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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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