Abstract
Filtered backprojection (FBP) reconstruction algorithm for attenuated fan-beam projections has been derived based on Novikov's inversion formula. The filtering is shift-invariant. The derivation uses a relation of partial derivative between the Cartesian and polar coordinates. We implemented the FBP algorithm and presented the numerical results. As a special application, we give a shift-invariant FBP algorithm for fan-beam SPECT reconstruction with uniform attenuation compensation. Some additional equivalent fan-beam algorithms are also discussed, In the attenuation-free case, our algorithm reduces to the conventional fan-beam FBP algorithm.
| Original language | English |
|---|---|
| Pages (from-to) | 3056-3060 |
| Number of pages | 5 |
| Journal | IEEE Nuclear Science Symposium Conference Record |
| Volume | 5 |
| State | Published - 2004 |
| Event | 2004 Nuclear Science Symposium, Medical Imaging Conference, Symposium on Nuclear Power Systems and the 14th International Workshop on Room Temperature Semiconductor X- and Gamma- Ray Detectors - Rome, Italy Duration: Oct 16 2004 → Oct 22 2004 |
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