less strict placement
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@ -251,14 +251,14 @@ thus convenient to analyze for both small and large scale generalization.
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Figure~\onpage{fig:salvis-25} illustrates the original two rivers without any
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Figure~\onpage{fig:salvis-25} illustrates the original two rivers without any
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simplification.
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simplification.
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\begin{figure}[h]
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\begin{figure}[ht]
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\centering
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\centering
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\includegraphics[width=\textwidth]{salvis-25k}
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\includegraphics[width=\textwidth]{salvis-25k}
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\caption{Example rivers for visual tests (1:{\numprint{25000}}).}
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\caption{Example rivers for visual tests (1:{\numprint{25000}}).}
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\label{fig:salvis-25}
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\label{fig:salvis-25}
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\end{figure}
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\end{figure}
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\begin{figure}[h]
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\begin{figure}[ht]
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\centering
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\centering
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\begin{subfigure}[b]{.49\textwidth}
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\begin{subfigure}[b]{.49\textwidth}
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\includegraphics[width=\textwidth]{salvis-50k}
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\includegraphics[width=\textwidth]{salvis-50k}
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@ -281,7 +281,7 @@ is touching itself, creating a thicker line. We can assume that some
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simplification for scale 1:\numprint{50000} and especially for
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simplification for scale 1:\numprint{50000} and especially for
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1:\numprint{250000} are worthwhile.
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1:\numprint{250000} are worthwhile.
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\begin{figure}[h]
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\begin{figure}[ht]
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\centering
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\centering
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\begin{subfigure}[b]{.49\textwidth}
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\begin{subfigure}[b]{.49\textwidth}
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\includegraphics[width=\textwidth]{salvis-douglas-64-50k}
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\includegraphics[width=\textwidth]{salvis-douglas-64-50k}
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@ -303,7 +303,7 @@ traditionally, Chaikin's\cite{chaikin1974algorithm} is applied after
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generalization, illustrated in
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generalization, illustrated in
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figure~\onpage{fig:salvis-generalized-chaikin-50k}.
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figure~\onpage{fig:salvis-generalized-chaikin-50k}.
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\begin{figure}[h]
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\begin{figure}[ht]
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\centering
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\centering
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\begin{subfigure}[b]{.49\textwidth}
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\begin{subfigure}[b]{.49\textwidth}
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\includegraphics[width=\textwidth]{salvis-douglas-64-chaikin-50k}
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\includegraphics[width=\textwidth]{salvis-douglas-64-chaikin-50k}
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@ -318,7 +318,7 @@ figure~\onpage{fig:salvis-generalized-chaikin-50k}.
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\label{fig:salvis-generalized-chaikin-50k}
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\label{fig:salvis-generalized-chaikin-50k}
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\end{figure}
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\end{figure}
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\begin{figure}[h]
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\begin{figure}[ht]
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\centering
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\centering
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\begin{subfigure}[b]{.49\textwidth}
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\begin{subfigure}[b]{.49\textwidth}
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\includegraphics[width=\textwidth]{salvis-overlaid-douglas-64-chaikin-50k}
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\includegraphics[width=\textwidth]{salvis-overlaid-douglas-64-chaikin-50k}
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@ -363,7 +363,7 @@ classical algorithms would remove these bends altogether. A cartographer would
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retain a few of those distinctive bends, but would increase the distance
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retain a few of those distinctive bends, but would increase the distance
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between the bends, remove some of the bends, or both.
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between the bends, remove some of the bends, or both.
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\begin{figure}[h]
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\begin{figure}[ht]
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\includegraphics[width=\textwidth]{amalgamate1}
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\includegraphics[width=\textwidth]{amalgamate1}
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\caption{Narrow bends amalgamating into large unintelligible blobs.}
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\caption{Narrow bends amalgamating into large unintelligible blobs.}
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\label{fig:pixel-amalgamation}
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\label{fig:pixel-amalgamation}
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@ -449,7 +449,7 @@ Figure~\ref{fig:wang125} illustrates {\WM} algorithm from their original
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paper. Note how the long bends retain curvy, and how some small bends got
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paper. Note how the long bends retain curvy, and how some small bends got
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exaggerated.
