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research article

Wavelet Primal Sketch Representation Using Marr Wavelet Pyramid and Its Reconstruction

Van De Ville, D.  
•
Unser, M.  
2009
Proceedings of the SPIE Conference on Mathematical Imaging: Wavelet XIII

Based on the class of complex gradient-Laplace operators, we show the design of a non-separable two-dimensional wavelet basis from a single and analytically defined generator wavelet function. The wavelet decomposition is implemented by an efficient FFT-based filterbank. By allowing for slight redundancy, we obtain the Marr wavelet pyramid decomposition that features improved translation-invariance and steerability. The link with Marr's theory of early vision is due to the replication of the essential processing steps (Gaussian smoothing, Laplacian, orientation detection). Finally, we show how to find a compact multiscale primal sketch of the image, and how to reconstruct an image from it.

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Type
research article
DOI
10.1117/12.825972
Author(s)
Van De Ville, D.  
Unser, M.  
Date Issued

2009

Publisher

SPIE

Published in
Proceedings of the SPIE Conference on Mathematical Imaging: Wavelet XIII
Issue

San Diego CA, USA

Start page

74460W

End page

1

URL

URL

http://bigwww.epfl.ch/publications/vandeville0902.html

URL

http://bigwww.epfl.ch/publications/vandeville0902.pdf

URL

http://bigwww.epfl.ch/publications/vandeville0902.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/20.500.14299/118159
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