Convergence of wavelet series and applications to computerized tomography

Anju Bala, Devendra Kumar, Balbir Singh

Abstract


In computerized tomography, an image must be recovered from datagiven by the Radon transform of the image. This data is usually in the form ofsampled values of the transform. In this paper we have proved some convergenceresults in generalized Sobolev space using the sampling properties of the prolatespheroidal wavelets which are superior to other wavelets. Our generalized Sobolevspace generalized the various spaces such as Schwartz space, Hormander space[5] andspace studied by Pathak[10].

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Anju Bala, Devendra Kumar, Balbir Singh, Convergence of wavelet series and applications to computerized tomography, Journal of Mathematical and Computational Science, Vol 2, No 3 (2012), 673-683

Copyright © 2012 Anju Bala, Devendra Kumar, Balbir Singh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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