-
1
-
-
33744522312
-
Crofton function and inversion formulas in real integral geometry
-
10.1007/BF01090671
-
I. M. Gel'fand and M. I. Graev, Crofton function and inversion formulas in real integral geometry., Funct. Anal. Appl. 25 (1), 1-5 (1991). 10.1007/BF01090671
-
(1991)
Funct. Anal. Appl.
, vol.25
, Issue.1
, pp. 1-5
-
-
Gel'Fand, I.M.1
Graev, M.I.2
-
2
-
-
0013514417
-
Nonlocal inversion formulas in real integral geometry
-
10.1007/BF01079461
-
I. M. Gel'fand and S. G. Gindikin, Nonlocal inversion formulas in real integral geometry., Funct. Anal. Appl. 11, 173-179 (1977). 10.1007/BF01079461
-
(1977)
Funct. Anal. Appl.
, vol.11
, pp. 173-179
-
-
Gel'Fand, I.M.1
Gindikin, S.G.2
-
3
-
-
79960896186
-
Integral geometry on manifolds of k-dimensional planes
-
10.1007/BF01075862
-
I. M. Gel'fand, M. I. Graev, and Z. Y. Shapiro, Integral geometry on manifolds of k-dimensional planes., Sov. Math. Dok. 7, 801-804 (1966). 10.1007/BF01075862
-
(1966)
Sov. Math. Dok.
, vol.7
, pp. 801-804
-
-
Gel'Fand, I.M.1
Graev, M.I.2
Shapiro, Z.Y.3
-
5
-
-
8744226637
-
An explicit inversion formula for the exponential Radon transform using data from 180°
-
H. Rullgard, An explicit inversion formula for the exponential radon transform using data from 180∼, Ark. Mat. 42, 353-362 (2004). 10.1007/BF02385485 (Pubitemid 39525751)
-
(2004)
Arkiv for Matematik
, vol.42
, Issue.2
, pp. 353-362
-
-
Rullgard, H.1
-
6
-
-
12844287282
-
A family of analytic algorithms for cone-beam CT
-
DOI 10.1117/12.560242, 35, Developments in X-Ray Tomography IV
-
Y. B. Ye, S. Y. Zhao, H. Y. Yu, and G. Wang, Exact reconstruction for cone-beam scanning along nonstandard spirals and other curves., Proc. SPIE 5535, 318-328 (2004). 10.1117/12.560242 (Pubitemid 40422519)
-
(2004)
Proceedings of SPIE - The International Society for Optical Engineering
, vol.5535
, pp. 318-328
-
-
Zhao, S.1
Yu, H.2
Wang, G.3
-
7
-
-
12844287282
-
A family of analytic algorithms for cone-beam CT
-
DOI 10.1117/12.560242, 35, Developments in X-Ray Tomography IV
-
S. Y. Zhao, H. Y. Yu, and G. Wang, A family of analytic algorithms for cone-beam CT., Proc. SPIE 5535, 318-328 (2004). 10.1117/12.560242 (Pubitemid 40422519)
-
(2004)
Proceedings of SPIE - The International Society for Optical Engineering
, vol.5535
, pp. 318-328
-
-
Zhao, S.1
Yu, H.2
Wang, G.3
-
8
-
-
9744278198
-
An extended data function and its generalized backprojection for image reconstruction in helical cone-beam CT
-
DOI 10.1088/0031-9155/49/22/N02, PII S0031915504855659
-
Y. Zou and X. C. Pan, An extended data function and its generalized backprojection for image reconstruction in helical cone-beam CT., Phys. Biol. Med. 49 (22), N383-N387 (2004). 10.1088/0031-9155/49/22/N02 (Pubitemid 39585554)
-
(2004)
Physics in Medicine and Biology
, vol.49
, Issue.22
-
-
Zou, Y.1
Pan, X.2
-
9
-
-
11844249976
-
Cone-beam reconstruction using the backprojection of locally filtered projections
-
DOI 10.1109/TMI.2004.837794
-
J. D. Pack, F. Noo, and R. Clackdoyle, Cone-beam reconstruction using the backprojection of locally filtered projections., IEEE Trans. Med. Imag. 24 (1), 70-85 (2005). 10.1109/TMI.2004.837794 (Pubitemid 40088556)
-
(2005)
