From 05c48981f4eacfe8a79f01a49cbddde10a94dda4 Mon Sep 17 00:00:00 2001 From: "Kevin M. Rosenberg" Date: Thu, 8 Feb 2001 09:12:21 +0000 Subject: [PATCH] r501: no message --- doc/ctsim-concepts.tex | 8 ++++++-- doc/ctsim.hlp | Bin 38793 -> 57955 bytes doc/ctsim.tex | 4 ++-- doc/mytitle.sty | 2 +- doc/tex2rtf.ini | 4 ++++ 5 files changed, 13 insertions(+), 5 deletions(-) diff --git a/doc/ctsim-concepts.tex b/doc/ctsim-concepts.tex index 1d2d01b..f8c0da1 100644 --- a/doc/ctsim-concepts.tex +++ b/doc/ctsim-concepts.tex @@ -181,6 +181,7 @@ For parallel geometry scanning, the focal length doesn't matter. However, divergent geometry scanning (equilinear and equiangular), the \emph{focal length ratio} should be set at \texttt{2} or more to avoid artifacts. + \subsection{Parallel Geometry}\label{geometryparallel}\index{Concepts,Scanner,Geometries,Parallel} As mentioned above, the focal length is not used in this simple @@ -192,6 +193,7 @@ the default values of \texttt{1} for the \emph{view diameter ratio} and the \emph{scan diameter ratio}. If values of less than \texttt{1} are used for these two variables, significant distortions will occur. + \subsection{Divergent Geometries}\label{geometrydivergent}\index{Concepts,Scanner,Geometries,Divergent} \subsubsection{Overview} Next consider the case of equilinear (second generation) and equiangular @@ -206,6 +208,7 @@ See figure 2.2. \caption{Equilinear and equiangular geometries.} \end{figure} + \subsubsection{Fan Beam Angle} For these divergent beam geometries, the \emph{fan beam angle} needs to be calculated. For real-world CT scanners, this is fixed at the @@ -220,9 +223,10 @@ This is illustrated in figure 2.3. \caption{Calculation of $\alpha$} \end{figure} + Empiric testing with \ctsim\ shows that for very large \emph{fan beam angles}, greater than approximately -\latexonly{$120^{\circ}$,}\latexignore{120 degrees,} +\latexonly{$120^\circ$,}\latexignore{120 degrees,} there are significant artifacts. The primary way to manage the \emph{fan beam angle} is by varying the \emph{focal length} since the \emph{scan diameter} by the size of the phantom. @@ -257,6 +261,7 @@ and the \emph{focal length}. It is calculated as \end{figure} An example of the this geometry is in figure 2.5. + \subsubsection{Examples of Geometry Settings} Consider increasing the focal length ratio to two leaving the field of view ratio as 1, as in Figure 4. Now the detectors array is @@ -301,4 +306,3 @@ filters for this purpose. Backprojection is the process of ``smearing'' the filtered projections over the reconstructing image. Various levels of interpolation can be specified. 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