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Applicable Analysis
An International Journal
Volume 83, 2004 - Issue 2
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Original Articles

The raised-cosine wavelets in computerized tomography

Tatiana Soleski Department of Mathematical Sciences, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, WI 53201-0413, USA
&
Gilbert Walter † Department of Mathematical Sciences, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, WI 53201-0413, USAView further author information
Pages 199-215 | Received 02 Jul 2003, Published online: 25 Jan 2007
 
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Abstract

In Computerized Tomography (CT), an image must be recovered from its sampled projections in the form of values of the Radon transform. In this work a method of recovering the image is based on the properties of the raised-cosine wavelet. This wavelet has a closed form which allows for certain precomputations and avoids convolution. The rate of convergence of the resulting algorithm to the image density function is found under suitable hypotheses. This algorithm is then tested on the standard Shepp–Logan

Notes

†E-mail: [email protected]

Additional information

Notes on contributors

Gilbert Walter Footnote†

†E-mail: [email protected]

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