The raised-cosine wavelets in computerized tomography

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
• Ams Subject Classification: 42C40
• 94A08

Notes

^†E-mail: [email protected]

Additional information

Notes on contributors

Gilbert Walter †

†E-mail: [email protected]