-
2
-
-
0000439725
-
Row-action methods for huge and sparse systems and their applications
-
Censor Y. (1981), ‘Row-action methods for huge and sparse systems and their applications’, SIAM Review 23, 444–466.
-
(1981)
SIAM Review
, vol.23
, pp. 444-466
-
-
Censor, Y.1
-
3
-
-
0002206795
-
Strong underrelaxation in Kaczmarz's method for inconsistent systems
-
Censor Y., Eggermont P. B. and Gordon D. (1983), ‘Strong underrelaxation in Kaczmarz's method for inconsistent systems’, Numer. Math. 41, 83–92.
-
(1983)
Numer. Math.
, vol.41
, pp. 83-92
-
-
Censor, Y.1
Eggermont, P.B.2
Gordon, D.3
-
5
-
-
0019047767
-
A scientific study of filter selection for a fan-beam convolution algorithm
-
Chang L. T. and Herman G. T. (1980), ‘A scientific study of filter selection for a fan-beam convolution algorithm’, SIAM J. Appl. Math. 39, 83–105.
-
(1980)
SIAM J. Appl. Math.
, vol.39
, pp. 83-105
-
-
Chang, L.T.1
Herman, G.T.2
-
6
-
-
42149197029
-
The circular harmonic Radon transform
-
Chapman C. H. and Cary P. W. (1986), ‘The circular harmonic Radon transform’, Inverse Problems 2, 23–49.
-
(1986)
Inverse Problems
, vol.2
, pp. 23-49
-
-
Chapman, C.H.1
Cary, P.W.2
-
7
-
-
0018921312
-
Fully three-dimensional emission tomography
-
Colsher J. G. (1980), ‘Fully three-dimensional emission tomography’, Phys. Med. Biol. 25, 103–115.
-
(1980)
Phys. Med. Biol.
, vol.25
, pp. 103-115
-
-
Colsher, J.G.1
-
8
-
-
0001069532
-
Representation of a function by its line integrals, with some radiological applications I
-
Cormack A. M. (1963), ‘Representation of a function by its line integrals, with some radiological applications I’, J. Appl. Phys. 34, 2722–2727.
-
(1963)
J. Appl. Phys.
, vol.34
, pp. 2722-2727
-
-
Cormack, A.M.1
-
9
-
-
12544260746
-
Representation of a function by its line integrals, with some radiological applications II
-
Cormack A. M. (1964), ‘Representation of a function by its line integrals, with some radiological applications II’, J. Appl. Phys. 35, 195–207.
-
(1964)
J. Appl. Phys.
, vol.35
, pp. 195-207
-
-
Cormack, A.M.1
-
11
-
-
0024508539
-
Three-dimensional image reconstruction from complete projections
-
Defrise M., Townsend D. W. and Clack R. (1989), ‘Three-dimensional image reconstruction from complete projections’, Phys. Med. Biol. 34, 573–587.
-
(1989)
Phys. Med. Biol.
, vol.34
, pp. 573-587
-
-
Defrise, M.1
Townsend, D.W.2
Clack, R.3
-
12
-
-
0028392621
-
A cone-beam reconstruction algorithm using shift-variant filtering and cone-beam backprojection
-
Defrise M. and Clack R. (1995), ‘A cone-beam reconstruction algorithm using shift-variant filtering and cone-beam backprojection’, IEEE Trans. Med. Imag. 13, 186–195.
-
(1995)
IEEE Trans. Med. Imag.
, vol.13
, pp. 186-195
-
-
Defrise, M.1
Clack, R.2
-
13
-
-
85011481945
-
Maximum likelihood from incomplete data via the EM algorithm
-
Dempster A. P., Laird N. M. and Rubin D. B. (1977), ‘Maximum likelihood from incomplete data via the EM algorithm’, J. R. Statist. Soc. B 39, 1–38.
-
(1977)
J. R. Statist. Soc. B
, vol.39
, pp. 1-38
-
-
Dempster, A.P.1
Laird, N.M.2
Rubin, D.B.3
-
14
-
-
0023669757
-
Linograms in image reconstruction from projections
-
Edholm P. and Herman G. T. (1987), ‘Linograms in image reconstruction from projections’, IEEE Trans. Med. Imag. 6, 301–307.
