Elementarym-harmonic cardinal B-splines

@article{Rabut1992ElementarymharmonicCB,
  title={Elementarym-harmonic cardinal B-splines},
  author={Christophe Rabut},
  journal={Numerical Algorithms},
  year={1992},
  volume={2},
  pages={39-61}
}
We generalize the notion of B-spline to the thin plate splines and to otherd-dimensional polyharmonic splines as defined in [Duchon, [3]]; for regular nets, we give the main properties of these “B-splines”: Fourier transform, decay when ∥x∥ → ∞, stability, integration property, links between B-splines of different orders or of different dimensions and in particular link with the polynomial B-splines, approximation using B-splines... We show that, in some sense, B-splines may be considered as a… CONTINUE READING
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