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Motiejus Jakštys 2021-05-18 13:56:43 +03:00
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commit bfaded4a57
2 changed files with 45 additions and 54 deletions
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8
IV/Makefile
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@ -153,9 +153,11 @@ RIVERS += salvis-$(1)-$(2)-$(3)-1x50k$(4)
salvis-$(1)-$(2)-$(3)-1x50k$(4)_1SELECT = wm_visuals where name='salvis-$(1)'
salvis-$(1)-$(2)-$(3)-1x50k$(4)_1COLOR = orange
salvis-$(1)-$(2)-$(3)-1x50k$(4)_1LABEL = $(label_$(1))
$(if $(2),
salvis-$(1)-$(2)-$(3)-1x50k$(4)_2SELECT = wm_visuals where name='salvis-$(2)'
salvis-$(1)-$(2)-$(3)-1x50k$(4)_2COLOR = green
salvis-$(1)-$(2)-$(3)-1x50k$(4)_2LABEL = $(label_$(2))
,)
$(if $(3),
salvis-$(1)-$(2)-$(3)-1x50k$(4)_3SELECT = wm_visuals where name='salvis-$(3)'
salvis-$(1)-$(2)-$(3)-1x50k$(4)_3LINESTYLE = dotted
@ -172,9 +174,9 @@ $(foreach x,vw64 dp64 vwchaikin64 dpchaikin64,\
$(eval $(call wm_vwdp50k,wm75,grpk50,grpk10))
$(eval $(call wm_vwdp50k,wm75,grpk50,grpk10,tr))
$(eval $(call wm_vwdp50k,wm75,grpk10,,))
$(eval $(call wm_vwdp50k,wm75,grpk10,,tr))
$(eval $(call wm_vwdp50k,wm75,grpk10,,tl))
$(eval $(call wm_vwdp50k,wm75,,grpk10,))
$(eval $(call wm_vwdp50k,wm75,,grpk10,tr))
$(eval $(call wm_vwdp50k,wm75,,grpk10,tl))
salvis-25k_1SELECT = wm_visuals where name='salvis-grpk10'
salvis-25k_WIDTHDIV = 1

91
IV/mj-msc.tex
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@ -1394,38 +1394,38 @@ Our generalized results are viewed from the following angles:
\begin{figure}[h!]
\centering
\includegraphics[width=\textwidth]{salvis-wm75-grpk10--1x50k}
\includegraphics[width=\textwidth]{salvis-wm75--grpk10-1x50k}
\caption{2x zoomed-in {\WM} for 1:\numprint{50000}.}
\label{fig:salvis-wm75-grpk10--1x50k}
\label{fig:salvis-wm75--grpk10-1x50k}
\end{figure}
As one can see in Figure~\ref{fig:salvis-wm75-grpk10--1x50k}, the illustrations deliver
\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
\includegraphics[width=\textwidth]{salvis-wm75--grpk10-1x50ktr}
\caption{Top--right part of Figure~\ref{fig:salvis-wm75--grpk10-1x50k}.}
\label{fig:salvis-wm75--grpk10-1x50ktr}
\end{figure}
As one can see in Figure~\ref{fig:salvis-wm75--grpk10-1x50k}, the illustrations deliver
what was promised by the algorithm, but with a few caveats. Left side of the
figure looks reasonably well simplified: long bends remain slightly curved,
small bends are removed or slightly exaggerated.
Figure's~\ref{fig:salvis-wm75-grpk10--1x50k} left part is clipped to
Figure~\ref{fig:salvis-wm75-grpk10--1x50ktl}. As one can see, some bends were well
Figure's~\ref{fig:salvis-wm75--grpk10-1x50k} left part is clipped to
Figure~\ref{fig:salvis-wm75--grpk10-1x50ktl}. As one can see, some bends were well
exaggerated, and some bends were eliminated.
\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}
Top--right side (clipped in Figure~\ref{fig:salvis-wm75-grpk10--1x50ktl}) some jagged
Top--right side (clipped in Figure~\ref{fig:salvis-wm75--grpk10-1x50ktl}) some jagged
and sharp bends appear. These will become more pronounced in even larger-scale
simplification in the next section.
\begin{figure}[h!]
\centering
\includegraphics[width=\textwidth]{salvis-wm75-grpk10--1x50ktr}
\caption{Top--right part of Figure~\ref{fig:salvis-wm75-grpk10--1x50k}.}
\label{fig:salvis-wm75-grpk10--1x50ktr}
\end{figure}
To sum up, mid-scale simplification works well for some geometries, but creates
sharp edges for others.
@ -1487,8 +1487,8 @@ future research and improvement:
\subsubsection{Background}
There are a few datasets used in this comparison: GDB10LT, grpk50LT and
grpk250LT. They are vector datasets, which include rivers. They can be
There are a few datasets used in this comparison: GDB10LT, GRPK50 and
GRPK250. They are vector datasets, which include rivers. They can be
downloaded for free from \cite{nzt}. Here are the meanings of the codenames:
\begin{description}
@ -1496,9 +1496,9 @@ downloaded for free from \cite{nzt}. Here are the meanings of the codenames:
\item[GDB10LT] is dataset of highest detail. Suited for maps of scale
1:\numprint{10000}.
\item[grpk50LT] is suited for maps of scale 1:\numprint{50000}.
\item[GRPK50] is suited for maps of scale 1:\numprint{50000}.
\item[grpk250LT] offers least detail, and is suited for maps of
\item[GRPK250] offers least detail, and is suited for maps of
scale 1:\numprint{250000}.
