Fractional Laplacian Pyramids

We provide an extension of the L-2-spline pyramid (Unser et al., 1993) using polyharmonic splines. We analytically prove that the corresponding error pyramid behaves exactly as a multi-scale Laplace operator. We use the multiresolution properties of polyharmonic splines to derive an efficient, non-separable filterbank implementation. Finally, we illustrate the potentials of our pyramid by performing an estimation of the parameters of multivariate fractal processes.


Published in:
2009 16Th Ieee International Conference On Image Processing, Vols 1-6, 3765-3768
Presented at:
16th IEEE International Conference on Image Processing, Cairo, EGYPT, Nov 07-10, 2009
Year:
2009
Publisher:
Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa
Keywords:
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 Record created 2010-11-30, last modified 2018-01-28

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