A new approach to the reconstruction of images from Radon projections
Yuan Xu
Abstract
A new approach is proposed for reconstruction of images from Radon projections. Based on Fourier expansions in orthogonal polynomials of two and three variables, instead of Fourier transforms, the approach provides a new algorithm for the computed tomography. The convergence of the algorithm is established under mild assumptions.
Create a lesson
Related papers
Sharp mixed Ap-A∞ estimates for sparse operators on filtered and nonhomogeneous measure spaces
Francisco Gonçalves, Emiel Lorist
Lp Decay Estimates for Circular Means of Fractal Measures in R2
Zhenbin Cao, Feilong Guo, Junfeng Li
The divergence set for the wave equation in higher dimensions
Xiumin Du, Terence L. J. Harris, Jianhui Li
Product-profile anti-concentration for block-structured multi-affine polynomials
Evgeny Abakumov, Omer Friedland, Yosef Yomdin
Rigorous analysis of giant magnetic vortex strings
Ovidiu Avadanei, Wilhelm Schlag
Multilinear Mikhlin Multipliers with Degenerate Singularities
Hanaë Vandanjon