Cone Beam Reconstruction with Sources on a Curve
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Publication:3702470
DOI10.1137/0145039zbMath0579.65136OpenAlexW2033032875WikidataQ124767474 ScholiaQ124767474MaRDI QIDQ3702470
Publication date: 1985
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0145039
inversion formulasourcesultrahyperbolic equationdivergent beam x-ray transformcone beam reconstructionon a curve
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) Pseudodifferential and Fourier integral operators on manifolds (58J40)
Related Items (14)
Uniqueness and inversion of cone beam data ⋮ Unnamed Item ⋮ Derivation and analysis of a new reconstruction formula from cone-beam projections ⋮ Exact Inversion of the Cone Transform Arising in an Application of a Compton Camera Consisting of Line Detectors ⋮ Three dimensional Compton scattering tomography ⋮ The cone-beam transform and spherical convolution operators ⋮ Fourier duality in integral geometry and reconstruction from ray integrals ⋮ Reconstruction in the cone-beam vector tomography with two sources ⋮ Inversion of incomplete cone-beam data ⋮ Asymptotic inversion formulas in 3D vector field tomography for different geometries ⋮ Inversion of the x-ray transform for complexes of lines in ${{\mathbb{R}}}^{n}$ ⋮ Support Theorems for Radon Transforms on Real Analytic Line Complexes in Three-Space ⋮ An inversion formula for the transport equation in \(\mathbb{R}^{3}\) using complex analysis in several variables ⋮ Reconstruction from Line Integrals in Spaces of Constant Curvature
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