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Fractional Laplacian Pyramids


Delgado-Gonzalo, Ricard; Tafti, Pouya Dehghani; Unser, Michael (2009). Fractional Laplacian Pyramids. In: International Conference on Image Processing, Cairo, Egypt, 7 November 2009 - 10 November 2009.

Abstract

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.

Abstract

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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Additional indexing

Item Type:Conference or Workshop Item (Paper), refereed, original work
Communities & Collections:Special Collections > SystemsX.ch
Special Collections > SystemsX.ch > Research, Technology and Development Projects > DynamiX
Dewey Decimal Classification:570 Life sciences; biology
Scopus Subject Areas:Physical Sciences > Software
Physical Sciences > Computer Vision and Pattern Recognition
Physical Sciences > Signal Processing
Language:English
Event End Date:10 November 2009
Deposited On:23 Jun 2013 15:35
Last Modified:10 Nov 2023 02:38
OA Status:Green
Publisher DOI:https://doi.org/10.1109/ICIP.2009.5414306