Publication: Fractional Laplacian Pyramids
Fractional Laplacian Pyramids
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Delgado-Gonzalo, R., Tafti, P. D., & Unser, M. (2009, November 10). Fractional Laplacian Pyramids. International Conference on Image Processing, Cairo. https://doi.org/10.1109/ICIP.2009.5414306
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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.
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Delgado-Gonzalo, R., Tafti, P. D., & Unser, M. (2009, November 10). Fractional Laplacian Pyramids. International Conference on Image Processing, Cairo. https://doi.org/10.1109/ICIP.2009.5414306