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proper sinewave comparisons

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Motiejus Jakštys 2020-05-26 14:17:39 +03:00
parent a8dc7e82d5
commit 82b4400474
2 changed files with 42 additions and 19 deletions
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14
II/Referatas/Makefile
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@ -1,12 +1,13 @@
ZEIMENA_TOLERANCES = 100 125 250 500 1000 2000 4000 ZEIMENA_TOLERANCES = 100 125 250 500 1000 2000 4000
SINEWAVE_TOLERANCES = 4 5 SINEWAVE_TOLERANCES = 1 2 3 4
GEN = $(addsuffix .pdf, \ GEN = $(addsuffix .pdf, \
$(addprefix sinewave-douglas-,$(SINEWAVE_TOLERANCES)) \ $(addprefix sinewave-douglas-,$(SINEWAVE_TOLERANCES)) \
$(addprefix sinewave-visvalingam-,$(SINEWAVE_TOLERANCES)) \
$(addprefix zeimena-douglas-,$(ZEIMENA_TOLERANCES)) \ $(addprefix zeimena-douglas-,$(ZEIMENA_TOLERANCES)) \
$(addprefix zeimena-visvalingam-,$(ZEIMENA_TOLERANCES))) $(addprefix zeimena-visvalingam-,$(ZEIMENA_TOLERANCES)))
mj-referatas.pdf: mj-referatas.tex version.tex bib.bib zeimena-pretty.pdf \ mj-referatas.pdf: mj-referatas.tex version.tex bib.bib zeimena-pretty.pdf \
sinewave.pdf sinewave-douglas-5.pdf $(GEN) sinewave.pdf $(GEN)
latexmk -g -pdf $< latexmk -g -pdf $<
define algo2img define algo2img
@ -15,12 +16,13 @@ db/.faux_$(1)-$(2)-%: $(2).sql db/.faux_ready
touch $$@ touch $$@
$(1)-$(2)-%.pdf: layer2img.py db/.faux_$(1)-$(2)-% $(1)-$(2)-%.pdf: layer2img.py db/.faux_$(1)-$(2)-%
./layer2img.py --table=$(1)_$(2)_$$* --size=52x74 --outfile $(1)-$(2)-$$*.pdf ./layer2img.py --table=$(1)_$(2)_$$* --size=$(3) --outfile $(1)-$(2)-$$*.pdf
endef endef
$(eval $(call algo2img,sinewave,douglas)) $(eval $(call algo2img,sinewave,douglas,52x12))
$(eval $(call algo2img,zeimena,douglas)) $(eval $(call algo2img,sinewave,visvalingam,52x12))
$(eval $(call algo2img,zeimena,visvalingam)) $(eval $(call algo2img,zeimena,douglas,52x74))
$(eval $(call algo2img,zeimena,visvalingam,52x74))
sinewave.gpkg: sinewave.py sinewave.gpkg: sinewave.py
./sinewave.py ./sinewave.py

47
II/Referatas/mj-referatas.tex
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@ -169,11 +169,11 @@ are comparable?), {\DP} tolerance was arbitrarily squared and fed to {\VW}. To
author's eye, this provides comparable and reasonable results, though could be author's eye, this provides comparable and reasonable results, though could be
researched. researched.
As can be observed in table~\ref{tab:dp-vs-vw} on page~\pageref{tab:dp-vs-vw}, As can be observed in table~\ref{tab:comparison-zeimena} on
both simplication algorithms convert bends to chopped lines. This is especially page~\pageref{tab:comparison-zeimena}, both simplication algorithms convert
visible in tolerances 250 and 500. In a more robust simplification algorithm, bends to chopped lines. This is especially visible in tolerances 250 and 500.
the larger tolerance, the larger the bends on the original map should be In a more robust simplification algorithm, the larger tolerance, the larger the
retained. bends on the original map should be retained.
\begin{figure}[H] \begin{figure}[H]
\renewcommand{\tabularxcolumn}[1]{>{\center\small}m{#1}} \renewcommand{\tabularxcolumn}[1]{>{\center\small}m{#1}}
@ -206,12 +206,11 @@ retained.
\includegraphics[width=.0625\linewidth]{zeimena-douglas-4000} & \includegraphics[width=.0625\linewidth]{zeimena-douglas-4000} &
\includegraphics[width=.0625\linewidth]{zeimena-visvalingam-4000} \tabularnewline \hline \includegraphics[width=.0625\linewidth]{zeimena-visvalingam-4000} \tabularnewline \hline
\end{tabularx} \end{tabularx}
\caption{{\DP} and {\VW} side-by-side visual comparison} \caption{{\DP} and {\VW} side-by-side on Žeimena}
\label{tab:dp-vs-vw} \label{tab:comparison-zeimena}
\end{figure} \end{figure}
To sum up, both {\VW} and {\DP} simplify the lines, but their cartographic To sum up, both {\VW} and {\DP} simplify the lines, but their cartographic
output poorly represents lines and bends. Where to look for better output? output poorly represents lines and bends. Where to look for better output?
@ -234,13 +233,35 @@ straight line, but too small to retain both and retain their complexity.
\end{figure} \end{figure}
When one applies {\DP} to figure~\ref{pic:sinewave}, either both bends remain, When one applies {\DP} to figure~\ref{pic:sinewave}, either both bends remain,
or become a straight line. or become a straight line, see table~\ref{tab:comparison-sinewave} on
page~\pageref{tab:comparison-sinewave}.
\begin{figure}[h] \begin{figure}[h]
\centering \renewcommand{\tabularxcolumn}[1]{>{\center\small}m{#1}}
\includegraphics[width=52mm]{sinewave-douglas-5} \begin{tabularx}{\textwidth}{ p{1.5cm} | X | X | }
\caption{Example bend, generalized} Tolerance DP/VW &
\label{pic:sinewave-douglas-5} Douglas \& Peucker &
Visvalingam-Whyatt \tabularnewline \hline
1/1 &
\includegraphics[width=\linewidth]{sinewave-douglas-1} &
\includegraphics[width=\linewidth]{sinewave-visvalingam-1} \tabularnewline \hline
2/4 &
\includegraphics[width=\linewidth]{sinewave-douglas-2} &
\includegraphics[width=\linewidth]{sinewave-visvalingam-2} \tabularnewline \hline
3/9 &
\includegraphics[width=\linewidth]{sinewave-douglas-3} &
\includegraphics[width=\linewidth]{sinewave-visvalingam-3} \tabularnewline \hline
4/16 &
\includegraphics[width=\linewidth]{sinewave-douglas-4} &
\includegraphics[width=\linewidth]{sinewave-visvalingam-4} \tabularnewline \hline
\end{tabularx}
\caption{{\DP} and {\VW} on example wave}
\label{tab:comparison-sinewave}
\end{figure} \end{figure}
\section{Related Work and future suggestions} \section{Related Work and future suggestions}