From: Kevin M. Rosenberg Date: Thu, 8 Feb 2001 15:52:59 +0000 (+0000) Subject: r502: no message X-Git-Tag: debian-4.5.3-3~515 X-Git-Url: http://git.kpe.io/?p=ctsim.git;a=commitdiff_plain;h=512a128ce9bc1d4a4477df791d2a1e63148752af r502: no message --- diff --git a/doc/ctsim-concepts.tex b/doc/ctsim-concepts.tex index f8c0da1..32d60c8 100644 --- a/doc/ctsim-concepts.tex +++ b/doc/ctsim-concepts.tex @@ -215,7 +215,7 @@ to be calculated. For real-world CT scanners, this is fixed at the time of manufacture. \ctsim, however, calculates the \emph{fan beam angle}, \latexonly{$\alpha$,}\latexignore{\emph{alpha},} from the diameter of the \emph{scan diameter} and the \emph{focal length} -\latexignore{\\$$\emph{alpha = 2 x asin ( (Sd / 2) / F)}$$\\} +\latexignore{\\$$\emph{alpha = 2 x asin ( (Sd / 2) / f)}$$\\} \latexonly{$$\alpha = 2 \sin^{-1} ((s_d / 2) / f)$$} This is illustrated in figure 2.3. \begin{figure} @@ -231,6 +231,14 @@ there are significant artifacts. The primary way to manage the \emph{fan beam angle} is by varying the \emph{focal length} since the \emph{scan diameter} by the size of the phantom. +$$s_d = p_d v_R s_R$$ +If $v_r = 1$ and $s_R = 1$, then $s_d = p_d$. Further, $f = f_R v_R (p_d / 2)$ +Plugging these equations into the above equation, +$$\alpha = 2\,\sin^{-1} \frac{p_d / 2}{f_R (p_d / 2)}$$ +$$\alpha = 2\,\sin^{-1} (1 / f_R)$$ + +Thus, $\alpha$ depends only upon the \emph{focal length ratio}. + \subsubsection{Detector Array Size} In general, you do not need to be concerned with the detector array size. It is automatically calculated by \ctsim. The size of the diff --git a/doc/ctsim.tex b/doc/ctsim.tex index 7501625..c86d1d5 100644 --- a/doc/ctsim.tex +++ b/doc/ctsim.tex @@ -10,6 +10,7 @@ \usepackage{hyperref} \input{psbox.tex} +\includeonly{ctsim-concepts,ctsim-install,ctsim-gui,ctsim-textui,ctsim-web,ctsim-appendix} \hyphenation{poly-gon-al} \newcommand{\ctsim}{\texttt{CTSim}} @@ -29,7 +30,7 @@ %\backgroundcolour{255;255;255}\textcolour{0;0;0}% Has an effect in HTML only \winhelpignore{\title{CTSim 3.0 User Manual}% \author{Kevin Rosenberg, M.D.}% -\date{January 2001}% +\date{February 2001}% }% \winhelponly{\title{CTSim 3.0 User Manual}% \author{by Kevin Rosenberg, M.D.\\$$\image{3cm;3cm}{logo-huge.bmp}$$}%