Construction of quintic Powell�Sabin spline quasi-interpolants based on blossoming

• Autores: M. Lamnii, H. Mraoui, A. Tijini
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 250, Nº 1, 2013, págs. 190-209
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.03.023
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• Resumen

  • By blossoming Marsden�s identity, we investigate local quasi-interpolation schemes for C2-continuous quintic Powell�Sabin splines represented with a normalized B-spline basis.

    As applications, various families of discrete and differential quasi-interpolants reproducing quintic polynomials are presented.