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.
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.
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.
| 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: | 24 Jan 2022 01:06 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1109/ICIP.2009.5414306 |
Delgado-Gonzalo, Ricard