-
3
-
-
34249752187
-
Range descriptions for the spherical mean Radon transform
-
Agranovsky M, Kuchment P and Quinto E T 2007 Range descriptions for the spherical mean Radon transform J. Funct. Anal. 248 344-86
-
(2007)
J. Funct. Anal.
, vol.248
, Issue.2
, pp. 344-386
-
-
Agranovsky, M.1
Kuchment, P.2
Quinto, E.T.3
-
4
-
-
0030213465
-
Injectivity sets for the Radon transform over circles and complete systems of radial functions
-
Agranovsky M and Quinto E T 1996 Injectivity sets for the Radon transform over circles and complete systems of radial functions J. Funct. Anal. 139 383-414
-
(1996)
J. Funct. Anal.
, vol.139
, Issue.2
, pp. 383-414
-
-
Agranovsky, M.1
Quinto, E.T.2
-
5
-
-
33947202591
-
A range description for the planar circular Radon transform
-
Ambartsoumian G and Kuchment P 2006 A range description for the planar circular Radon transform SIAM J. Math. Anal. 38 681-92
-
(2006)
SIAM J. Math. Anal.
, vol.38
, Issue.2
, pp. 681-692
-
-
Ambartsoumian, G.1
Kuchment, P.2
-
7
-
-
0001779111
-
Boundary control in reconstruction of manifolds and metrics (the BC method)
-
Belishev M 1997 Boundary control in reconstruction of manifolds and metrics (the BC method) Inverse Problems 13 R1-R45
-
(1997)
Inverse Problems
, vol.13
, Issue.5
-
-
Belishev, M.1
-
8
-
-
34247229649
-
Exact and approximate imaging methods for photoacoustic tomography using an arbitrary detection surface
-
Burgholzer P, Matt G, Haltmeier M and Patlauf G 2007 Exact and approximate imaging methods for photoacoustic tomography using an arbitrary detection surface Phys. Rev. E 75 046706
-
(2007)
Phys. Rev.
, vol.75
, Issue.4
, pp. 046706
-
-
Burgholzer, P.1
Matt, G.2
Haltmeier, M.3
Patlauf, G.4
-
9
-
-
0346946893
-
Uniqueness in an inverse scattering problem within non-trapping polygonal obstacles with at most two incoming waves
-
Cheng J and Yamamoto M 2003 Uniqueness in an inverse scattering problem within non-trapping polygonal obstacles with at most two incoming waves Inverse Problems 19 1361-84
-
(2003)
Inverse Problems
, vol.19
, Issue.6
, pp. 1361-1384
-
-
Cheng, J.1
Yamamoto, M.2
-
11
-
-
1842550440
-
Photoacoustic monopole radiation in one, two, and three dimensions
-
Diebold G J, Sun T and Khan M I 1991 Photoacoustic monopole radiation in one, two, and three dimensions Phys. Rev. Lett. 67 3384-7
-
(1991)
Phys. Rev. Lett.
, vol.67
, Issue.24
, pp. 3384-3387
-
-
Diebold, G.J.1
Sun, T.2
Khan, M.I.3
-
16
-
-
3042713885
-
Determining a function from its mean values over a family of spheres
-
Finch D, Patch S and Rakesh 2004 Determining a function from its mean values over a family of spheres SIAM J. Math. Anal. 35 1213-40
-
(2004)
SIAM J. Math. Anal.
, vol.35
, pp. 1213-1240
-
-
Finch, D.1
Patch, S.2
Rakesh3
-
17
-
-
0003077448
-
Integral geometry in affine and projective spaces
-
Gelfand I, Gindikin S and Graev M 1980 Integral geometry in affine and projective spaces J. Sov. Math. 18 39-167
-
(1980)
J. Sov. Math.
, vol.18
, Issue.1
, pp. 39-167
-
-
Gelfand, I.1
Gindikin, S.2
Graev, M.3
-
19
-
-
0002527678
-
Integral geometry on real quadrics
-
Gindikin S 1995 Integral geometry on real quadrics Lie groups and Lie algebras: E. B. Dynkin's Seminar (Am. Math. Soc. Transl. Ser. vol 2, 169) (Providence, RI: American Mathematical Society) pp 23-31
-
(1995)
Lie Groups and Lie Algebras: E. B. Dynkin's Seminar
, pp. 23-31
-
-
Gindikin, S.1
-
20
-
-
34247398307
-
Thermoacoustic tomography and the circular Radon transform: Exact inversion formula
-
Haltmeier M, Scherzer O, Burgholzer P, Nuster R and Paltauf G 2007 Thermoacoustic tomography and the circular Radon transform: exact inversion formula Math. Models Methods Appl. Sci. 17 635-55
-
(2007)
Math. Models Methods Appl. Sci.
