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  4. Polyharmonic Smoothing Splines for Multi-Dimensional Signals with 1 ⁄ $ ||ω|| ^{ \tau } $ -Like Spectra
 
conference paper

Polyharmonic Smoothing Splines for Multi-Dimensional Signals with 1 ⁄ $ ||ω|| ^{ \tau } $ -Like Spectra

Tirosh, S.
•
Van De Ville, D.  
•
Unser, M.  
2004
Proceedings of the Twenty-Ninth IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'04)

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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Type
conference paper
DOI
10.1109/ICASSP.2004.1326540
Author(s)
Tirosh, S.
Van De Ville, D.  
Unser, M.  
Date Issued

2004

Publisher

IEEE

Published in
Proceedings of the Twenty-Ninth IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'04)
Issue

Montréal QC, CA

Start page

297

End page

300

URL

URL

http://bigwww.epfl.ch/publications/tirosh0401.html

URL

http://bigwww.epfl.ch/publications/tirosh0401.pdf

URL

http://bigwww.epfl.ch/publications/tirosh0401.ps
Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LIB  
Available on Infoscience
September 18, 2015
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/118093
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