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Stability estimates for the X-ray transform of tensor fields and boundary rigidity
Duke Mathematical Journal
◽
10.1215/s0012-7094-04-12332-2
◽
2004
◽
Vol 123
(3)
◽
pp. 445-467
◽
Cited By ~ 58
Author(s):
Plamen Stefanov
◽
Gunther Uhlmann
Keyword(s):
Stability Estimates
◽
Tensor Fields
◽
X Ray
◽
Ray Transform
◽
Boundary Rigidity
Download Full-text
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References
Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge
Annals of Mathematics
◽
10.4007/annals.2021.194.1.1
◽
2021
◽
Vol 194
(1)
◽
pp. 1
Author(s):
Stefanov
◽
Uhlmann
◽
Vasy
Keyword(s):
X Ray
◽
Ray Transform
◽
Boundary Rigidity
◽
Normal Gauge
Download Full-text
X-Ray Transform and Boundary Rigidity for Asymptotically Hyperbolic Manifolds
Annales de l’institut Fourier
◽
10.5802/aif.3339
◽
2020
◽
Vol 69
(7)
◽
pp. 2857-2919
◽
Cited By ~ 1
Author(s):
C. Robin Graham
◽
Colin Guillarmou
◽
Plamen Stefanov
◽
Gunther Uhlmann
Keyword(s):
Hyperbolic Manifolds
◽
X Ray
◽
Ray Transform
◽
Asymptotically Hyperbolic Manifolds
◽
Boundary Rigidity
◽
Asymptotically Hyperbolic
Download Full-text
Inversion of the x-ray transform for 3D symmetric tensor fields with sources on a curve
Inverse Problems
◽
10.1088/0266-5611/22/2/001
◽
2006
◽
Vol 22
(2)
◽
pp. 399-411
◽
Cited By ~ 21
Author(s):
Alexander Denisjuk
Keyword(s):
Symmetric Tensor
◽
Tensor Fields
◽
X Ray
◽
Ray Transform
Download Full-text
Handling ray transform of symmetric tensor fields and the Radon transform of differential forms on incomplete data
Daghestan Electronic Mathematical Reports
◽
10.31029/demr.1.2
◽
2014
◽
pp. 56-70
Author(s):
Ziyaudin Medzhidov
◽
Keyword(s):
Radon Transform
◽
Incomplete Data
◽
Differential Forms
◽
Symmetric Tensor
◽
Tensor Fields
◽
Ray Transform
Download Full-text
On the inverse problem and Sobolev estimates of the generalized X-ray transform
Complex Variables and Elliptic Equations
◽
10.1080/17476933.2021.1913130
◽
2021
◽
pp. 1-15
Author(s):
Wei Li
◽
Jinping Wang
Keyword(s):
Inverse Problem
◽
X Ray
◽
Ray Transform
◽
Sobolev Estimates
Download Full-text
Invertibility of multi‐energy x‐ray transform
Medical Physics
◽
10.1002/mp.15168
◽
2021
◽
Author(s):
Yijun Ding
◽
Eric W. Clarkson
◽
Amit Ashok
Keyword(s):
X Ray
◽
Ray Transform
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Inversion of the X-ray transform from limited angle parallel beam region of interest data with applications to electron tomography
PAMM
◽
10.1002/pamm.200700762
◽
2007
◽
Vol 7
(1)
◽
pp. 1050301-1050302
Author(s):
Ozan Öktem
◽
Eric Todd Quinto
Keyword(s):
Electron Tomography
◽
Region Of Interest
◽
Parallel Beam
◽
X Ray
◽
Ray Transform
◽
Limited Angle
Download Full-text
On the injectivity of the X-ray transform for Anosov thermostats
Discrete and Continuous Dynamical Systems
◽
10.3934/dcds.2009.24.471
◽
2009
◽
Vol 24
(2)
◽
pp. 471-487
◽
Cited By ~ 4
Author(s):
Dan Jane
◽
◽
Gabriel P. Paternain
Keyword(s):
X Ray
◽
Ray Transform
Download Full-text
$L^{p}$ estimates for the $X$-ray transform
Illinois Journal of Mathematics
◽
10.1215/ijm/1256065417
◽
1983
◽
Vol 27
(1)
◽
pp. 125-129
◽
Cited By ~ 11
Author(s):
S. W. Drury
Keyword(s):
X Ray
◽
Ray Transform
Download Full-text
On a generalized X-ray transform and a new method for defect detection using the medium electronic density
Comptes Rendus Mathematique
◽
10.1016/s1631-073x(03)00010-4
◽
2003
◽
Vol 336
(2)
◽
pp. 195-200
Author(s):
Mai K. Nguyen
◽
T.Tuong Truong
Keyword(s):
Defect Detection
◽
New Method
◽
Electronic Density
◽
X Ray
◽
Ray Transform
Download Full-text
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