Found 841 Documents (Results 1–100)
On a cylindrical scanning modality in three-dimensional Compton scatter tomography. (English) Zbl 07901608
Inversion of the two-data circular Radon transform centered on a curve on \(C(\mathbf{R}^2)\). (English) Zbl 07899515
A framework for EIT models. (English) Zbl 07896895
Reconstruction of a function defined on \(\mathbb R^2\) from its circular transforms, centered on an arc. (English) Zbl 07812300
A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method. (English) Zbl 1534.65266
Inversion of generalized Radon transforms acting on 3D vector and symmetric tensor fields. (English) Zbl 1540.44008
Inversion of the pair of weighted and classical circular Radon transforms in \(\mathcal{C}(\mathbf{R}^2)\). (English) Zbl 1539.44002
Reviewer: Fritz Keinert (Ames)
MSC:
44A12
A Radon type transform related to the Euler equations for ideal fluid. (English) Zbl 07896802
Reviewer: Ming Xu (Guangzhou)
Reconstruction of three-dimensional vector fields based on values of normal, longitudinal, and weighted Radon transforms. (Russian. English summary) Zbl 07895611
Sib. Zh. Ind. Mat. 26, No. 4, 125-142 (2023); translation in J. Appl. Ind. Math. 17, No. 4, 842-858 (2023).
Quasianalyticity, uncertainty, and integral transforms on higher Grassmannians. (English) Zbl 1536.43005
Reviewer: Jinsong Wu (Beijing)
Edge detection from X-ray tomographic data for geometric image registration. (English) Zbl 1538.65317
A uniqueness result for the inverse problem of identifying boundaries from weighted Radon transform. (English) Zbl 1531.44003
Reviewer: Fritz Keinert (Ames)
Singular value decomposition for longitudinal, transverse and mixed ray transforms of 2D tensor fields. (English) Zbl 1540.44007
Radon transform with Gaussian beam: theoretical and numerical reconstruction scheme. (English) Zbl 07702337
Weighted Radon transforms of vector fields, with applications to magnetoacoustoelectric tomography. (English) Zbl 1525.44001
Reviewer: Fritz Keinert (Ames)
MSC:
44A12
On the exactness of the universal backprojection formula for the spherical means Radon transform. (English) Zbl 1515.44001
MSC:
44A12
The generalized Saint Venant operator and integral moment transforms. (English) Zbl 1516.44002
Reviewer: David Zarnadze (Tbilisi)
Broken ray tensor tomography with one reflecting obstacle. (English) Zbl 1518.53041
Reviewer: Deshna Loonker (Jodhpur)
On linear spline algorithms of computerized tomography in the space of \(n\)-orbits. (English) Zbl 1507.65303
Image reconstruction for positron emission tomography based on Chebyshev polynomials. (English) Zbl 1496.92039
Daras, Nicholas J. (ed.) et al., Approximation and computation in science and engineering. Cham: Springer. Springer Optim. Appl. 180, 281-295 (2022).
On multiple scattering in Compton scattering tomography and its impact on fan-beam CT. (English) Zbl 1503.65328
Research biography of a distinguished expert in the field of inverse problems: Professor Eric Todd Quinto. (English) Zbl 1493.01039
Unique continuation results for certain generalized ray transforms of symmetric tensor fields. (English) Zbl 1502.46028
Analytical reconstruction formula with efficient implementation for a modality of Compton scattering tomography with translational geometry. (English) Zbl 1501.44003
Reviewer: Fritz Keinert (Ames)
Inversion formulae for ray transforms in vector and tensor tomography. (English) Zbl 1518.65124
Reviewer: Hongliang Li (Chengdu)
Microlocal properties of seven-dimensional lemon and apple Radon transforms with applications in Compton scattering tomography. (English) Zbl 1496.44003
MSC:
44A12
Computed origami tomography. (English) Zbl 1496.44002
Partial data problems and unique continuation in scalar and vector field tomography. (English) Zbl 1495.44003
Partial inversion of the 2D attenuated \(X\)-ray transform with data on an arc. (English) Zbl 1493.44003
MSC:
44A12
A mathematical approach towards THz tomography for non-destructive imaging. (English) Zbl 1481.78011
The ray transform of symmetric tensor fields with incomplete projection data. I: The kernel of the ray transform. (English) Zbl 1490.44003
A direct sampling method for the inversion of the Radon transform. (English) Zbl 1485.44001
Reviewer: Fritz Keinert (Ames)
Microlocal analysis of generalized Radon transforms from scattering tomography. (English) Zbl 1489.44004
Deep neural networks for inverse problems with pseudodifferential operators: an application to limited-angle tomography. (English) Zbl 1489.44003
Microlocal properties of dynamic Fourier integral operators. (English) Zbl 1487.65136
Kaltenbacher, Barbara (ed.) et al., Time-dependent problems in imaging and parameter identification. Cham: Springer. 85-120 (2021).
Motion compensation strategies in tomography. (English) Zbl 1487.65135
Kaltenbacher, Barbara (ed.) et al., Time-dependent problems in imaging and parameter identification. Cham: Springer. 51-83 (2021).
