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Fractional Laplacian Pyramids

R. Delgado-Gonzalo, P.D. Tafti, M. Unser

Proceedings of the 2009 IEEE International Conference on Image Processing (ICIP'09), Cairo, Egypt, November 7-11, 2009, pp. 3809-3812.

We provide an extension of the L2-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.

AUTHOR="Delgado-Gonzalo, R. and Tafti, P.D. and Unser, M.",
TITLE="Fractional Laplacian Pyramids",
BOOKTITLE="Proceedings of the 2009 {IEEE} International Conference on
        Image Processing ({ICIP'09})",
address="Cairo, Egypt",
month="November 7-11,",

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