-
(1987)
IEEE Trans. Med. Imag.
, vol.6
, pp. 301-307
-
-
Edholm, P.1
Herman, G.T.2
-
15
-
-
0031206990
-
Local tomography II
-
Faridani A., Finch D. V., Ritman E. L. and Smith K. T. (1997), ‘Local tomography II’, SIAM J. Appl. Math. 57, 1095–1127.
-
(1997)
SIAM J. Appl. Math.
, vol.57
, pp. 1095-1127
-
-
Faridani, A.1
Finch, D.V.2
Ritman, E.L.3
Smith, K.T.4
-
17
-
-
0013553757
-
Recovery of a compactly supported function starting from its integrals over lines intersecting a given set of points in space
-
(1986); English Translation in Soviet Math. Dokl. 34, 373–376.
-
Gelfand I. M. and Goncharov A. B. (1987), ‘Recovery of a compactly supported function starting from its integrals over lines intersecting a given set of points in space’, Doklady 290 (1986); English Translation in Soviet Math. Dokl. 34, 373–376.
-
(1987)
Doklady
, vol.290
-
-
Gelfand, I.M.1
Goncharov, A.B.2
-
18
-
-
0010474509
-
Spatial rotational alignment of identical particles given their projections: Theory and practice
-
Gelfand I. M. and Goncharov A. B. (1990), ‘Spatial rotational alignment of identical particles given their projections: Theory and practice’, Translation of Mathematical Monographs 81, 97–122.
-
(1990)
Translation of Mathematical Monographs
, vol.81
, pp. 97-122
-
-
Gelfand, I.M.1
Goncharov, A.B.2
-
19
-
-
0014905513
-
Algebra reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography
-
Gordon R., Bender R. and Herman G. T. (1970), ‘Algebra reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography’, J. Theor. Biol. 29, 471–481.
-
(1970)
J. Theor. Biol.
, vol.29
, pp. 471-481
-
-
Gordon, R.1
Bender, R.2
Herman, G.T.3
-
20
-
-
0002018761
-
Mathematical framework of cone-beam reconstruction via the first derivative of the Radon transform
-
(Herman G. T., Louis A. K., Natterer F., eds), Springer
-
Grangeat P. (1991), ‘Mathematical framework of cone-beam reconstruction via the first derivative of the Radon transform’, in Mathematical Methods in Tomography, Vol. 1497 of Lecture Notes in Mathematics (Herman G. T., Louis A. K. and Natterer F., eds), Springer, pp. 66–97.
-
(1991)
Mathematical Methods in Tomography, Vol. 1497 of Lecture Notes in Mathematics
, pp. 66-97
-
-
Grangeat, P.1
-
21
-
-
0025404969
-
Bayesian reconstruction from emission tomography data using a modified EM algorithm
-
Green P. J. (1990), ‘Bayesian reconstruction from emission tomography data using a modified EM algorithm’, IEEE Trans. Med. Imag. 9, 84–93.
-
(1990)
IEEE Trans. Med. Imag.
, vol.9
, pp. 84-93
-
-
Green, P.J.1
-
22
-
-
0002164611
-
The angles between the null spaces of X-rays
-
Hamaker C. and Solmon D. C. (1978), ‘The angles between the null spaces of X-rays’, J. Math. Anal. Appl. 62, 1–23.
-
(1978)
J. Math. Anal. Appl.
, vol.62
, pp. 1-23
-
-
Hamaker, C.1
Solmon, D.C.2
-
23
-
-
0019596565
-
Circular harmonic image reconstruction
-
Hansen E. W. (1981), ‘Circular harmonic image reconstruction’, Applied Optics 20, 2266–2274.
-
(1981)
Applied Optics
, vol.20
, pp. 2266-2274
-
-
Hansen, E.W.1
-
24
-
-
0022766611
-
A numerically stable circular harmonic reconstruction algorithm
-
Hawkins W. G. and Barrett H. H. (1986), ‘A numerically stable circular harmonic reconstruction algorithm’, SIAM J. Numer. Anal. 23, 873–890.
