Year: 1996
Type: article
Abstract: By reformulating Grangeat's algorithm for the circular orbit, it is discovered that an arbitrary function to be reconstructed, f(\documentclass{article}\pagestyle{empty}\begin{document}$ \mathop r\limits^ \to $\end{document} ), can be expressed as the sum of three terms:f(\documentclass{article}\pagestyle{empty}\begin{document}$ \mathop r\limits^ \to $\end{document} )=fMO(\documentclass{article}\pagestyle{empty}\begin{document}$ \mathop r\limits^ \to $\end{document} )+fMI(\documentclass{article}\pagestyle{empty}\begin{document}$ \mathop r\limits^ \to $\end{document} )+f N(\documentclass{article}\pagestyle{empty}\begin{document}$ \mathop r\limits^ \to $\end{document} ) wherefMO(\documentclass{article}\pagestyle{empty}\begin{document}$ \mathop r\limits^ \to $\end{document} ) corresponds to the Feldkamp reconstruction,fMI(\documentclass{article}\pagestyle{empty}\begin{document}$ \mathop r\limits^ \to $\end{document} ) represents the information derivable from the circular scan but not utilized in Feldkamp's algorithm, andfN(\documentclass{article}\pagestyle{empty}\begin{document}$ \mathop r\limits^ \to $\end{document} ) represents the information which cannot be derived from the circular scanning geometry. Thus, a new cone‐beam reconstruction algorithm for the circular orbit is proposed as follows: (1) compute fMO(\documentclass{article}\pagestyle{empty}\begin{document}$ \mathop r\limits^ \to $\end{document} ) using Feldkamp's algorithm, (2) compute fMI(\documentclass{article}\pagestyle{empty}\begin{document}$ \mathop r\limits^ \to $\end{document} ) using the formula developed in this paper, and (3) estimatefN(\documentclass{article}\pagestyle{empty}\begin{document}$ \mathop r\limits^ \to $\end{document} ) using a priori knowledge such as that suggested in Grangeat's algorithm. This study shows that by including the fMI(\documentclass{article}\pagestyle{empty}\begin{document}$ \mathop r\limits^ \to $\end{document} ) term, the new algorithm provides more accurate reconstructions than those of Feldkamp even without thefN(\documentclass{article}\pagestyle{empty}\begin{document}$ \mathop r\limits^ \to $\end{document} ) estimation.
Source: Scanning
Author: Hui Hu
Language: English
Subfield: Radiology, Nuclear Medicine and Imaging
Field: Medicine
Domain: Health Sciences
Open Access status: bronze
OpenAlex ID: W2053369939