| Title | Fast inversion of the Radon transform using log-polar coordinates and partial back-projections |
| Authors | Fredrik Andersson |
| Alternative Location | http://dx.doi.org/10.1137/S..., Restricted Access |
| Publication | SIAM JOURNAL ON APPLIED MATHEMATICS |
| Year | 2005 |
| Volume | 65 |
| Issue | 3 |
| Pages | 818 - 837 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | SIAM PUBLICATIONS |
| Abstract English | In this paper a novel filtered back-projection algorithm for inversion of a discretized Radon transform is presented. It makes use of invariance properties possessed by both the Radon transform and its dual. By switching to log-polar coordinates, both operators can be expressed in a displacement invariant manner. Explicit expressions for the corresponding transfer functions are calculated. Furthermore, by dividing the back-projection into several partial back-projections, inversion can be performed by means of finite convolutions and hence implemented by an FFT-algorithm. In this way, a fast and accurate reconstruction method is obtained. |
| Keywords | Radon transform, filtered back-projection, |
| ISBN/ISSN/Other | ISSN: 0036-1399 |
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