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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}
\newcommand{\onpage}[1]{\ref{#1} on page~\pageref{#1}}
\newcommand{\titlecite}[1]{\citetitle{#1} \cite{#1}}
\newcommand{\DP}{Douglas \& Peucker}
\newcommand{\VW}{Visvalingam--Whyatt}
\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:
\begin{itemize}
\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
result. E.g. \cite{jiang2003line}, \cite{dyken2009simultaneous},
\cite{mustafa2006dynamic}, \cite{nollenburg2008morphing}.
result. E.g. \titlecite{jiang2003line},
\titlecite{dyken2009simultaneous}, \titlecite{mustafa2006dynamic},
\titlecite{nollenburg2008morphing}.
\end{itemize}
Authors of most of the aforementioned articles have implemented the
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
desired data set, or use as a basis for my own maps. \cite{wang1998line} is
available in a commercial product.
desired data set, or use as a basis for my own maps. {\WM} \cite{wang1998line}
is available in a commercial product.
Lack of robust openly available generalization algorithm implementations poses
a problem for map creation with free software: there is not a similar
@ -180,14 +186,14 @@ as a whole.
\section{Methodology}
\label{sec:methodology}
The original \cite{wang1998line} leaves something to be desired for a practical
implementation: it is not straightforward to implement the algorithm from the
paper alone.
The original {\WM}'s algorithm \cite{wang1998line} leaves something to be
desired for a practical implementation: it is not straightforward to implement
the algorithm from the paper alone.
Explanations in this document are meant to expand, rather than substitute, the
original description in \cite{wang1998line}. Therefore familiarity with the
original paper is assumed, and, for some sections, having it close-by is
necessary to meaningfully follow this document.
original description in {\WM}. Therefore familiarity with the original paper is
assumed, and, for some sections, having it close-by is necessary to
meaningfully follow this document.
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