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A Fast Sinc Function Gridding Algorithm for Fourier Inversion in Computer Tomography
Abstract
The Fourier inversion method for reconstruction of images in computerized tomography has not been widely used owing to the perceived difficulty of interpolating from polar or other measurement grids to the Cartesian grid required for fast numerical Fourier inversion. Although the Fourier inversion method is recognized as being computationally faster than the back-projection method for parallel ray projection data, the artifacts resulting from inaccurate interpolation have generally limited application of the method. This paper presents a computationally efficient gridding algorithm which can be used with direct Fourier transformation to achieve arbitrarily small artifact levels. The method has potential for application to other measurement geometries such as fan-beam projections and diffraction tomography and NMR imaging.
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Cites
Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
Slepian, D., & Pollak, H. O. (1961) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1961.tb03976.x · Cited by 2,492
Cited by
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Meyer, C. H., Hu, B. S., Nishimura, D. G., & Macovski, A. (1992) · Magnetic Resonance in Medicine · doi:10.1002/mrm.1910280204 · Cited by 866
Regridding reconstruction algorithm for real-time tomographic imaging
Marone, F., & Stampanoni, M. (2012) · Journal of Synchrotron Radiation · doi:10.1107/s0909049512032864 · Cited by 441
Real‐time MRI at a resolution of 20 ms
Uecker, M., Zhang, S., Voit, D., Karaus, A., Merboldt, K., & Frahm, J. (2010) · NMR in Biomedicine · doi:10.1002/nbm.1585 · Cited by 434
Three‐dimensional radial ultrashort echo‐time imaging with T2 adapted sampling
Rahmer, J., Börnert, P., Groen, J., & Bos, C. (2006) · Magnetic Resonance in Medicine · doi:10.1002/mrm.20868 · Cited by 273
Spiral K‐space MR imaging of cortical activation
Noll, D. C., Cohen, J. D., Meyer, C. H., & Schneider, W. (1995) · Journal of Magnetic Resonance Imaging · doi:10.1002/jmri.1880050112 · Cited by 254
Metadata
- Authors
- O'Sullivan, J. D.
- Venue
- IEEE Transactions on Medical Imaging
- Published
- 1985-12
- Volume
- 4
- Issue
- 4
- Pages
- 200-207
- ISSN
- 0278-0062 (ISSN-L)
- 1558-254X
- OpenAlex
- W2021925329
- Cited by
- 482
- References
- 1
- FWCI
- 0.82
- Type
- journal article
- Language
- en
- Open access
- closed
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- O'Sullivan, J. D. (1985). A Fast Sinc Function Gridding Algorithm for Fourier Inversion in Computer Tomography. IEEE Transactions on Medical Imaging. https://doi.org/10.1109/tmi.1985.4307723
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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