Abstract
Single photon emission computed tomography (SPECT) is based on the measurement of radiation emitted by a radiotracer injected into the patient. Because of photoelectric absorption and Compton scatter, the gamma photons are attenuated inside the body before arriving at the detector. A quantitative reconstruction must consider the attenuation, which is usually nonuniform. Novikov has derived an explicit inversion formula for the nonuniformly attenuated Radon transform for SPECT reconstruction of parallel-beam collimated projections. In this paper, we extend his research to variable focal-length fan-beam VFF collimator geometry. A ray-driven analytical formula for VFF reconstruction with nonuniform attenuation was derived. As a unified framework, this formula can be used for parallel-beam, fan-beam, and VFF collimators. Its accuracy is demonstrated by computer simulation experiments.
| Original language | English |
|---|---|
| Pages (from-to) | 1541-1549 |
| Number of pages | 9 |
| Journal | IEEE Transactions on Nuclear Science |
| Volume | 50 |
| Issue number | 5 II |
| DOIs | |
| State | Published - Oct 2003 |
Keywords
- Analytical SPECT reconstruction
- Nonuniform attenuation
- Variable focal length
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