Moment-based cosh-Hilbert Inversion and Its Applications in Single-photon Emission Computed Tomography
Numerical Analysis
2013-02-27 v1
Abstract
The inversion of cosh-Hilbert transform (CHT) is one of the most crucial steps for single-photon emission computed tomography with uniform attenuation from truncated projection data. Although the uniqueness of the CHT inversion had been proved \cite{Noo2007}, there is no exact and analytic inverse formula so far. Several approximated inversion algorithms of the CHT had been developed \cite{Noo2007}\cite{You2007}. In this paper, we proposed a new numerical moment-based inversion algorithm.
Cite
@article{arxiv.1302.6326,
title = {Moment-based cosh-Hilbert Inversion and Its Applications in Single-photon Emission Computed Tomography},
author = {Shousheng Luo and Jiansheng Yang and Tie Zhou},
journal= {arXiv preprint arXiv:1302.6326},
year = {2013}
}