, vol.17
, Issue.4
, pp. 635-655
-
-
Haltmeier, M.1
Scherzer, O.2
Burgholzer, P.3
Nuster, R.4
Paltauf, G.5
-
23
-
-
33846859340
-
Thermoacoustic tomography with correction for acoustic speed variations
-
Jin X and Wang L V 2006 Thermoacoustic tomography with correction for acoustic speed variations Phys. Med. Biol. 51 6437-48
-
(2006)
Phys. Med. Biol.
, vol.51
, Issue.24
, pp. 6437-6448
-
-
Jin, X.1
Wang, L.V.2
-
24
-
-
0034912973
-
Temporal backward projection of optoacoustic pressure transients using Fourier transform methods
-
Köstli K P, Frenz M, Bebie H and Weber H P 2001 Temporal backward projection of optoacoustic pressure transients using Fourier transform methods Phys. Med. Biol. 46 1863-72
-
(2001)
Phys. Med. Biol.
, vol.46
, Issue.7
, pp. 1863-1872
-
-
Köstli, K.P.1
Frenz, M.2
Bebie, H.3
Weber, H.P.4
-
25
-
-
0038586601
-
Thermoacoustic computed tomography using a conventional linear transducer array
-
Kruger R A, Kiser W L, Reinecke D R and Kruger G A 2003 Thermoacoustic computed tomography using a conventional linear transducer array Med. Phys. 30 856-60
-
(2003)
Med. Phys.
, vol.30
, Issue.5
, pp. 856-860
-
-
Kruger, R.A.1
Kiser, W.L.2
Reinecke, D.R.3
Kruger, G.A.4
-
26
-
-
0028882213
-
Photoacoustic ultrasound (PAUS) reconstruction tomography
-
Kruger R A, Liu P, Fang Y R and Appledorn C R 1995 Photoacoustic ultrasound (PAUS) reconstruction tomography Med. Phys. 22 1605-9
-
(1995)
Med. Phys.
, vol.22
, Issue.10
, pp. 1605-1609
-
-
Kruger, R.A.1
Liu, P.2
Fang, Y.R.3
Appledorn, C.R.4
-
29
-
-
41149131589
-
Some problems of integral geometry arising in tomography in Ehrenpreis L 2003
-
Kuchment P and Quinto E T 2003 Some problems of integral geometry arising in tomography in Ehrenpreis L 2003 The Universality of the Radon Transform (Oxford: Oxford University Press) chapter 11
-
(2003)
The Universality of the Radon Transform
-
-
Kuchment, P.1
Quinto, E.T.2
-
30
-
-
33947692710
-
Explicit inversion formulae for the spherical mean Radon transform
-
Kunyansky L 2007 Explicit inversion formulae for the spherical mean Radon transform Inverse Problems 23 373-83
-
(2007)
Inverse Problems
, vol.23
, Issue.1
, pp. 373-383
-
-
Kunyansky, L.1
-
37
-
-
0019002759
-
Reconstruction of a two-dimensional reflecting medium over a circular domain: Exact solution
-
Norton S J 1980 Reconstruction of a two-dimensional reflecting medium over a circular domain: exact solution J. Acoust. Soc. Am. 67 1266-73
-
(1980)
J. Acoust. Soc. Am.
, vol.67
, Issue.4
, pp. 1266-1273
-
-
Norton, S.J.1
-
38
-
-
0019394034
-
Ultrasonic reflectivity imaging in three dimensions: Exact inverse scattering solutions for plane, cylindrical, and spherical apertures
-
Norton S J and Linzer M 1981 Ultrasonic reflectivity imaging in three dimensions: exact inverse scattering solutions for plane, cylindrical, and spherical apertures IEEE Trans. Biomed. Eng. 28 200-2
-
(1981)
IEEE Trans. Biomed. Eng.
, vol.28
, Issue.2
, pp. 202-202
-
-
Norton, S.J.1
Linzer, M.2
-
41
-
-
3042781845
-
Thermoacoustic tomography-consistency conditions and the partial scan problem
-
Patch S K 2004 Thermoacoustic tomography-consistency conditions and the partial scan problem Phys. Med. Biol. 49 1-11
-
(2004)
Phys. Med. Biol.