-
(1986)
SIAM J. Numer. Anal.
, vol.23
, pp. 873-890
-
-
Hawkins, W.G.1
Barrett, H.H.2
-
26
-
-
0027659444
-
Algebraic reconstruction techniques can be made computationally efficient
-
Herman G. T. and Meyer L. (1993), ‘Algebraic reconstruction techniques can be made computationally efficient’, IEEE Trans. Med. Imag. 12, 600–609.
-
(1993)
IEEE Trans. Med. Imag.
, vol.12
, pp. 600-609
-
-
Herman, G.T.1
Meyer, L.2
-
27
-
-
0000203955
-
Accelerated EM reconstruction using ordered subsets
-
Hudson H. M., Hutton B. F. and Larkin R. (1992), ‘Accelerated EM reconstruction using ordered subsets’, J. Nucl. Med. 33, 960–968.
-
(1992)
J. Nucl. Med.
, vol.33
, pp. 960-968
-
-
Hudson, H.M.1
Hutton, B.F.2
Larkin, R.3
-
28
-
-
0017558676
-
The Shannon sampling theorem - its various extensions and applications: a tutorial review
-
Jerry A. J. (1977), ‘The Shannon sampling theorem - its various extensions and applications: a tutorial review’, Proc. IEEE 65, 1565–1596.
-
(1977)
Proc. IEEE
, vol.65
, pp. 1565-1596
-
-
Jerry, A.J.1
-
31
-
-
0001868550
-
Computer assisted diffraction tomography
-
(Stark H., ed.), Academic Press
-
Kaveh M. and Soumekh M. (1987), ‘Computer assisted diffraction tomography’, in Image Recovery: Theory and Application (Stark H., ed.), Academic Press, pp. 369–413.
-
(1987)
Image Recovery: Theory and Application
, pp. 369-413
-
-
Kaveh, M.1
Soumekh, M.2
-
32
-
-
0001246255
-
Resolution of reconstruction methods in computerized tomography
-
Kruse H. (1989), ‘Resolution of reconstruction methods in computerized tomography’, SIAM J. Sci. Statist. Comput. 10, 447–474.
-
(1989)
SIAM J. Sci. Statist. Comput.
, vol.10
, pp. 447-474
-
-
Kruse, H.1
-
33
-
-
0023421482
-
A maximum a posteriori probability expectation maximization algorithm for image reconstruction in emission tomography
-
Levitan E. and Herman G. T. (1987), ‘A maximum a posteriori probability expectation maximization algorithm for image reconstruction in emission tomography’, IEEE Trans. Med. Imag. 6, 185–192.
-
(1987)
IEEE Trans. Med. Imag.
, vol.6
, pp. 185-192
-
-
Levitan, E.1
Herman, G.T.2
-
34
-
-
0026544838
-
Alternatives to voxels for image representations in iterative reconstruction algorithms
-
Lewitt R. M. (1992), ‘Alternatives to voxels for image representations in iterative reconstruction algorithms’, Phys. Med. Biol. 37, 705–716.
-
(1992)
Phys. Med. Biol.
, vol.37
, pp. 705-716
-
-
Lewitt, R.M.1
-
35
-
-
0019148442
-
Picture reconstruction from projections in restricted range
-
Louis A. K. (1980), ‘Picture reconstruction from projections in restricted range’, Math. Meth. Appl. Sci. 2, 109–220.
-
(1980)
Math. Meth. Appl. Sci.
, vol.2
, pp. 109-220
-
-
Louis, A.K.1
-
36
-
-
0011309772
-
Fully three-dimensional reconstruction in electron microscopy
-
(Borgers C. and Natterer F., eds), of IMA Volumes in Mathematics and its Applications, Springer
-
Marabini R., Herman G. T. and Carazo J. M. (1998), ‘Fully three-dimensional reconstruction in electron microscopy’, in Computational Radiology and Imaging: Therapy and Diagnostics (Borgers C. and Natterer F., eds), Vol. 110 of IMA Volumes in Mathematics and its Applications, Springer.
