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mj-msc.tex
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@ -226,16 +226,17 @@ straightforward to adjust for different scales.
Both algorithms are part of PostGIS, a free-software GIS suite: Both algorithms are part of PostGIS, a free-software GIS suite:
\begin{itemize} \begin{itemize}
\item {\DP} via \item {\DP} via
\href{https://postgis.net/docs/ST_Simplify.html}{PostGIS \texttt{ST\_Simplify}}. \href{https://postgis.net/docs/ST_Simplify.html}{PostGIS \textsc{st\_simplify}}.
\item {\VW} via \item {\VW} via
\href{https://postgis.net/docs/ST_SimplifyVW.html}{PostGIS \texttt{SimplifyVW}}. \href{https://postgis.net/docs/ST_SimplifyVW.html}{PostGIS
\textsc{st\_simplifyvw}}.
\end{itemize} \end{itemize}
It may be worthwhile to post-process those through a widely available Chaikin's It may be worthwhile to post-process those through a widely available Chaikin's
line smoothing algorithm\cite{chaikin1974algorithm} via line smoothing algorithm\cite{chaikin1974algorithm} via
\href{https://postgis.net/docs/ST_ChaikinSmoothing.html}{PostGIS \href{https://postgis.net/docs/ST_ChaikinSmoothing.html}{PostGIS
\texttt{ST\_ChaikinSmoothing}}. \textsc{st\_chaikinsmoothing}}.
To use in generalization examples, we will use two rivers: Šalčia and Visinčia. To use in generalization examples, we will use two rivers: Šalčia and Visinčia.
These rivers were chosen, because they have both large and small bends, and These rivers were chosen, because they have both large and small bends, and
@ -277,12 +278,12 @@ simplification for scale 1:\numprint{50000} and especially for
\centering \centering
\begin{subfigure}[b]{.49\textwidth} \begin{subfigure}[b]{.49\textwidth}
\includegraphics[width=\textwidth]{salvis-douglas-64-50k} \includegraphics[width=\textwidth]{salvis-douglas-64-50k}
\caption{Using {\DP}} \caption{Using {\DP}.}
\end{subfigure} \end{subfigure}
\hfill \hfill
\begin{subfigure}[b]{.49\textwidth} \begin{subfigure}[b]{.49\textwidth}
\includegraphics[width=\textwidth]{salvis-visvalingam-64-50k} \includegraphics[width=\textwidth]{salvis-visvalingam-64-50k}
\caption{Using {\VW}} \caption{Using {\VW}.}
\end{subfigure} \end{subfigure}
\caption{Generalized using classical algorithms (1:\numprint{50000}).} \caption{Generalized using classical algorithms (1:\numprint{50000}).}
\label{fig:salvis-generalized-50k} \label{fig:salvis-generalized-50k}
@ -299,12 +300,12 @@ figure~\onpage{fig:salvis-generalized-chaikin-50k}.
\centering \centering
\begin{subfigure}[b]{.49\textwidth} \begin{subfigure}[b]{.49\textwidth}
\includegraphics[width=\textwidth]{salvis-douglas-64-chaikin-50k} \includegraphics[width=\textwidth]{salvis-douglas-64-chaikin-50k}
\caption{{\DP} + Chaikin's} \caption{{\DP} + Chaikin's.}
\end{subfigure} \end{subfigure}
\hfill \hfill
\begin{subfigure}[b]{.49\textwidth} \begin{subfigure}[b]{.49\textwidth}
\includegraphics[width=\textwidth]{salvis-visvalingam-64-chaikin-50k} \includegraphics[width=\textwidth]{salvis-visvalingam-64-chaikin-50k}
\caption{{\VW} + Chaikin's} \caption{{\VW} + Chaikin's.}
\end{subfigure} \end{subfigure}
\caption{Generalized and smoothened river (1:\numprint{50000}).} \caption{Generalized and smoothened river (1:\numprint{50000}).}
\label{fig:salvis-generalized-chaikin-50k} \label{fig:salvis-generalized-chaikin-50k}
@ -314,12 +315,12 @@ figure~\onpage{fig:salvis-generalized-chaikin-50k}.
