Analytical inversion formula for uniformly attenuated fan-beam projections
- Univ. of Utah, Salt Lake City, UT (United States). Dept. of Radiology
In deriving algorithms to reconstruct single photon emission computed tomography (SPECT) projection data, it is important that the algorithm compensates for photon attenuation in order to obtain quantitative reconstruction results. A convolution backprojection algorithm was derived by Tretiak and Metz to reconstruct two-dimensional (2-D) transaxial slices from uniformly attenuated parallel-beam projections. Using transformation of coordinates, this algorithm can be modified to obtain a formulation useful to reconstruct uniformly attenuated fan-beam projections. Unlike that for parallel-beam projections, this formulation does not produce a filtered backprojection reconstruction algorithm but instead has a formulation that is an inverse integral operator with a spatially varying kernel. This algorithm thus requires more computation time than does the filtered backprojection reconstruction algorithm for the uniformly attenuated parallel-beam case. However, the fan-beam reconstructions demonstrate the same image quality as that of parallel-beam reconstructions.
- Sponsoring Organization:
- National Insts. of Health, Bethesda, MD (United States)
- OSTI ID:
- 477246
- Report Number(s):
- CONF-951073--
- Journal Information:
- IEEE Transactions on Nuclear Science, Journal Name: IEEE Transactions on Nuclear Science Journal Issue: 2 Vol. 44; ISSN 0018-9499; ISSN IETNAE
- Country of Publication:
- United States
- Language:
- English
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