32 citations · 114 across the 23 of their papers we have counts for
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An Inversion Formula for Horizontal Conical Radon Transform
Duy N. Nguyen, Linh V. Nguyen
In this paper, we consider the conical Radon transform on all cones with horizontal central axis whose vertices are on a straight line. We derive an explicit inversion formula for…
On Artifacts in Limited Data Spherical Radon Transform: Flat Observation Surfaces
Linh V. Nguyen
In this article, we characterize the strength of the reconstructed singularities and artifacts in a reconstruction formula for limited data spherical Radon transform. Namely, we as…
How Strong Are Streak Artifacts in Limited Angle Computed Tomography?
Linh V. Nguyen
In this article, we consider the limited angle problem in computed X-ray tomography. A common practice is to use the filtered back projection with the limited data. However, this p…
Inverting Spherical Radon Transform by a Closed-form Formula: A Microlocal Analytic Point of View
Linh V. Nguyen
Let $\mR$ be the restriction of the spherical Radon transform to the set of spheres centered on a hypersurface $\mS$. We study the inversion of $\mR$ by a closed-form formula. We a…