-
(1998)
Computational Radiology and Imaging: Therapy and Diagnostics
, vol.110
-
-
Marabini, R.1
Herman, G.T.2
Carazo, J.M.3
-
37
-
-
0001598883
-
On two approaches to 3D reconstruction in NMR zeugmatography
-
(Herman G. T. and Natterer F., eds), Proceedings, Oberwolfach 1980, Springer
-
Marr R. B., Chen C. N. and Lauterbur P. C. (1981), ‘On two approaches to 3D reconstruction in NMR zeugmatography’, in Mathematical Aspects of Computerized Tomography (Herman G. T. and Natterer F., eds), Proceedings, Oberwolfach 1980, Springer, pp. 225–240.
-
(1981)
Mathematical Aspects of Computerized Tomography
, pp. 225-240
-
-
Marr, R.B.1
Chen, C.N.2
Lauterbur, P.C.3
-
39
-
-
0027574252
-
Sampling in fan beam tomography
-
Natterer F. (1993), ‘Sampling in fan beam tomography’, SIAM J. Appl. Math. 53, 358–380.
-
(1993)
SIAM J. Appl. Math.
, vol.53
, pp. 358-380
-
-
Natterer, F.1
-
40
-
-
0042591160
-
Basic algorithms in tomography
-
(Grünbaum F. A. et al., eds), Springer
-
Natterer F. and Faridani A. (1990), ‘Basic algorithms in tomography’, in Signal Processing Part II: Control Theory and Applications (Grünbaum F. A. et al., eds), Springer, pp. 321–334.
-
(1990)
Signal Processing Part II: Control Theory and Applications
, pp. 321-334
-
-
Natterer, F.1
Faridani, A.2
-
41
-
-
0004171666
-
Application of fast backprojection techniques for some inverse problems of integral geometry
-
Dissertation No. 499, Department of Mathematics, Linköping University, Linköping, Sweden
-
Nilsson S. (1997), ‘Application of fast backprojection techniques for some inverse problems of integral geometry’, Linköping Studies in Science and Technology, Dissertation No. 499, Department of Mathematics, Linköping University, Linköping, Sweden.
-
(1997)
Linköping Studies in Science and Technology
-
-
Nilsson, S.1
-
43
-
-
0000337824
-
Theory of three dimensional reconstruction, II: The recovery operator
-
Orlov S. S. (1976), ‘Theory of three dimensional reconstruction, II: The recovery operator’, Sov. Phys. Crystallogr. 20, 429–433.
-
(1976)
Sov. Phys. Crystallogr.
, vol.20
, pp. 429-433
-
-
Orlov, S.S.1
-
44
-
-
0022187595
-
A fast sinc function gridding algorithm for Fourier inversion in computer tomography
-
O'Sullivan J. D. (1985), ‘A fast sinc function gridding algorithm for Fourier inversion in computer tomography’, IEEE Trans. Med. Imag. 4, 200–207.
-
(1985)
IEEE Trans. Med. Imag.
, vol.4
, pp. 200-207
-
-
O'Sullivan, J.D.1
-
45
-
-
0039579294
-
Multiplicative interative methods in computed tomography
-
(Herman G. T., Louis A. K. and Natterer F., eds), Springer
-
De Pierro A. R. (1990), ‘Multiplicative interative methods in computed tomography’, in Mathematical Methods in Tomography (Herman G. T., Louis A. K. and Natterer F., eds), Springer, pp. 167–186.
-
(1990)
Mathematical Methods in Tomography
, pp. 167-186
-
-
De Pierro, A.R.1
-
46
-
-
0001169360
-
Über die Bestimmung von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten
-
Leipzig.
-
Radon J. (1917), ‘Über die Bestimmung von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten’, Berichte Sächsische Akademie der Wissenschaften, Math.-Phys. Kl., 69, 262–267, Leipzig.
-
(1917)
Berichte Sächsische Akademie der Wissenschaften, Math.-Phys. Kl.