IEEE Transactions on Medical Imaging
, vol.24
, Issue.1
, pp. 70-85
-
-
Pack, J.D.1
Noo, F.2
Clackdoyle, R.3
-
10
-
-
37549028055
-
Scheme of computed tomography
-
Y. C. Wei, Scheme of computed tomography., J. X-ray Sci. Technol. 15 (4), 235-270 (2007).
-
(2007)
J. X-ray Sci. Technol.
, vol.15
, Issue.4
, pp. 235-270
-
-
Wei, Y.C.1
-
11
-
-
4544351987
-
A two-step Hilbert transform method for 2D image reconstruction
-
DOI 10.1088/0031-9155/49/17/006, PII S0031915504781828
-
F. Noo, R. Clackdoyle, and J. D. Pack, A two-step Hilbert transform method for 2D image reconstruction., Phys. Biol. Med. 49 (17), 3903-3923 (2004). 10.1088/0031-9155/49/17/006 (Pubitemid 39242984)
-
(2004)
Physics in Medicine and Biology
, vol.49
, Issue.17
, pp. 3903-3923
-
-
Noo, F.1
Clackdoyle, R.2
Pack, J.D.3
-
12
-
-
33744550629
-
Truncated Hilbert transform and image reconstruction from limited tomographic data
-
DOI 10.1088/0266-5611/22/3/019, PII S0266561106156208
-
M. Defrise, F. Noo, R. Clackdoyle, and H. Kudo, Truncated Hilbert transform and image reconstruction from limited tomographic data., Inverse Probl. 22 (3), 1037-1053 (2006). 10.1088/0266-5611/22/3/019 (Pubitemid 43814744)
-
(2006)
Inverse Problems
, vol.22
, Issue.3
, pp. 1037-1053
-
-
Defrise, M.1
Noo, F.2
Clackdoyle, R.3
Kudo, H.4
-
13
-
-
13244255699
-
Image reconstruction in regions-of-interest from truncated projections in a reduced fan-beam scan
-
DOI 10.1088/0031-9155/50/1/002
-
Y. Zou, X. C. Pan, and E. Y. Sidky, Image reconstruction in regions-of-interest from truncated projections in a reduced fan-beam scan., Phys. Biol. Med. 50 (1), 13-27 (2005). 10.1088/0031-9155/50/1/002 (Pubitemid 40185397)
-
(2005)
Physics in Medicine and Biology
, vol.50
, Issue.1
, pp. 13-27
-
-
Zou, Y.1
Pan, X.2
Sidky, E.Y.3
-
14
-
-
38749116981
-
A general local reconstruction approach based on a truncated hilbert transform
-
DOI 10.1155/2007/63634, PII S1687418807636340
-
Y. B. Ye, H. Y. Yu, Y. C. Wei, and G. Wang, A general local reconstruction approach based on a truncated Hilbert transform., Int. J. Biomed. Imag. 2007 (2007). 10.1155/2007/63634 (Pubitemid 351184563)
-
(2007)
International Journal of Biomedical Imaging
, vol.2007
, pp. 63634
-
-
Ye, Y.1
Yu, H.2
Wei, Y.3
Wang, G.4
-
15
-
-
40049084056
-
Exact interior reconstruction with cone-beam CT
-
DOI 10.1155/2007/10693, PII S1687418807106937
-
Y. B. Ye, H. Y. Yu, and G. Wang, Exact interior reconstruction with cone-beam CT., Int. J. Biomed. Imag. 2007 (2007). 10.1155/2007/10693 (Pubitemid 351445942)
-
(2007)
International Journal of Biomedical Imaging
, vol.2007
, pp. 10693
-
-
Ye, Y.1
Yu, H.2
Wang, G.3
-
16
-
-
56249107008
-
Local reconstruction using the truncated Hilbert transform via singular value decomposition
-
H. Y. Yu, Y. B. Ye, and G. Wang, Local reconstruction using the truncated Hilbert transform via singular value decomposition., J. X-Ray Sci. Technol. 16 (4), 243-251 (2008).
