Multiresolution reconstruction in fan-beam tomography

Author

Bonnet, Stéphane ; Peyrin, Françoise ; Turjman, Francis ; Prost, Rémy

Author_Institution

CREATIS, CNRS, Villeurbanne, France

Volume

11

Issue

3

fYear

2002

fDate

3/1/2002 12:00:00 AM

Firstpage

169

Lastpage

176

Abstract

In this paper, a new multiresolution reconstruction approach for fan-beam tomography is established. The theoretical development assumes radial wavelets. An approximate reconstruction formula based on a near-radial quincunx multiresolution scheme is proposed. This multiresolution algorithm allows to compute both the quincunx approximation and detail coefficients of an image from its fan-beam projections. Simulations on mathematical phantoms show that wavelet decomposition is acceptable for small beam angles but deteriorates at high angles. The main applications of the method are denoising and wavelet-based image analysis

Keywords

computerised tomography; image reconstruction; image resolution; medical image processing; wavelet transforms; Shepp-Logan head phantom; approximate reconstruction formula; computerized tomography; detail coefficients; fan-beam projections; fan-beam tomography; image denoising; mathematical phantoms; multiresolution reconstruction algorithm; near-radial quincunx multiresolution scheme; quincunx approximation; radial wavelets; wavelet decomposition; wavelet-based image analysis; Computed tomography; Continuous wavelet transforms; Discrete wavelet transforms; Geometry; Image reconstruction; Image resolution; Imaging phantoms; Multiresolution analysis; Noise reduction; Wavelet analysis;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/83.988951

Filename

988951