BIVARIATE INTERPOLATION BY $(m,n)$–SPLINES

TitleBIVARIATE INTERPOLATION BY $(m,n)$–SPLINES
Publication TypeJournal Article
Year of Publication2003
AuthorsGeorgieva I
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume95
Keywordsinterpolation, multyvariate polynomials, Radon transform, reconstruction
Abstract

We study the problem of interpolation and approximation of bivariate functions by $(m,n)$-splines, that is, by functions $\phi (x,y)$ for which $\phi ^{(m,n)}(x,y)$ is a piece-wise constant.

2000 MSC

41A63, 41A10, 65D15, 65T99

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