\centering \centering
\begin{subfigure}[b]{.49\textwidth} \begin{subfigure}[b]{.49\textwidth}
\includegraphics[width=\textwidth]{salvis-overlaid-douglas-64-chaikin-50k} \includegraphics[width=\textwidth]{salvis-overlaid-douglas-64-chaikin-50k}
\caption{{\DP} + Chaikin's} \caption{{\DP} + Chaikin's.}
\end{subfigure} \end{subfigure}
\hfill \hfill
\begin{subfigure}[b]{.49\textwidth} \begin{subfigure}[b]{.49\textwidth}
\includegraphics[width=\textwidth]{salvis-overlaid-visvalingam-64-chaikin-50k} \includegraphics[width=\textwidth]{salvis-overlaid-visvalingam-64-chaikin-50k}
\caption{{\VW} + Chaikin's} \caption{{\VW} + Chaikin's.}
\end{subfigure} \end{subfigure}
\caption{Zoomed-in generalized and smoothened river + original.} \caption{Zoomed-in generalized and smoothened river + original.}
\label{fig:salvis-overlaid-generalized-chaikin-50k} \label{fig:salvis-overlaid-generalized-chaikin-50k}
@ -549,7 +550,7 @@ We will explain two instances on when automated tests were very useful during
the implementation: the implementation:
\begin{itemize} \begin{itemize}
\item Created a function \texttt{wm\_exaggeration}, which exaggerates bends \item Created a function \textsc{wm\_exaggeration}, which exaggerates bends
following the rules. It worked well over simple geometries, but, due to following the rules. It worked well over simple geometries, but, due to
a subtle bug, created a self-crossing bend in Visinčia. We copied the a subtle bug, created a self-crossing bend in Visinčia. We copied the
offending bend to the automated test suite and fixed the bug. The test offending bend to the automated test suite and fixed the bug. The test
@ -632,7 +633,7 @@ easier than discriminating different line shapes or colors.
\subsection{Debugging} \subsection{Debugging}
NOTE: this will explain how intermediate debugging tables (\texttt{wm\_debug}) NOTE: this will explain how intermediate debugging tables (\textsc{wm\_debug})
work. This is not related to the algorithm, but the only the implementation work. This is not related to the algorithm, but the only the implementation
itself (probably should come together with paper's regeneration and unit itself (probably should come together with paper's regeneration and unit
tests). tests).
@ -641,7 +642,7 @@ tests).
NOTE: explain how different river segments are merged into a single line. This NOTE: explain how different river segments are merged into a single line. This
is not explained in the {\WM} paper, but is a necessary prerequisite. This is is not explained in the {\WM} paper, but is a necessary prerequisite. This is
implemented in \texttt{aggregate-rivers.sql}. implemented in \textsc{aggregate-rivers.sql}.
\subsection{Bend scaling and dimensions} \subsection{Bend scaling and dimensions}
\label{sec:bend-scaling-and-dimensions} \label{sec:bend-scaling-and-dimensions}
@ -892,7 +893,7 @@ fraction of bends whose sum of inner angles is smaller than $180^\circ$.
\subsection{Attributes of a Single Bend} \subsection{Attributes of a Single Bend}
\textsc{Compactness Index} is "the ratio of the area of the polygon over the \textsc{compactness index} is "the ratio of the area of the polygon over the
circle whose circumference length is the same as the length of the circle whose circumference length is the same as the length of the
circumference of the polygon" \cite{wang1998line}. Given a bend, its circumference of the polygon" \cite{wang1998line}. Given a bend, its
compactness index is calculated as follows: compactness index is calculated as follows:
@ -967,7 +968,7 @@ To find out whether two bends are similar, they are compared by 3 components:
\begin{enumerate} \begin{enumerate}
\item \textsc{adjusted size} $A_{adj}$ \item \textsc{adjusted size} $A_{adj}$
\item \textsc{compactness index} $c$ \item \textsc{compactness index} $c$
\item \textsc{Baseline length} $l$ \item \textsc{baseline length} $l$
\end{enumerate} \end{enumerate}
Components 1, 2 and 3 represent a point in a 3-dimensional space, and Euclidean Components 1, 2 and 3 represent a point in a 3-dimensional space, and Euclidean
@ -992,7 +993,7 @@ NOTE: not implemented.
\subsection{Exaggeration Operator} \subsection{Exaggeration Operator}
NOTE: implemented, explain. Also {\texttt intersection\_tolerance} parameter. NOTE: implemented, explain. Also {\textsc intersection\_tolerance} parameter.
\section{Program Implementation} \section{Program Implementation}
@ -1038,10 +1039,10 @@ Like explained in section~\ref{sec:reproducing-the-paper}, illustrations in
\inputcode{bash}{extract-and-generate} \inputcode{bash}{extract-and-generate}
\subsection{Function \texttt{ST\_SimplifyWV}} \subsection{Function \textsc{st\_simplifywv}}
\inputcode{postgresql}{wm.sql} \inputcode{postgresql}{wm.sql}
\subsection{Function \texttt{aggregate\_rivers}} \subsection{Function \textsc{aggregate\_rivers}}
\inputcode{postgresql}{aggregate-rivers.sql} \inputcode{postgresql}{aggregate-rivers.sql}
\end{appendices} \end{appendices}