Limited Angle Reconstruction in Tomography via Squashing

IEEE Transactions on Medical Imaging

Volumn 6, Issue 2, 1987, Pages 89-97

  Reeds, J A ^a   Shepp, L A ^a  

^a LUCENT TECHNOLOGIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER PROGRAMS; IMAGE PROCESSING - RECONSTRUCTION; MATHEMATICAL TECHNIQUES - ALGORITHMS;

SQUASHING;

BIOMEDICAL ENGINEERING;

EID: 0023367158     PISSN: 02780062     EISSN: 1558254X     Source Type: Journal    
DOI: 10.1109/TMI.1987.4307808     Document Type: Article

References (15)

1. [1] R. L. Byer and L. A. Shepp, “Two-dimensional remote air-pollution monitoring via tomography,” Opt. Lett., pp. 75–77, 1979. (This paper does not discuss the satellite or limited-angle case itself.)
2. [2] D. Boyd, (This device avoids limited angle reconstruction at present.)
3. [3] M. Buonocore, W. Brody, and A. Macovski, “Fast minimum variance estimator for limited angle CT image reconstruction,” Med. Phys., vol. 8, pp. 695–702, 1981.
4. [4] M. E. Davison and F. A. Grunbaum, “Convolution algorithms for arbitrary projection angles,” IEEE Trans. Nucl. Sci., vol. NS-26, pp. 2670–2673, 1979. (Their method is to create an optimal 6 function from backprojected filters.)
5. [5] P. C. Fishburn, J. A. Reeds, and L. A. Shepp, “Unique reconstruction of sets from projections,” to be published.
6. [6] K. M. Hanson, “Limited angle CT reconstruction ising a priori information” in Proc. 1st IEEE Comput. Soc. Int. Symp. Med. Imaging, Berlin, Germany, 1982, pp. 527–533.
7. [7] T. Inouye, “Image reconstruction with limited angle projection data, IEEE Trans. Nucl. Sci., vol. NS-26, pp. 2666–2669, 1979.
8. [8] B. F. Logan and L. A. Shepp, “Optimal reconstruction of a function from its projections,” Duke Math J., vol. 42, pp. 645–659, 1975. (This gives a theoretically optimal reconstruction for limited angles.)
9. [9] L. A. Shepp and J. B. Kruskal, “Computerized tomography: The new medical X-ray technology,” Amer. Math. Monthly, vol. 85, pp. 420–439, 439, 1978.
10. [10] L. A. Shepp and B. F. Logan, “The Fourier reconstruction of a head section,” IEEE Trans. Nucl. Sci., vol NS-21, pp. 21–43, 1974.
11. [11] A. K. Louis, rep. at New Orleans Meet. of AMS, 1986.
12. [12] M. I. Sezan and H. Stark, “Tomographic image reconstruction from incomplete view data by convex projections and direct Fourier inver-sion,” IEEE Trans. Med. Imaging, vol. MI-3, pp. 91–98, 1984.
13. [13] B. P. Medoff, W. R. Brody, M. Nassi, and A. Macovski, “Iterative convolution-backprojection algorithms for image reconstruction from limited data,” J. Opt. Soc. Amer., vol. 73, pp. 1493–1500, 1983.
14. [14] A. Peres, “Tomographic reconstruction from limited angle data,” J. Comput. Assist. Tomes., vol. 3, pp. 800–803, 1979.
15. [15] R. A. Niland and C. A. Schmidt-Horms, “Reduction of a time of flight experiment to tomography,” Nucl. Inst. and Methods in Physics Research. Elsevier Science Publishers B.V., North-Holland Phys. Pub. Division, A241, 1985, 221–235.