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Generalized Sampling Theory and Application to Multiresolutions and Wavelets of L2

A. Aldroubi, M. Unser

Proceedings of the SPIE Conference on Mathematical Imaging: Wavelet Applications in Signal and Image Processing, San Diego CA, USA, July 15-16, 1993, vol. 2034, pp. 24-32.


The authors use approximation theory to generalize the classical sampling procedure of Shannon. They give a link between this theory and the theory of wavelet transforms. As an application, they give a general method for constructing scaling and wavelet functions with specifiable properties.

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AUTHOR="Aldroubi, A. and Unser, M.",
TITLE="Generalized Sampling Theory and Application to
	Multiresolutions and Wavelets of {$L_{2}$}",
BOOKTITLE="Proceedings of the {SPIE} Conference on Mathematical
	Imaging: {W}avelet Applications in Signal and Image Processing",
YEAR="1993",
editor="",
volume="2034",
series="",
pages="24--32",
address="San Diego CA, USA",
month="July 15-16,",
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© 1993 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.
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