Sampling for the V-line Transform with Vertex in a Circle
Numerical Analysis
2020-08-25 v1 Numerical Analysis
Classical Analysis and ODEs
Abstract
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.
Cite
@article{arxiv.2008.09977,
title = {Sampling for the V-line Transform with Vertex in a Circle},
author = {Duy N. Nguyen and Linh Nguyen},
journal= {arXiv preprint arXiv:2008.09977},
year = {2020}
}