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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Practical and mathematical aspects of the problem of reconstructing objects from radiographs

Author(s): Kennan T. Smith; Donald C. Solmon; Sheldon L. Wagner
Journal: Bull. Amer. Math. Soc. 83 (1977), 1227-1270.
MSC (1970): Primary 92A05, 78A55; Secondary 44A15
Addendum: Bull. Amer. Math. Soc., Volume 84, Number 4 (1978), 691--691
MathSciNet review: 0490032
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References | Similar articles | Additional information

References:

1.
I. Amemiya and T. Ando, Convergence of random products of contractions in Hilbert space, Acta. Sci. Math. (Szeged) 26 (1965), 239-244. MR 32 #4570. MR 187116
2.
W. F. Donoghue, Distributions and Fourier transforms, Academic Press, New York and London, 1969.
3.
E. Durand, Solutions numériques des équations algébriques. Tome II, Masson, Paris, 1960, p. 120. MR 24 #B1754. MR 137722
4.
R. Gordon, R. Bender and G. T. Herman, Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography, J. Theoret. Biol. 29 (1970), 471-481.
5.
R. B. Guenther, C. W. Kerber, E. K. Killian, K. T. Smith and S. L. Wagner, Reconstruction of objects from radiographs and the location of brain tumors, Proc. Nat. Acad. Sci. U.S.A. 71 (1974), 4884-4886. MR 50 #6547. MR 354065
6.
C. Hamaker and D. C. Solmon, The angles between the null spaces of x-rays, J. Math. Anal. Appl. (to appear). MR 463859
7.
G. N. Hounsfield, Computerized transverse axial scanning (tomography) I: Description of system, Brit. J. Radiol. 46 (1973), 1016-1022.
8.
P. D. Lax and R. S. Phillips, The Paley- Wiener theorem for the Radon transform, Comm. Pure Appl. Math. 23 (1970), 409-424. MR 42 #8189. MR 273309
9.
Donald Ludwig, The Radon transform on euclidean space, Comm. Pure Appl. Math. 69 (1966), 49-81. MR 32 #8064. MR 190652
10.
B. Malgrange, Existence et approximation des solutions des equations aux derivees partielles et des equations de convolution, Ann. Inst. Fourier (Grenoble), 6 (1955-1956), 271-355. MR 19, 280. MR 86990
11.
R. M. Mersereau and A. V. Oppenheim, Digital reconstruction of multidimensional signals from their projections, Proc. IEEE 62 (1974), 1319-1338.
12.
P. F. J. New and W. R. Scott, Computed tomography of the brain and orbit, Williams and Wilkins, Baltimore, Maryland, 1975.
13.
K. T. Smith and D. C. Solmon, Lower dimensional integrability of L2 functions, J. Math. Anal. Appl. 51 (1975), 539-549. MR 377496
14.
K. T. Smith, S. L. Wagner, R. B. Guenther and D. C. Solmon, The diagnosis of breast cancer in mammograms by the evaluation of density patterns, Radiology (to appear).
15.
D. C. Solmon, The x-ray transform, J. Math. Anal. Appl. 56 (1976), 61-83. MR 481961

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Additional Information:

DOI: 10.1090/S0002-9904-1977-14406-6
PII: S 0002-9904(1977)14406-6




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