EPFL
 Biomedical Imaging GroupSTI
EPFL
  Publications
English only   BIG > Publications > Oblique Projections


 CONTENTS
 Home Page
 News & Events
 People
 Publications
 Tutorials and Reviews
 Research
 Demos
 Download Algorithms

 DOWNLOAD
 PDF
 Postscript
 All BibTeX References

Oblique Projections in Discrete Signal Subspaces of l2 and the Wavelet Transform

A. Aldroubi, M. Unser

Proceedings of the SPIE Conference on Mathematical Imaging: Wavelet Applications in Signal and Image Processing II, San Diego CA, USA, July 24-29, 1994, vol. 2303, pp. 36-46.



We study the general problem of oblique projections in discrete shift-invariant spaces of l2 and we give error bounds on the approximation. We define the concept of discrete multiresolutions and wavelet spaces and show that the oblique projections on certain subclasses of discrete multiresolutions and their associated wavelet spaces can be obtained using perfect reconstruction filter banks. Therefore we obtain a discrete analog of the Cohen-Daubechies-Feauveau results on biorthogonal wavelets.


@INPROCEEDINGS(http://bigwww.epfl.ch/publications/aldroubi9401.html,
AUTHOR="Aldroubi, A. and Unser, M.",
TITLE="Oblique Projections in Discrete Signal Subspaces of {$l_{2}$}
        and the Wavelet Transform",
BOOKTITLE="Proceedings of the {SPIE} Conference on Mathematical
        Imaging: {W}avelet Applications in Signal and Image Processing
        {II}",
YEAR="1994",
editor="",
volume="2303",
series="",
pages="36--46",
address="San Diego CA, USA",
month="July 24-29,",
organization="",
publisher="",
note="")

© 1994 SPIE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from SPIE.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.