|
@@ -19,7 +19,7 @@ Resolution in limited angle PET is not homogeneous in all directions due to angu
|
|
|
\textbf{Spatial resolution contribution}
|
|
|
|
|
|
\begin{minipage}{0.5\textwidth}
|
|
|
-\includegraphics[width=0.9\textwidth]{/home/studen/Downloads/limitedAngleSpatialResolution.png}
|
|
|
+\includegraphics[width=0.9\textwidth]{limitedAngleSpatialResolution.png}
|
|
|
\end{minipage}
|
|
|
\begin{minipage}{0.5\textwidth}
|
|
|
The probability of a LOR set given image $\lambda$ is determined by the likelihood function, a product of probability densities for each of the LOR in the set:
|
|
@@ -75,12 +75,12 @@ A 50~cm detector at 50~cm gives you a limiting tangens 0.5 and a multiplication
|
|
|
%\includegraphics[width=0.9\textwidth]{/home/studen/software/src/simulPET/zResolutionCTheta.png}
|
|
|
%\end{minipage}
|
|
|
%\begin{minipage}{0.5\textwidth}
|
|
|
-\includegraphics[width=0.9\textwidth]{/home/studen/software/src/simulPET/zResolutionTTheta.png}
|
|
|
+\includegraphics[width=0.9\textwidth]{zResolutionTTheta.png}
|
|
|
%\end{minipage}
|
|
|
|
|
|
\textbf{TOF resolution}\\
|
|
|
\begin{minipage}{0.5\textwidth}
|
|
|
-\includegraphics[width=0.9\textwidth]{/home/studen/Downloads/limitedAngleTOF.png}
|
|
|
+ \includegraphics[width=0.9\textwidth]{limitedAngleTOF.png}
|
|
|
\end{minipage}
|
|
|
\begin{minipage}{0.5\textwidth}
|
|
|
The procedure is identical to the above, except that the limiting distance is now along the LOR, with the distance s from the expected source position, and that a different parameter, $\sigma_t$ allows for TOF resolution. The z pdf is:
|
|
@@ -102,7 +102,7 @@ with
|
|
|
\end{equation}
|
|
|
\end{minipage}
|
|
|
|
|
|
-\includegraphics[width=0.9\textwidth]{/home/studen/software/src/simulPET/zResolutionTOFTTheta.png}
|
|
|
+\includegraphics[width=0.9\textwidth]{zResolutionTOFTTheta.png}
|
|
|
|
|
|
\textbf{Combined effect}\\
|
|
|
|
|
@@ -110,7 +110,7 @@ with
|
|
|
\frac{1}{\sigma^2}=\frac{1}{\sigma_T^2}+\frac{1}{\sigma_r^2}
|
|
|
\end{equation}
|
|
|
|
|
|
-\includegraphics[width=0.9\textwidth]{/home/studen/software/src/simulPET/zResolutionCombinedTTheta.png}
|
|
|
+\includegraphics[width=0.9\textwidth]{zResolutionCombinedTTheta.png}
|
|
|
|
|
|
|
|
|
\end{document}
|