072-9     Document Type: Article

References (6)

1. Carlson R.E., Fritsch F.N. Monotone piecewise cubic interpolation. SIAM J. Numer. Anal. 17:1980;238-246.
2. Edelman A., Micchelli C.A. Admissible slopes for monotone and convex interpolation. Numer. Math. 51:1987;441-458.
3. Merrien J.-L. A family of Hermite interpolants by bisection algorithms. Numer. Algorithms. 2:1992;187-200.
4. 1 Hermite interpolants generated by a subdivision scheme, Prépublication 01-17, Institut de recherche mathématique de Rennes, février 2001 (soumis).
5. 1 Merrien's interpolants, Prépublication 01-33, Institut de recherche mathématique de Rennes, mai 2001 (soumis).
6. Schumaker L.L. On shape preserving quadratic spline interpolation. SIAM J. Numer. Anal. 20:1983;854-864.