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The Fourier reconstruction of a head section
Abstract
The Fourier reconstruction may be viewed simply in the spatial domain as the sum of each line integral times a weighting function of the distance from the line to the point of reconstruction. A modified weighting function simultaneously achieves accuracy, simplicity, low computation time, as well as low sensitivity to noise. Using a simulated phantom, the authors compare the Fourier algorithm and a search algorithm. The search algorithm required 12 iterations to obtain a reconstruction of accuracy and resolution comparable to that of the Fourier reconstruction, and was more sensitive to noise. To speed the search algorithm by using fewer interactions leaves decreased resolution in the region just inside the skull which could mask a subdural hematoma.
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Citations
Cited by
Maximum Likelihood Reconstruction for Emission Tomography
Shepp, L. A., & Vardi, Y. (1982) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.1982.4307558 · Cited by 4,429
Self-citationFourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domains
Tancik, M., Srinivasan, P. P., Mildenhall, B., Fridovich-Keil, S., Raghavan, N., Singhal, U., Ramamoorthi, R., Barron, J. T., & Ng, R. (2020) · arXiv · doi:10.48550/arxiv.2006.10739 · Cited by 1,459
A Statistical Model for Positron Emission Tomography
Vardi, Y., Shepp, L. A., & Kaufman, L. (1985) · Journal of the American Statistical Association · doi:10.1080/01621459.1985.10477119 · Cited by 863
Self-citationThree-Dimensional X-Ray Microtomography
Flannery, B. P., Deckman, H. W., Roberge, W. G., & D'Amico, K. L. (1987) · Science · doi:10.1126/science.237.4821.1439 · Cited by 773
High-resolution image recovery from image-plane arrays, using convex projections
Stark, H., & Oskoui, P. (1989) · Journal of the Optical Society of America A · doi:10.1364/josaa.6.001715 · Cited by 734
Metadata
- Authors
- Shepp, L. A., & Logan, B. F.
- Venue
- IEEE Transactions on Nuclear Science
- Published
- 1974-06
- Volume
- 21
- Issue
- 3
- Pages
- 21-43
- ISSN
- 0018-9499 (ISSN-L)
- 1558-1578
- OpenAlex
- W2039472483
- Cited by
- 2,179
- References
- 0
- FWCI
- 24.91
- Type
- journal article
- Language
- en
- Open access
- closed
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- Shepp, L. A., & Logan, B. F. (1974). The Fourier reconstruction of a head section. IEEE Transactions on Nuclear Science. https://doi.org/10.1109/tns.1974.6499235
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