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Motiejus Jakštys 2021-05-18 14:36:02 +03:00
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IV/mj-msc.tex
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@ -697,8 +697,10 @@ functions\cite{postgisref} for working with geometric and geographic objects.
Due to its wide applicability and rich library of spatial functions, PostGIS is Due to its wide applicability and rich library of spatial functions, PostGIS is
the implementation language of the {\WM} algorithm. The implementation exposes the implementation language of the {\WM} algorithm. The implementation exposes
the entrypoint function \textsc{st\_simplifywm}: the entrypoint function \textsc{st\_simplifywm}, in
listing~\ref{lst:st-simplifywm}.
\begin{listing}
\begin{minted}[fontsize=\small]{sql} \begin{minted}[fontsize=\small]{sql}
create function ST_SimplifyWM( create function ST_SimplifyWM(
geom geometry, geom geometry,
@ -706,7 +708,10 @@ create function ST_SimplifyWM(
intersect_patience integer default 10, intersect_patience integer default 10,
dbgname text default null dbgname text default null
) returns geometry ) returns geometry
\end{minted} \end{minted}
\caption{Function \textsc{st\_simplifywm}.}
\label{lst:st-simplifywm}
\end{listing}
This function accepts the following parameters: This function accepts the following parameters:
\begin{description} \begin{description}
@ -1392,21 +1397,14 @@ Our generalized results are viewed from the following angles:
\subsubsection{Medium-scale (1:\numprint{50000})} \subsubsection{Medium-scale (1:\numprint{50000})}
\label{sec:analyzed-medium-scale} \label{sec:analyzed-medium-scale}
\begin{figure}[h] \begin{figure}[h!]
\centering \centering
\includegraphics[width=\textwidth]{salvis-wm75--grpk10-1x50k} \includegraphics[width=\textwidth]{salvis-wm75--grpk10-1x50k}
\caption{2x zoomed-in {\WM} for 1:\numprint{50000}.} \caption{2x zoomed-in {\WM} for 1:\numprint{50000}.}
\label{fig:salvis-wm75--grpk10-1x50k} \label{fig:salvis-wm75--grpk10-1x50k}
\end{figure} \end{figure}
\begin{figure}[h] \begin{figure}[h!]
\centering
\includegraphics[width=\textwidth]{salvis-wm75--grpk10-1x50ktl}
\caption{Left part of Figure~\ref{fig:salvis-wm75--grpk10-1x50k}.}
\label{fig:salvis-wm75--grpk10-1x50ktl}
\end{figure}
\begin{figure}[h]
\centering \centering
\includegraphics[width=\textwidth]{salvis-wm75--grpk10-1x50ktr} \includegraphics[width=\textwidth]{salvis-wm75--grpk10-1x50ktr}
\caption{Top--right part of Figure~\ref{fig:salvis-wm75--grpk10-1x50k}.} \caption{Top--right part of Figure~\ref{fig:salvis-wm75--grpk10-1x50k}.}
@ -1467,8 +1465,6 @@ A conglomeration of bends is visible, especially in top--right side of the
illustration. We assume this was caused by two bends significantly exaggerated, illustration. We assume this was caused by two bends significantly exaggerated,
leaving no space to exaggerate for those between the two. leaving no space to exaggerate for those between the two.
\clearpage
\subsubsection{Discussion} \subsubsection{Discussion}
For mid-size scales of 1:\numprint{50000}, the implemented algorithm works well For mid-size scales of 1:\numprint{50000}, the implemented algorithm works well
@ -1508,11 +1504,9 @@ downloaded for free from \cite{nzt}. Here are the meanings of the codenames:
\end{description} \end{description}
During the analysis, we ran {\WM} on GRPK10 for 2 destination scales: During the analysis, we ran {\WM} on GRPK10 for 2 destination scales:
1:\numprint{50000} and 1:\numprint{250000}.\footnote{How parameters are 1:\numprint{50000} and 1:\numprint{250000}.\footnote{parameter calculation is
calculated is detailed in section~\ref{sec:bend-scaling-and-dimensions}.} This detailed in section~\ref{sec:bend-scaling-and-dimensions}.} This section
section compares the resulting {\WM}--generalized rivers to GRPK50 and GRPK250. compares the resulting {\WM}--generalized rivers to GRPK50 and GRPK250.
\clearpage
\subsubsection{Medium-scale (1:\numprint{50000})} \subsubsection{Medium-scale (1:\numprint{50000})}
@ -1530,6 +1524,13 @@ original GRPK10.
\label{fig:salvis-wm75-grpk50-grpk10-1x50k} \label{fig:salvis-wm75-grpk50-grpk10-1x50k}
\end{figure} \end{figure}
\begin{figure}[h!]
\centering
\includegraphics[width=\textwidth]{salvis-wm75-grpk50-grpk10-1x50ktl}
\caption{Left side of Figure~\ref{fig:salvis-wm75-grpk50-grpk10-1x50k}.}
\label{fig:salvis-wm75-grpk50-grpk10-1x50ktl}
\end{figure}
\begin{figure}[h!] \begin{figure}[h!]
\centering \centering
\includegraphics[width=\textwidth]{salvis-wm75-grpk50-grpk10-1x50ktr} \includegraphics[width=\textwidth]{salvis-wm75-grpk50-grpk10-1x50ktr}
@ -1632,8 +1633,6 @@ produces poorly simplified results for some geometries.
\label{fig:openmap-wm-bad} \label{fig:openmap-wm-bad}
\end{figure} \end{figure}
\clearpage
\section{Conclusions} \section{Conclusions}
\label{sec:conclusions} \label{sec:conclusions}