Cardinal hermite interpolation with box splines

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1987 English Publisher:Springer Science and Business Media LLCJournal:Constructive Approximation, volume 3, pages 223-238 (issn: 0176-4276, eissn: 1432-0940,

Copyright policy )

Authors: Riemenschneider, Sherman; Scherer, Karl;

doi: 10.1007/bf01890566

Cardinal hermite interpolation with box splines

- Summary
- Subjects
- Metrics

Abstract

The authors initiate a study of multivariate cardinal Hermite interpolation: the interpolation of successive directional derivatives. It is assumed that the set T of directions satisfies a certain determinant condition and that each direction t occurs in T with even multiplicity. The cardinal Hermite interpolation is formulated in rather general terms and a procedure is given with a view to select the fundamental splines which describe the solution. The approach is in the Fourier transform domain.

Related Organizations

University of Bonn
Germany
University of Alberta
Canada

Keywords

Spline approximation, Multidimensional problems, multivariate cardinal Hermite interpolation, Interpolation in approximation theory, successive directional derivatives

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	5
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average