, vol.49
, Issue.1
, pp. 1-11
-
-
Patch, S.K.1
-
43
-
-
0039531581
-
Applications of photoacoustic sensing techniques
-
Tam A C 1986 Applications of photoacoustic sensing techniques Rev. Mod. Phys. 58 381-431
-
(1986)
Rev. Mod. Phys.
, vol.58
, Issue.2
, pp. 381-431
-
-
Tam, A.C.1
-
44
-
-
84957156702
-
The short-wave asymptotic behavior of the solutions of stationary problems, and the asymptotic behavior as t → ∞ of the solutions of nonstationary problems
-
Vainberg B 1975 The short-wave asymptotic behavior of the solutions of stationary problems, and the asymptotic behavior as t → ∞ of the solutions of nonstationary problems Russ. Math. Surv. 30 1-58
-
(1975)
Russ. Math. Surv.
, vol.30
, Issue.2
, pp. 1-58
-
-
Vainberg, B.1
-
46
-
-
0038391518
-
Noninvasive laser-induced photoacoustic tomography for structural and functional in vivo imaging of the brain
-
Wang X, Pang Y, Ku G, Xie X, Stoica G and Wang L 2003 Noninvasive laser-induced photoacoustic tomography for structural and functional in vivo imaging of the brain Nature Biotechnol. 21 803-6
-
(2003)
Nature Biotechnol.
, vol.21
, Issue.7
, pp. 803-806
-
-
Wang, X.1
Pang, Y.2
Ku, G.3
Xie, X.4
Stoica, G.5
Wang, L.6
-
47
-
-
0036628475
-
Time-domain reconstruction for thermoacoustic tomography in a spherical geometry
-
Xu M and Wang L H V 2002 Time-domain reconstruction for thermoacoustic tomography in a spherical geometry IEEE Trans. Med. Imaging 21 814-22
-
(2002)
IEEE Trans. Med. Imaging
, vol.21
, Issue.7
, pp. 814-822
-
-
Xu, M.1
Wang, L.H.V.2
-
48
-
-
37649027576
-
Universal back-projection algorithm for photoacoustic computed tomography
-
Xu M and Wang L H V 2005 Universal back-projection algorithm for photoacoustic computed tomography Phys. Rev. E 71 016706
-
(2005)
Phys. Rev.
, vol.71
, pp. 016706
-
-
Xu, M.1
Wang, L.H.V.2
-
49
-
-
0036628476
-
Exact frequency-domain reconstruction for thermoacoustic tomography: I. Planar geometry
-
Xu Y, Feng D and Wang L H V Exact frequency-domain reconstruction for thermoacoustic tomography: I. Planar geometry IEEE Trans. Med. Imag. 21 823-8
-
IEEE Trans. Med. Imag.
, vol.21
, pp. 823-828
-
-
Xu, Y.1
Feng, D.2
Wang, L.H.V.3
-
50
-
-
0141938527
-
Effects of acoustic heterogeneity in breast thermoacoustic tomography
-
Xu Y and Wang L V 2003 Effects of acoustic heterogeneity in breast thermoacoustic tomography IEEE Trans. Ultrason., Ferroelectr. Freq. Control 50 1134-48
-
(2003)
IEEE Trans. Ultrason., Ferroelectr. Freq. Control
, vol.50
, Issue.9
, pp. 1134-1148
-
-
Xu, Y.1
Wang, L.V.2
-
51
-
-
0036628477
-
Exact frequency-domain reconstruction for thermoacoustic tomography: II. Cylindrical geometry
-
Xu Y, Xu M and Wang L H V 2002 Exact frequency-domain reconstruction for thermoacoustic tomography: II. Cylindrical geometry IEEE Trans. Med. Imaging 21 829-33
-
(2002)
IEEE Trans. Med. Imaging
, vol.21
, Issue.7
, pp. 829-833
-
-
Xu, Y.1
Xu, M.2
Wang, L.H.V.3
-
52
-
-
1942516847
-
Reconstructions in limited view thermoacoustic tomography
-
Xu Y, Wang L, Ambartsoumian G and Kuchment P 2004 Reconstructions in limited view thermoacoustic tomography Med. Phys. 31 724-33
-
(2004)
Med. Phys.
, vol.31
, Issue.4
, pp. 724-733
-
-
Xu, Y.1
Wang, L.2
Ambartsoumian, G.3
Kuchment, P.4
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