An FDK-like cone-beam SPECT reconstruction algorithm fornon-uniform attenuated projections acquired using a circulartrajectory
In this paper, Novikov's inversion formula of the attenuated two-dimensional (2D) Radon transform is applied to the reconstruction of attenuated fan-beam projections acquired with equal detector spacing and of attenuated cone-beam projections acquired with a flat planar detector and circular trajectory. The derivation of the fan-beam algorithm is obtained by transformation from parallel-beam coordinates to fan-beam coordinates. The cone-beam reconstruction algorithm is an extension of the fan-beam reconstruction algorithm using Feldkamp-Davis-Kress's (FDK) method. Computer simulations indicate that the algorithm is efficient and is accurate in reconstructing slices close to the central slice of the cone-beam orbit plane. When the attenuation map is set to zero the implementation is equivalent to the FDK method. Reconstructed images are also shown for noise corrupted projections.
- Research Organization:
- Ernest Orlando Lawrence Berkeley NationalLaboratory, Berkeley, CA (US)
- Sponsoring Organization:
- USDOE Director. Office of Science. Office of Biological andEnvironmental Research. Medical Sciences Division; National Institutes ofBiomedical Imaging and Bioengineering, National Institutes of Health.National Cancer Institute Grants CA100181 and EB00121
- DOE Contract Number:
- AC02-05CH11231
- OSTI ID:
- 860352
- Report Number(s):
- LBNL--57636; BnR: 400412000
- Journal Information:
- Physics in Medicine and Biology, Journal Name: Physics in Medicine and Biology Vol. 50; ISSN 0031-9155; ISSN PHMBA7
- Country of Publication:
- United States
- Language:
- English
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