\end{description}
@ -1506,41 +1506,42 @@ downloaded for free from \cite{nzt}. Here are the meanings of the codenames:
During the analysis, we ran {\WM} on GDB10LT for 2 destination scales:
1:\numprint{50000} and 1:\numprint{250000}.\footnote{parameter calculation is
detailed in section~\ref{sec:bend-scaling-and-dimensions}.} This section
compares the resulting {\WM}--generalized rivers to grpk50LT and grpk250LT.
compares the resulting {\WM}--generalized rivers to GRPK50 and GRPK250.
\subsubsection{Medium-scale (1:\numprint{50000})}
For our research location, the national dataset GDB10LT is almost equivalent to
grpk50LT, with a few nuances. Figure~\ref{fig:salvis-wm75-grpk50-grpk10} illustrates
all three shapes: grpk50LT, {\WM}--simplified GDB10LT, and the original GDB10LT.
GRPK50, with a few nuances. Figure~\ref{fig:salvis-wm75-grpk50-grpk10-1x50k}
illustrates all three shapes: GRPK50, {\WM}--simplified GDB10LT, and the
original GDB10LT.
\begin{figure}[h!]
\centering
\includegraphics[width=\textwidth]{salvis-wm75-grpk50-grpk10}
\includegraphics[width=\textwidth]{salvis-wm75-grpk50-grpk10-1x50k}
\caption{2x zoomed-in grpk50LT (green), {\WM}--simplified GDB10LT (orange)
and original GDB10LT (dotted black).}
\caption{GRPK10, GRPK50 and {\WM} for 1:\numprint{50000}.}
\label{fig:salvis-wm75-grpk50-grpk10}
\label{fig:salvis-wm75-grpk50-grpk10-1x50k}
\end{figure}
\begin{figure}[h!]
\centering
\includegraphics[width=\textwidth]{salvis-wm75-grpk50-grpk10-1x50ktr}
\caption{Top--right side of Figure~\ref{fig:salvis-wm75-grpk50-grpk10}.}
\caption{Top--right side of Figure~\ref{fig:salvis-wm75-grpk50-grpk10-1x50k}.}
\label{fig:salvis-wm75-grpk50-grpk10-1x50ktr}
\end{figure}
Although figures are almost identical, Figure~\ref{fig:salvis-wm75-grpk50-grpk10-1x50ktr}
illustrates two small bends that have been removed in grpk50LT, but have been
exaggerated by our implementation.
Although figures are almost identical,
Figure~\ref{fig:salvis-wm75-grpk50-grpk10-1x50ktr} illustrates two small bends
that have been removed in GRPK50, but have been exaggerated by our
implementation.
\subsubsection{Large-scale (1:\numprint{250000})}
\label{sec:national-large-scale}
Figure~\ref{fig:salvis-wm220} illustrates the original grpk250LT and the
Figure~\ref{fig:salvis-wm220} illustrates the original GRPK250 and the
{\WM}--simplified version. As section~\ref{sec:analyzed-large-scale} explains,
the algorithm tries to exaggerate many bends to a great size. However, grpk250LT
the algorithm tries to exaggerate many bends to a great size. However, GRPK250
takes the opposite approach --- only the very basic shapes of the largest bends
are retained. Time and customers will tell, which approach is more appropriate,
after the current {\WM} implementation receives some time and attention, as
@ -1550,7 +1551,7 @@ desired in section~\ref{sec:future-suggestions}.
\centering
\begin{subfigure}[b]{.49\textwidth}
\includegraphics[width=\textwidth]{salvis-grpk250-2x}
\caption{grpk250LT.}
\caption{GRPK250.}
\end{subfigure}
\hfill
\begin{subfigure}[b]{.49\textwidth}
@ -1558,7 +1559,7 @@ desired in section~\ref{sec:future-suggestions}.
\includegraphics[width=\textwidth]{salvis-wm220}
\caption{{\WM}-simplified GDB10LT.}
\end{subfigure}
\caption{grpk250LT and {\WM}--simplified GDB10LT.}
\caption{GRPK250 and {\WM}--simplified GDB10LT.}
\label{fig:salvis-wm220}
\end{figure}
@ -1574,18 +1575,12 @@ in this section to 1:\numprint{50000}.
\includegraphics[width=\textwidth]{salvis-wm75-dp64-grpk10-1x50k}
\caption{{\DP} (green), {\WM} (orange) and original (black dotted) at
1:\numprint{50000}.}
\label{fig:salvis-wm75-dp64-grpk10-1x50k}
\end{figure}
\begin{figure}[h!]
\includegraphics[width=\textwidth]{salvis-wm75-dpchaikin64-grpk10-1x50k}
\caption{Chaikin--smoothened {\DP} (green), {\WM} (orange) and original
(black dotted) at 1:\numprint{50000}.}
\label{fig:salvis-wm75-dpchaikin64-grpk10-1x50k}
\end{figure}
@ -1593,18 +1588,12 @@ in this section to 1:\numprint{50000}.
\begin{figure}[h!]
\includegraphics[width=\textwidth]{salvis-wm75-vw64-grpk10-1x50k}
\caption{{\VW} (green), {\WM} (orange) and original (black dotted) at
1:\numprint{50000}.}
\label{fig:salvis-wm75-vw64-grpk10-1x50k}
\end{figure}
\begin{figure}[h!]
\includegraphics[width=\textwidth]{salvis-wm75-vwchaikin64-grpk10-1x50k}
\caption{Chaikin--smoothened {\VW} (green), {\WM} (orange) and original
(black dotted) at 1:\numprint{50000}.}
\label{fig:salvis-wm75-vwchaikin64-grpk10-1x50k}
\end{figure}