arXiv subjects

Duy N. Nguyen

Publications and source records attributed to Duy N. Nguyen.

2 recordsLinked to original sources

arXiv2020

Sampling for the V-line Transform with Vertex in a Circle

In this paper, we consider a special V-line transform. It integrates a given function f over the V-lines whose centers are on a circle centered at the origin and the symmetric axes pass through the origin. We derive two sampling scheme of the transform: the standard and interlaced ones. We prove the an error estimate for the schemes, which is explicitly expressed in term of f.

math.NA↗

arXiv2019

An Inversion Formula for Horizontal Conical Radon Transform

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 such transform. The inversion makes use of the vertical slice transform on a sphere and V-line transform on a plane.

math.CA↗