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[ctsim.git] / doc / ctsim-concepts.tex

diff --git a/doc/ctsim-concepts.tex b/doc/ctsim-concepts.tex
index 64a870dc1a88fe545610fa531d4d414966ea585f..12cdc3f603942ad4ccc1abfe63b1bb3d912e81b7 100644 (file)
--- a/doc/ctsim-concepts.tex
+++ b/doc/ctsim-concepts.tex
@@ -119,10 +119,6 @@ length}. These variables are input into \ctsim\ in terms of
 ratios rather than absolute values.
 
 \subsubsection{Phantom Diameter}\index{Phantom!Diameter}
 ratios rather than absolute values.
 
 \subsubsection{Phantom Diameter}\index{Phantom!Diameter}

-\begin{figure}
-$$\image{5cm;0cm}{scangeometry.eps}$$
-\caption{\label{phantomgeomfig} Phantom Geometry}
-\end{figure}

 The phantom diameter is automatically calculated by \ctsim\ from
 the phantom definition. The maximum of the phantom length and
 height is used to define the square that completely surrounds the
 The phantom diameter is automatically calculated by \ctsim\ from
 the phantom definition. The maximum of the phantom length and
 height is used to define the square that completely surrounds the


@@ -134,9 +130,13 @@ Pythagorean theorem and is
 \latexonly{\begin{equation}p_d = p_l \sqrt{2}\end{equation}}
 CT scanners collect projections around a
 circle rather than a square. The diameter of this circle is
 \latexonly{\begin{equation}p_d = p_l \sqrt{2}\end{equation}}
 CT scanners collect projections around a
 circle rather than a square. The diameter of this circle is

-the diameter of the boundary square \latexonly{$p_d$.  These
-relationships are diagrammed in figure~\ref{phantomgeomfig}.}
-\latexignore{emph{Pd}.}
+the diameter of the boundary square \latexonly{$p_d$.}
+\latexignore{\emph{Pd}.}
+\latexonly{These relationships are diagrammed in figure~\ref{phantomgeomfig}.}
+\begin{figure}
+\centerline{\image{5cm;0cm}{scangeometry.eps}}
+\latexonly{\caption{\label{phantomgeomfig} Phantom Geometry}}
+\end{figure}

 
 \subsubsection{View Diameter}\index{View diameter}
 The \emph{view diameter} is the area that is being processed
 
 \subsubsection{View Diameter}\index{View diameter}
 The \emph{view diameter} is the area that is being processed


@@ -218,8 +218,8 @@ source produces a fan beam which is read by a linear array of detectors.  If
 the detectors occupy an arc of a circle, then the geometry is equiangular.
 \latexonly{These configurations are shown in figure~\ref{divergentfig}.}
 \begin{figure}
 the detectors occupy an arc of a circle, then the geometry is equiangular.
 \latexonly{These configurations are shown in figure~\ref{divergentfig}.}
 \begin{figure}

-\image{10cm;0cm}{divergent.eps}
-\caption{\label{divergentfig} Equilinear and equiangular geometries.}
+\centerline{\image{10cm;0cm}{divergent.eps}}
+\latexonly{\caption{\label{divergentfig} Equilinear and equiangular geometries.}}

 \end{figure}
 
 
 \end{figure}
 
 


@@ -232,11 +232,11 @@ the \emph{focal length}:
 \latexignore{\centerline{\emph{alpha = 2 x asin (
 (Sd / 2) / f)}}}
 \latexonly{\begin{equation}\label{alphacalc}\alpha = 2 \sin^{-1}
 \latexignore{\centerline{\emph{alpha = 2 x asin (
 (Sd / 2) / f)}}}
 \latexonly{\begin{equation}\label{alphacalc}\alpha = 2 \sin^{-1}

-((s_d / 2) / f)\end{equation}
- This is illustrated in figure~\ref{alphacalcfig}.}
+((s_d / 2) / f)\end{equation}}
+\latexonly{This is illustrated in figure~\ref{alphacalcfig}.}

 \begin{figure}
 \begin{figure}

-\image{10cm;0cm}{alphacalc.eps}
-\caption{\label{alphacalcfig} Calculation of $\alpha$}
+\centerline{\image{10cm;0cm}{alphacalc.eps}}
+\latexonly{\caption{\label{alphacalcfig} Calculation of $\alpha$}}

 \end{figure}
 
 
 \end{figure}
 
 


@@ -283,13 +283,15 @@ the \emph{scan diameter} increases the detector array size.
 
 For equiangular geometry, the detectors are spaced around a circle
 covering an angular distance of
 
 For equiangular geometry, the detectors are spaced around a circle
 covering an angular distance of

-\latexonly{$2\,\alpha$.}\latexignore{\emph{2 \alpha}.} The dotted
-circle in
+\latexonly{$2\,\alpha$.}\latexignore{\emph{2 \alpha}.}
+The dotted circle
+\latexonly{in figure~\ref{equiangularfig}}
+indicates the positions of the detectors in this case.
+

 \begin{figure}
 \begin{figure}

-\image{10cm;0cm}{equiangular.eps}
-\caption{\label{equiangularfig}Equiangular geometry}
+\centerline{\image{10cm;0cm}{equiangular.eps}}
+\latexonly{\caption{\label{equiangularfig}Equiangular geometry}}

 \end{figure}
 \end{figure}

-figure~\ref{equiangularfig} indicates the positions of the detectors in this case.

 
 For equilinear geometry, the detectors are space along a straight
 line. The length of the line depends upon
 
 For equilinear geometry, the detectors are space along a straight
 line. The length of the line depends upon


@@ -297,11 +299,11 @@ line. The length of the line depends upon
 length}. It is calculated as
 \latexonly{\begin{equation}4\,f \tan (\alpha / 2)\end{equation}}
 \latexignore{\\\centerline{\emph{4 x F x tan(\alpha/2)}}}
 length}. It is calculated as
 \latexonly{\begin{equation}4\,f \tan (\alpha / 2)\end{equation}}
 \latexignore{\\\centerline{\emph{4 x F x tan(\alpha/2)}}}

+\latexonly{This geometry is shown in figure~\ref{equilinearfig}.}

 \begin{figure}\label{equilinearfig}
 \begin{figure}\label{equilinearfig}

-\image{10cm;0cm}{equilinear.eps}
-\caption{\label{equilinearfig} Equilinear geometry}
+\centerline{\image{10cm;0cm}{equilinear.eps}}
+\latexonly{\caption{\label{equilinearfig} Equilinear geometry}}

 \end{figure}
 \end{figure}

-\latexonly{This geometry is shown in figure~\ref{equilinearfig}.}

 
 
 \section{Reconstruction}\label{conceptreconstruction}\index{Reconstruction Overview}%
 
 
 \section{Reconstruction}\label{conceptreconstruction}\index{Reconstruction Overview}%