, vol.69
, pp. 262-267
-
-
Radon, J.1
-
48
-
-
0029378348
-
The gridding method for image reconstruction bx Fourier transformation
-
Schomberg H. and Timmer J. (1995), ‘The gridding method for image reconstruction bx Fourier transformation’, IEEE Trans. Med. Imag. 14, 596–607.
-
(1995)
IEEE Trans. Med. Imag.
, vol.14
, pp. 596-607
-
-
Schomberg, H.1
Timmer, J.2
-
49
-
-
0016068330
-
The Fourier reconstruction of a head section
-
Shepp L. A. and Logan B. F. (1974), ‘The Fourier reconstruction of a head section’, IEEE Trans. Trans. Nucl. Sci. NS-21, 21–43.
-
(1974)
IEEE Trans. Trans. Nucl. Sci.
, vol.NS-21
, pp. 21-43
-
-
Shepp, L.A.1
Logan, B.F.2
-
50
-
-
0020194763
-
Maximum likelihood reconstruction for emission tomography
-
Shepp L. A. and Vardi Y. (1982), ‘Maximum likelihood reconstruction for emission tomography’, IEEE Trans. Med. Imag. 1, 113–122.
-
(1982)
IEEE Trans. Med. Imag.
, vol.1
, pp. 113-122
-
-
Shepp, L.A.1
Vardi, Y.2
-
51
-
-
0004091552
-
ESNM: Ein rauschunterdrückendes EM-Verfahren für die Emissionstomographie
-
Dissertation, Fachbereich Mathematik, Universität Münster
-
Setzepfandt B. (1992), ‘ESNM: Ein rauschunterdrückendes EM-Verfahren für die Emissionstomographie’, Dissertation, Fachbereich Mathematik, Universität Münster.
-
(1992)
-
-
Setzepfandt, B.1
-
52
-
-
0344102022
-
Use of collocation methods under inclusion of a priori information in acoustic pyrometry
-
Bergen, Norway
-
Sielschott H. and Derichs W. (1995), ‘Use of collocation methods under inclusion of a priori information in acoustic pyrometry’, Proc. European Concerted Action on Process Tomography, Bergen, Norway, pp. 110–117.
-
(1995)
Proc. European Concerted Action on Process Tomography
, pp. 110-117
-
-
Sielschott, H.1
Derichs, W.2
-
53
-
-
0002752852
-
A smoothed EM approach to indirect estimation problems, with particular reference to stereology and emission tomography
-
Silverman B. W., Jones M. C., Nychka D. W. and Wilson J. D. (1990), ‘A smoothed EM approach to indirect estimation problems, with particular reference to stereology and emission tomography’, J. R. Statist. Soc. B 52, 271–324.
-
(1990)
J. R. Statist. Soc. B
, vol.52
, pp. 271-324
-
-
Silverman, B.W.1
Jones, M.C.2
Nychka, D.W.3
Wilson, J.D.4
-
54
-
-
0020764170
-
An inversion formula for cone-beam reconstruction
-
Tuy H. K. (1983), ‘An inversion formula for cone-beam reconstruction’, SIAM J. Appl. Math. 43, 546–552.
-
(1983)
SIAM J. Appl. Math.
, vol.43
, pp. 546-552
-
-
Tuy, H.K.1
-
55
-
-
0031240173
-
Towards accurate attenuation correction in SPECT
-
Welch A., Clack R., Natterer F. and Gullberg G. T. (1997), ‘Towards accurate attenuation correction in SPECT’, IEEE Trans. Med. Imag. 16, 532–541.
-
(1997)
IEEE Trans. Med. Imag.
, vol.16
, pp. 532-541
-
-
Welch, A.1
Clack, R.2
Natterer, F.3
Gullberg, G.T.4
-
56
-
-
85011447719
-
Die Rekonstruktion von Orientierungen aus Projektionen
-
Diplomarbeit, Institut für Numerische und Instrumentelle Mathematik, Universität Münster.
-
Wuschke K. (1990), ‘Die Rekonstruktion von Orientierungen aus Projektionen’, Diplomarbeit, Institut für Numerische und Instrumentelle Mathematik, Universität Münster.
-
(1990)
-
-
Wuschke, K.1
|