Construction of spherical spline quasi-interpolants based on blossoming

Authors:
M. J. Ibáñez;A. Lamnii;H. Mraoui;D. Sbibih
Affiliations:
Universidad de Granada, Facultad de Ciencias, Departamento de Matemática Aplicada, Campus de Fuentenueva s/n, 18071-Granada, Spain;Université Mohammed I, Ecole Supérieure de Technologie, Laboratoire MATSI, Oujda, Maroc;Université Mohammed I, Ecole Supérieure de Technologie, Laboratoire MATSI, Oujda, Maroc;Université Mohammed I, Ecole Supérieure de Technologie, Laboratoire MATSI, Oujda, Maroc
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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Abstract

A general theory of quasi-interpolants based on quadratic spherical Powell-Sabin splines on spherical triangulations of a sphere-like surface S is developed by using polar forms. As application, various families of discrete and differential quasi-interpolants reproducing quadratic spherical Bezier-Bernstein polynomials or the whole space of the spherical Powell-Sabin quadratic splines of class C^1 are presented.