-
(2008)
J. X-Ray Sci. Technol.
, vol.16
, Issue.4
, pp. 243-251
-
-
Yu, H.Y.1
Ye, Y.B.2
Wang, G.3
-
17
-
-
42449133835
-
Tiny a priori knowledge solves the interior problem in computed tomography
-
DOI 10.1088/0031-9155/53/9/001, PII S0031915508723194
-
H. Kudo, Tiny a priori knowledge solves the interior problem in computed tomography., Phys. Biol. Med. 53 (9), 2207-2231 (2008). 10.1088/0031-9155/53/9/ 001 (Pubitemid 351570907)
-
(2008)
Physics in Medicine and Biology
, vol.53
, Issue.9
, pp. 2207-2231
-
-
Kudo, H.1
Courdurier, M.2
Noo, F.3
Defrise, M.4
-
18
-
-
62649137658
-
Solving the interior problem of computed tomography using a priori knowledge
-
10.1088/0266-5611/24/6/065001
-
M. Courdurier, Solving the interior problem of computed tomography using a priori knowledge., Inverse Prob. 24, 065001 (2008). 10.1088/0266-5611/24/6/ 065001
-
(2008)
Inverse Prob.
, vol.24
, pp. 065001
-
-
Courdurier, M.1
-
19
-
-
43949102371
-
Exact interior reconstruction from truncated limited-angle projection data
-
DOI 10.1155/2008/427989
-
Y. B. Ye, H. Y. Yu, and G. Wang, Exact interior reconstruction from truncated limited-angle projection data., Int. J. Biomed. Imag. 427989 (2008). 10.1155/2008/427989 (Pubitemid 351703627)
-
(2008)
International Journal of Biomedical Imaging
, vol.2008
, Issue.1
, pp. 427989
-
-
Ye, Y.1
Yu, H.2
Wang, G.3
-
20
-
-
34247503333
-
Approximate and exact cone-beam reconstruction with standard and non-standard spiral scanning
-
DOI 10.1088/0031-9155/52/6/R01, PII S0031915507339456, R01
-
G. Wang, Y. B. Ye, and H. Y. Yu, Approximate and exact cone-beam reconstruction with standard and non-standard spiral scanning., Phys. Med. Biol. 52 (6), R1-R13 (2007). 10.1088/0031-9155/52/6/R01 (Pubitemid 46646382)
-
(2007)
Physics in Medicine and Biology
, vol.52
, Issue.6
-
-
Wang, G.1
Ye, Y.2
Yu, H.3
-
21
-
-
79960895287
-
Interior tomography: Mathematical analysis
-
in, edited by Y. Censor, M. Jiang, and G. Wang (Medical Physics Publishing, Madison, WI).
-
Y. B. Ye, H. Y. Yu, and G. Wang, Interior tomography: Mathematical analysis., in Biomedical Mathematics: Promising Directions in Imaging, Therapy Planning, and Inverse Problems, edited by, Y. Censor, M. Jiang, and, G. Wang, (Medical Physics Publishing, Madison, WI, 2010).
-
(2010)
Biomedical Mathematics: Promising Directions in Imaging, Therapy Planning, and Inverse Problems
-
-
Ye, Y.B.1
Yu, H.Y.2
Wang, G.3
-
22
-
-
79960895287
-
Interior tomography: Practical applications
-
in, edited by Y. Censor, M. Jiang, and G. Wang (Medical Physics Publishing, Madison, WI).
-
G. Wang, H. Y. Yu, and Y. B. Ye, Interior tomography: Practical applications. in Biomedical Mathematics: Promising Directions in Imaging, Therapy Planning, and Inverse Problems, edited by, Y. Censor, M. Jiang, and, G. Wang, (Medical Physics Publishing, Madison, WI, 2010).
-
(2010)
Biomedical Mathematics: Promising Directions in Imaging, Therapy Planning, and Inverse Problems
-
-
Wang, G.1
Yu, H.Y.2
Ye, Y.B.3
-
23
-
-
0343272676
-
Die losungen der integralgleichung under deren anwendung in der tragflugeltheorie
-
10.1007/BF01580284
-
H. Soehngen, Die losungen der integralgleichung under deren anwendung in der tragflugeltheorie., Math. Z. 45, 245-264 (1939). 10.1007/BF01580284
-
(1939)
Math. Z.
