|
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
Retrieve article in:
PDF
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
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1970):
92A05, 78A55, 44A15
Retrieve articles in all Journals with MSC
(1970):
92A05, 78A55, 44A15
Additional Information:
DOI:
10.1090/S0002-9904-1977-14406-6
PII:
S 0002-9904(1977)14406-6
|