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| Paper: | IMDSP-P4.5 |
| Session: | Image and Multidimensional Signal Processing: Theory and Methods |
| Time: | Tuesday, May 18, 15:30 - 17:30 |
| Presentation: |
Poster |
| Topic: |
Image and Multidimensional Signal Processing: M-D Signal Processing Theory and Methods |
| Title: |
POLYHARMONIC SMOOTHING SPLINES FOR MULTI-DIMENSIONAL SIGNALS WITH 1/ ||omega|| ^tau - LIKE SPECTRA |
| Authors: |
Shai Tirosh; Swiss Federal Institute of Technology (EPFL) | | |
| | Dimitri Van De Ville; Swiss Federal Institute of Technology (EPFL) | | |
| | Michael Unser; Swiss Federal Institute of Technology (EPFL) | | |
| Abstract: |
Motivated by the fractal-like behavior of natural images, we propose a new smoothing technique that uses a regularization functional which is a fractional iterate of the Laplacian. This type of functional has previously been introduced by Duchon in the context of radial basis functions (RBFs) for the approximation of non-uniform data. Here, we introduce a new solution to Duchon's smoothing problem in multiple dimensions using non-separable fractional polyharmonic B-splines. The smoothing is performed in the Fourier domain by filtering, thereby making the algorithm fast enough for most multi-dimensional real-time applications. |
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