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Open Access Green as soon as Postprint is submitted to ZB.
Multivariate interpolation with fundamental splines of fractional order.
Proc. Appl. Math. Mech. 11, 857-858 (2011)
Fractional B-splines Bσ, σ ≥ 1, are piecewise polynomials of fractional degree that interpolate the classical Schoenberg splines equation image, with respect to the degree. As the Schoenberg splines of order ≥ 3, they in general do not satisfy the interpolation property equation image. However, the application of the interpolation filter equation image—if well-defined—in the frequency domain yields a fundamental spline of fractional order that does satisfy the interpolation property. We extend these result via ridge functions to multivariate fractional B-splines.
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Publication type
Article: Journal article
Document type
Scientific Article
Editors
Brenn, G.* ; Holzapfel, G.A.* ; Schanz, M.* ; Steinbach, O.*
Keywords
no keywords
e-ISSN
1617-7061
Quellenangaben
Volume: 11,
Issue: 1,
Pages: 857-858
Publisher
Wiley
Publishing Place
Weinheim
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)