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Motiejus Jakštys 2021-04-13 09:12:06 +03:00
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IV/mj-msc.tex
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@ -24,6 +24,7 @@
\input{vars.inc} \input{vars.inc}
\newcommand{\onpage}[1]{\ref{#1} on page~\pageref{#1}} \newcommand{\onpage}[1]{\ref{#1} on page~\pageref{#1}}
\newcommand{\titlecite}[1]{\citetitle{#1} \cite{#1}}
\newcommand{\DP}{Douglas \& Peucker} \newcommand{\DP}{Douglas \& Peucker}
\newcommand{\VW}{Visvalingam--Whyatt} \newcommand{\VW}{Visvalingam--Whyatt}
\newcommand{\WM}{Wang--M{\"u}ller} \newcommand{\WM}{Wang--M{\"u}ller}
@ -155,18 +156,23 @@ go-to algorithms for line generalization. During recent years, alternatives
have emerged. These modern replacements fall into roughly two categories: have emerged. These modern replacements fall into roughly two categories:
\begin{itemize} \begin{itemize}
\item Cartographic knowledge was encoded to an algorithm (bottom-up \item Cartographic knowledge was encoded to an algorithm (bottom-up
approach). One among these are \cite{wang1998line}. approach). One among these are \titlecite{wang1998line}, also known
as {\WM}'s algorithm.
\item Mathematical shape transformation which yields a more cartographic \item Mathematical shape transformation which yields a more cartographic
result. E.g. \cite{jiang2003line}, \cite{dyken2009simultaneous}, result. E.g. \titlecite{jiang2003line},
\cite{mustafa2006dynamic}, \cite{nollenburg2008morphing}. \titlecite{dyken2009simultaneous}, \titlecite{mustafa2006dynamic},
\titlecite{nollenburg2008morphing}.
\end{itemize} \end{itemize}
Authors of most of the aforementioned articles have implemented the Authors of most of the aforementioned articles have implemented the
generalization algorithm, at least to generate the visuals in the articles. generalization algorithm, at least to generate the visuals in the articles.
However, I wasn't able to find code for any of those to evaluate with my However, I wasn't able to find code for any of those to evaluate with my
desired data set, or use as a basis for my own maps. \cite{wang1998line} is desired data set, or use as a basis for my own maps. {\WM} \cite{wang1998line}
available in a commercial product. is available in a commercial product.
Lack of robust openly available generalization algorithm implementations poses Lack of robust openly available generalization algorithm implementations poses
a problem for map creation with free software: there is not a similar a problem for map creation with free software: there is not a similar
@ -180,14 +186,14 @@ as a whole.
\section{Methodology} \section{Methodology}
\label{sec:methodology} \label{sec:methodology}
The original \cite{wang1998line} leaves something to be desired for a practical The original {\WM}'s algorithm \cite{wang1998line} leaves something to be
implementation: it is not straightforward to implement the algorithm from the desired for a practical implementation: it is not straightforward to implement
paper alone. the algorithm from the paper alone.
Explanations in this document are meant to expand, rather than substitute, the Explanations in this document are meant to expand, rather than substitute, the
original description in \cite{wang1998line}. Therefore familiarity with the original description in {\WM}. Therefore familiarity with the original paper is
original paper is assumed, and, for some sections, having it close-by is assumed, and, for some sections, having it close-by is necessary to
necessary to meaningfully follow this document. meaningfully follow this document.
In this paper we describe {\WM} in a detail that is more useful for algorithm: In this paper we describe {\WM} in a detail that is more useful for algorithm:
each section will be expanded, with more elaborate and exact illustrations for each section will be expanded, with more elaborate and exact illustrations for