Construction of spherical spline quasi-interpolants based on blossoming |
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| Authors: | M.J. Ibá ñ ez |
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| Affiliation: | a Universidad de Granada, Facultad de Ciencias, Departamento de Matemática Aplicada, Campus de Fuentenueva s/n, 18071-Granada, Spain
b Université Mohammed I, Ecole Supérieure de Technologie, Laboratoire MATSI, Oujda, Maroc |
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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 Bézier-Bernstein polynomials or the whole space of the spherical Powell-Sabin quadratic splines of class C1 are presented. |
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| Keywords: | 41A15 65D05 65D17 |
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