The raised-cosine wavelets in computerized tomography

Authors: Tatiana Soleski; Gilbert Walter

Source: Applicable Analysis, Volume 83, Number 2, February 2004 , pp. 199-215(17)

Publisher: Taylor and Francis Ltd

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

Keywords: Raised-cosine wavelets; Sampling theory; Radon transform; Computerized tomography

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00036810310001632862

Publication date: 2004-02-01

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