| 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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