Title: Semi-cardinal interpolation and difference equations: From cubic B-splines to a three-direction box-spline construction
Abstract: This paper considers the problem of interpolation on a semi-plane grid from a space of box-splines on the three-direction mesh. Building on a new treatment of univariate semi-cardinal interpolation for natural cubic splines, the solution is obtained as a Lagrange series with suitable localization and polynomial reproduction properties. It is proved that the extension of the natural boundary conditions to box-spline semi-cardinal interpolation attains half of the approximation order of the cardinal case.
Publication Year: 2005
Publication Date: 2005-12-15
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 8
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