The Funk-Hecke type relations and ray transforms for the vector spherical wave functions. (English) Zbl 1482.44004
MSC:
44A12
Bragg scattering tomography. (English) Zbl 1480.44005
Guided image filtering based \(\ell_0\) gradient minimization for limited-angle CT image reconstruction. (English) Zbl 1470.94024
A geometric based preprocessing for weighted ray transforms with applications in SPECT. (English) Zbl 1480.44003
Reviewer: Fritz Keinert (Ames)
On a three-dimensional Compton scattering tomography system with fixed source. (English) Zbl 1461.94004
A simple shearlet-based 2D Radon inversion with an application to computed tomography. (English) Zbl 1460.42054
Histogram tomography. (English) Zbl 1512.78020
Reviewer: David Kapanadze (Tbilisi)
Unique continuation of the normal operator of the x-ray transform and applications in geophysics. (English) Zbl 1477.44002
Polarimetric neutron tomography of magnetic fields: uniqueness of solution and reconstruction. (English) Zbl 1476.44001
Optimal recovery of a radiating source with multiple frequencies along one line. (English) Zbl 1471.44003
Modeling and simulation of Compton scatter image formation in positron emission tomography. (English) Zbl 1469.44006
Convergence and stability analysis of the half thresholding based few-view CT reconstruction. (English) Zbl 1465.94011
Integral transforms between tomogram and quasi-probability functions based on quantizer-dequantizer operators formalism. (English) Zbl 1454.81033
Analysis of resolution of tomographic-type reconstruction from discrete data for a class of distributions. (English) Zbl 1458.94186
Heuristic imaging from generic projections: backprojection outside the range of the Radon transform. (English) Zbl 1446.78005
Torus computed tomography. (English) Zbl 1448.65274
The method of approximate inverse for the Radon transform operator acting on functions and for the normal Radon transform operators acting on vector and symmetric 2-tensor fields in \(\mathbb R^3\). (Russian. English summary) Zbl 1461.44002
Microlocally accurate solution of the inverse source problem of thermoacoustic tomography. (English) Zbl 1448.92110
A joint reconstruction and lambda tomography regularization technique for energy-resolved x-ray imaging. (English) Zbl 1483.65236
Robust and stable region-of-interest tomographic reconstruction using a robust width prior. (English) Zbl 1447.44002
Image reconstruction method for exterior circular cone-beam CT based on weighted directional total variation in cylindrical coordinates. (English) Zbl 1444.94013
Orthogonal function series formulas for inversion of the spherical Radon transform. (English) Zbl 1444.44003
MSC:
44A12
A theoretical study of the algorithm to practicalize CT by G. N. Hounsfield and its applications. (English) Zbl 1441.44002
Reviewer: Fritz Keinert (Ames)
MSC:
44A12
Modified Radon transform inversion using moments. (English) Zbl 1451.44002
Reviewer: Upain Kumar Mandal (Dhanbad)
Generalized Radon transforms and applications in tomography. (English) Zbl 1437.53055
Reviewer: Deshna Loonker (Jodhpur)
A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium. (English) Zbl 1433.78016
On the choice of high-dimensional regression parameters in Gaussian random tomography. (English) Zbl 1458.62137
The importance of the Radon transform in vector field tomography. (English) Zbl 1459.44003
Ramlau, Ronny (ed.) et al., The Radon transform. The first 100 years and beyond. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 22, 189-216 (2019).
Uncertainty, ghosts, and resolution in Radon problems. (English) Zbl 1456.44003
Ramlau, Ronny (ed.) et al., The Radon transform. The first 100 years and beyond. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 22, 169-188 (2019).
A new approach for the inversion of the attenuated Radon transform. (English) Zbl 1444.92060
Rassias, Themistocles M. (ed.) et al., Mathematical analysis and applications. Cham: Springer. Springer Optim. Appl. 154, 433-457 (2019).
Operator learning approach for the limited view problem in photoacoustic tomography. (English) Zbl 1430.92043
The method of approximate inverse for ray transform operators on two-dimensional symmetric \(m\)-tensor fields. (Russian, English) Zbl 1438.44003
Sib. Zh. Ind. Mat. 22, No. 1, 104-115 (2019); translation in J. Appl. Ind. Math. 13, No. 1, 157-167 (2019).
Inversion formula for the conical Radon transform arising in a single first semicircle second Compton camera with rotation. (English) Zbl 1437.44001
The semi-analytical method for inversion of a weighted vector ray transform in three dimensions. (English) Zbl 1425.44001
On solenoidal-injective and injective ray transforms of tensor fields on surfaces. (English) Zbl 1418.35381
Microlocal analysis for spherical Radon transform: two nonstandard problems. (English) Zbl 1435.44001
On generalization of exponential ray transform in tomography. (Russian. English summary) Zbl 1438.92042
Analyzing reconstruction artifacts from arbitrary incomplete X-ray CT data. (English) Zbl 1439.44004
Reviewer: Fritz Keinert (Ames)
Determination of discontinuities of a function in a domain with refraction from its attenuated ray transform. (Russian, English) Zbl 1438.65317
Sib. Zh. Ind. Mat. 21, No. 4, 51-74 (2018); translation in J. Appl. Ind. Math. 12, No. 4, 619-641 (2018).
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