The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
A computational study of reconstruction algorithms for diffraction tomography: Interpolation versus filtered-backpropagation
Abstract
From the standpoint of reporting a new contribution, this paper shows that by using bilinear interpolation followed by direct two-dimensional Fourier inversion, one can obtain reconstructions of quality which is comparable to that produced by the filtered-backpropagation algorithm proposed recently by Devaney. For an N × N image reconstructed from N diffracted projections, the former approach requires approximately 4N FFT's, whereas the backpropagation technique requires approximately N2FFT's. We have also taken this opportunity to present the reader with a tutorial introduction to diffraction tomography, an area that is becoming increasingly important not only in medical imaging, but also in underwater and seismic mapping with microwaves and sound. The main feature of the tutorial part is the statement of the Fourier diffraction projection theorem, which is an extension of the traditional Fourier slice theorem to the case of image formation with diffracting illumination.
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Cites
Wave Propagation and Scattering in Random Media
(1978) · Elsevier eBooks · doi:10.1016/c2013-0-10906-3 · Cited by 4,709
(1982) · Elsevier eBooks · doi:10.1016/c2009-0-21955-6 · Cited by 4,596
The Fourier reconstruction of a head section
Shepp, L. A., & Logan, B. F. (1974) · IEEE Transactions on Nuclear Science · doi:10.1109/tns.1974.6499235 · Cited by 2,179
Andersen, A. (1984) · Ultrasonic Imaging · doi:10.1016/0161-7346(84)90008-7 · Cited by 1,812
Splines and Variational Methods.
W., L. B., & Prenter, P. M. (1991) · Mathematics of Computation · doi:10.2307/2008555 · Cited by 1,135
Crowther, R. A., DeRosier, D. J., & Klug, A. (1970) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1970.0119 · Cited by 972
A Filtered Backpropagation Algorithm for Diffraction Tomography
Devaney, A. J. (1982) · Ultrasonic Imaging · doi:10.1177/016173468200400404 · Cited by 727
Digital reconstruction of multidimensional signals from their projections
Mersereau, R. M., & Oppenheim, A. V. (1974) · Proceedings of the IEEE · doi:10.1109/proc.1974.9625 · Cited by 435
Computerized tomography with X-ray, emission, and ultrasound sources
Kak, A. C. (1979) · Proceedings of the IEEE · doi:10.1109/proc.1979.11440 · Cited by 264
Self-citationDirect Fourier reconstruction in computer tomography
Stark, H., Woods, J., Paul, I., & Hingorani, R. (1981) · IEEE Transactions on Acoustics, Speech, and Signal Processing · doi:10.1109/tassp.1981.1163528 · Cited by 190
Cited by
Withayachumnankul, W., Png, G. M., Yin, X., Atakaramians, S., Jones, I., Lin, H., Ung, B. S. Y., Balakrishnan, J., Ng, B. W.-H., Ferguson, B., et al. (2007) · Proceedings of the IEEE · doi:10.1109/jproc.2007.900325 · Cited by 179
Metadata
- Authors
- Pan, S., & Kak, A.
- Venue
- IEEE Transactions on Acoustics, Speech, and Signal Processing
- Published
- 1983-10
- Volume
- 31
- Issue
- 5
- Pages
- 1262-1275
- ISSN
- 0096-3518 (ISSN-L)
- OpenAlex
- W2070154783
- Cited by
- 317
- References
- 11
- FWCI
- 15.09
- Type
- journal article
- Language
- en
- Open access
- closed
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