, vol.45
, pp. 245-264
-
-
Soehngen, H.1
-
24
-
-
0012721601
-
On the finite Hilbert transform
-
10.1093/qmath/2.1.199
-
F. G. Tricomi, On the finite Hilbert transform., Q. J. Math. 2 (1), 199-211 (1951). 10.1093/qmath/2.1.199
-
(1951)
Q. J. Math.
, vol.2
, Issue.1
, pp. 199-211
-
-
Tricomi, F.G.1
-
25
-
-
25144440411
-
A general exact reconstruction for cone-beam CT via backprojection- filtration
-
DOI 10.1109/TMI.2005.853626
-
Y. B. Ye, S. Y. Zhao, H. Y. Yu, and G. Wang, A general exact reconstruction for cone-beam CT via backprojection-filtration., IEEE Trans. Med. Imag. 24 (9), 1190-1198 (2005). 10.1109/TMI.2005.853626 (Pubitemid 41337158)
-
(2005)
IEEE Transactions on Medical Imaging
, vol.24
, Issue.9
, pp. 1190-1198
-
-
Ye, Y.1
Zhao, S.2
Yu, H.3
Wang, G.4
-
26
-
-
21144439799
-
A unified framework for exact cone-beam reconstruction formulas
-
DOI 10.1118/1.1869632
-
S. Y. Zhao, H. Y. Yu, and G. Wang, A unified framework for exact cone-beam reconstruction formulas., Med. Phys. 32 (6), 1712-1721 (2005). 10.1118/1.1869632 (Pubitemid 40880564)
-
(2005)
Medical Physics
, vol.32
, Issue.6
, pp. 1712-1721
-
-
Zhao, S.1
Yu, H.2
Wang, G.3
-
27
-
-
12744260178
-
Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data
-
10.1088/0031-9155/49/24/007
-
T. L. Zhuang, Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data., Phys. Bio. Med. 49 (24), 5489-5503 (2004). 10.1088/0031-9155/49/24/007
-
(2004)
Phys. Bio. Med.
, vol.49
, Issue.24
, pp. 5489-5503
-
-
Zhuang, T.L.1
-
28
-
-
1642569142
-
Exact image reconstruction on PI-lines from minimum data in helical cone-beam CT
-
DOI 10.1088/0031-9155/49/6/006, PII S0031915504730043
-
Y. Zou and X. C. Pan, Exact image reconstruction on PI-lines from minimum data in helical cone-beam., Phys. Bio. Med. 49 (6), 941-959, (2004). 10.1088/0031-9155/49/6/006 (Pubitemid 38401110)
-
(2004)
Physics in Medicine and Biology
, vol.49
, Issue.6
, pp. 941-959
-
-
Zou, Y.1
Pan, X.2
-
29
-
-
28044458793
-
Theory and algorithms for image reconstruction on chords and within regions of interest
-
DOI 10.1364/JOSAA.22.002372
-
Y. Zou, X. C. Pan, and E. Y. Sidky, Theory and algorithms for image reconstruction on chords and within regions of interest., J. Opt. Soc. Am. A 22 (11), 2372-2384 (2005). 10.1364/JOSAA.22.002372 (Pubitemid 41684946)
-
(2005)
Journal of the Optical Society of America A: Optics and Image Science, and Vision
, vol.22
, Issue.11
, pp. 2372-2384
-
-
Zou, Y.1
Pan, X.2
Sidky, E.Y.3
-
30
-
-
0042903710
-
A general scheme for constructing inversion algorithms for cone beam CT
-
DOI 10.1155/S0161171203209315
-
A. Katsevich, A general scheme for constructing inversion algorithms for cone-beam CT., Int. J. of Math. and Math. Sci. 21, 1305-1321 (2003). 10.1155/S0161171203209315 (Pubitemid 40587806)
-
(2003)
International Journal of Mathematics and Mathematical Sciences
, vol.2003
, Issue.21
, pp. 1305-1321
-
-
Katsevich, A.1
-
31
-
-
33645324031
-
Improved cone beam local tomography
-
10.1088/0266-5611/22/2/015
-
A. Katsevich, Improved cone beam local tomography., Inverse Probl. 22 (2), 627-643 (2006). 10.1088/0266-5611/22/2/015
-
(2006)
Inverse Probl.
, vol.22
, Issue.2
, pp. 627-643
-
-
Katsevich, A.1
|