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  1. Journal of Fourier Analysis and Applications
  2. Journal of Fourier Analysis and Applications : Volume 15
  3. Journal of Fourier Analysis and Applications : Volume 15, Issue 5, October 2009
  4. Multivariate F-splines and Fractional Box Splines
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Journal of Fourier Analysis and Applications : Volume 23
Journal of Fourier Analysis and Applications : Volume 22
Journal of Fourier Analysis and Applications : Volume 21
Journal of Fourier Analysis and Applications : Volume 20
Journal of Fourier Analysis and Applications : Volume 19
Journal of Fourier Analysis and Applications : Volume 18
Journal of Fourier Analysis and Applications : Volume 17
Journal of Fourier Analysis and Applications : Volume 16
Journal of Fourier Analysis and Applications : Volume 15
Journal of Fourier Analysis and Applications : Volume 15, Issue 6, December 2009
Journal of Fourier Analysis and Applications : Volume 15, Issue 5, October 2009
Preface
Dimension Functions of Rationally Dilated GMRAs and Wavelets
Generalized Multiresolution Analyses with Given Multiplicity Functions
Anisotropic Meshless Frames on ℝ n
Nitsche’s Method for a Transport Problem in Two-phase Incompressible Flows
Matrix Extension with Symmetry and Applications to Symmetric Orthonormal Complex M-wavelets
A New Scheme for the Tensor Representation
Multivariate F-splines and Fractional Box Splines
Construction of Interpolating Scaling Vectors with Hermite Interpolation Property
Journal of Fourier Analysis and Applications : Volume 15, Issue 4, August 2009
Journal of Fourier Analysis and Applications : Volume 15, Issue 3, June 2009
Journal of Fourier Analysis and Applications : Volume 15, Issue 2, April 2009
Journal of Fourier Analysis and Applications : Volume 15, Issue 1, February 2009
Journal of Fourier Analysis and Applications : Volume 14
Journal of Fourier Analysis and Applications : Volume 13
Journal of Fourier Analysis and Applications : Volume 12
Journal of Fourier Analysis and Applications : Volume 11
Journal of Fourier Analysis and Applications : Volume 10
Journal of Fourier Analysis and Applications : Volume 9
Journal of Fourier Analysis and Applications : Volume 8
Journal of Fourier Analysis and Applications : Volume 7
Journal of Fourier Analysis and Applications : Volume 6
Journal of Fourier Analysis and Applications : Volume 5
Journal of Fourier Analysis and Applications : Volume 4
Journal of Fourier Analysis and Applications : Volume 3

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Multivariate F-splines and Fractional Box Splines

Content Provider SpringerLink
Author Xu, Zhiqiang
Copyright Year 2009
Abstract We introduce multivariate F-splines, including multivariate F-truncated powers T f (⋅|M) and F-box splines B f (⋅|M). The classical multivariate polynomial splines and multivariate E-splines can be considered as a special case of multivariate F-splines. We document the main properties of T f (⋅|M) and B f (⋅|M). Using T f (⋅|M), we extend fractional B-splines to fractional box splines and show that these functions satisfy most of the properties of the traditional box splines.Our work unifies and generalizes results due to Dahmen-Micchelli, de Boor-Höllig, Ron and Unser-Blu, and also presents a new tool for computing the integration over polytopes.
Ending Page 738
Page Count 16
Starting Page 723
File Format PDF
ISSN 10695869
e-ISSN 15315851
Journal Journal of Fourier Analysis and Applications
Issue Number 5
Volume Number 15
Language English
Publisher SP Birkhäuser Verlag Boston
Publisher Date 2009-07-25
Publisher Place Boston
Access Restriction Subscribed
Subject Keyword Abstract Harmonic Analysis Fractional B-splines Fourier Analysis Splines Signal, Image and Speech Processing Approximations and Expansions Box splines Multivariate truncated powers Applications of Mathematics Partial Differential Equations Spline approximation Wavelets and other special systems
Content Type Text
Resource Type Article
Subject Analysis Applied Mathematics
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