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Digital reconstruction of multidimensional signals from their projections
Open accessAbstract
In a wide variety of applications it is necessary to infer the structure of a multidimensional object from a set of its projections. There has been a long-standing interest in this problem and a number of different techniques have been proposed. In this paper, we present a tutorial review of the reconstruction problem and some of the algorithms which have been proposed for its solution. In addition, we present a number of new algorithms that appear to have some advantages over previous algorithms. Some comparisons of these algorithms applied to reconstructions of two-dimensional pictures are given. Furthermore, a number of new theoretical results are presented relating to the minimum number of projections necessary for exact reconstruction.
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Citations
Cited by
Two-Dimensional Femtosecond Spectroscopy
Jonas, D. M. (2003) · Annual Review of Physical Chemistry · doi:10.1146/annurev.physchem.54.011002.103907 · Cited by 1,198
Three-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
Metadata
- Authors
- Mersereau, R. M., & Oppenheim, A. V.
- Venue
- Proceedings of the IEEE
- Published
- 1974
- Volume
- 62
- Issue
- 10
- Pages
- 1319-1338
- ISSN
- 0018-9219 (ISSN-L)
- OpenAlex
- W1998252779
- Cited by
- 435
- References
- 0
- FWCI
- 22.68
- Type
- journal article
- Language
- en
- Open access
- green
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- Mersereau, R. M., & Oppenheim, A. V. (1974). Digital reconstruction of multidimensional signals from their projections. Proceedings of the IEEE. https://doi.org/10.1109/proc.1974.9625
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