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exaggerated.
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\begin{figure}[h]
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\begin{figure}[ht]
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\centering
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\centering
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\includegraphics[width=.8\textwidth]{wang125}
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\includegraphics[width=.8\textwidth]{wang125}
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@ -543,7 +543,7 @@ matches the resulting hand-calculated geometry.
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The full set of test geometries is visualized in figure~\ref{fig:test-figures}.
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The full set of test geometries is visualized in figure~\ref{fig:test-figures}.
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\begin{figure}[h]
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\begin{figure}[ht]
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\centering
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\centering
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\includegraphics[width=\textwidth]{test-figures}
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\includegraphics[width=\textwidth]{test-figures}
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\caption{Geometries for automated test cases.}
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\caption{Geometries for automated test cases.}
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@ -758,7 +758,7 @@ diameter of the bend. A semi-circle of 1.5mm diameter is depicted in
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figure~\ref{fig:half-circle}. In other words, a bend of this size or larger,
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figure~\ref{fig:half-circle}. In other words, a bend of this size or larger,
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when adjusted to scale, will not be simplified.
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when adjusted to scale, will not be simplified.
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\begin{figure}[h]
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\begin{figure}[ht]
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\centering
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\centering
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\begin{tikzpicture}[x=1mm,y=1mm]
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\begin{tikzpicture}[x=1mm,y=1mm]
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\draw[] (-10, 0) -- (-.75,0) arc (225:-45:.75) -- (10, 0);
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\draw[] (-10, 0) -- (-.75,0) arc (225:-45:.75) -- (10, 0);
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@ -773,7 +773,7 @@ Assuming measurement units in projected coordinate system are meters (for
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example, \titlecite{epsg3857}), values of some popular scales is highlighted in
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example, \titlecite{epsg3857}), values of some popular scales is highlighted in
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table~\ref{table:scale-halfcirlce-diameter}.
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table~\ref{table:scale-halfcirlce-diameter}.
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\begin{table}[h]
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\begin{table}[ht]
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\centering
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\centering
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\begin{tabular}{ c D{.}{.}{1} }
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\begin{tabular}{ c D{.}{.}{1} }
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Scale & \multicolumn{1}{c}{$D(m)$} \\ \hline
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Scale & \multicolumn{1}{c}{$D(m)$} \\ \hline
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@ -832,7 +832,7 @@ article.
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Figure~\ref{fig:fig8-definition-of-a-bend} illustrates article's figure 8,
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Figure~\ref{fig:fig8-definition-of-a-bend} illustrates article's figure 8,
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but with bends colored as polygons: each color is a distinctive bend.
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but with bends colored as polygons: each color is a distinctive bend.
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\begin{figure}[h]
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\begin{figure}[ht]
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\centering
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\centering
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\includegraphics[width=\textwidth]{fig8-definition-of-a-bend}
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\includegraphics[width=\textwidth]{fig8-definition-of-a-bend}
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\caption{Originally figure 8: detected bends are highlighted.}
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\caption{Originally figure 8: detected bends are highlighted.}
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@ -851,7 +851,7 @@ The gist of the section is in the original article:
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Figure~\ref{fig:fig5-gentle-inflection} visualizes original paper's figure 5,
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Figure~\ref{fig:fig5-gentle-inflection} visualizes original paper's figure 5,
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when a single vertex is moved outwards the end of the bend.
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when a single vertex is moved outwards the end of the bend.
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\begin{figure}[h]
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\begin{figure}[ht]
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\centering
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\centering
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\begin{subfigure}[b]{.49\textwidth}
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\begin{subfigure}[b]{.49\textwidth}
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\includegraphics[width=\textwidth]{fig5-gentle-inflection-before}
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\includegraphics[width=\textwidth]{fig5-gentle-inflection-before}
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@ -878,7 +878,7 @@ additional example was created, and illustrated in
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figure~\ref{fig:inflection-1-gentle-inflection}: the rule re-assigns two
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figure~\ref{fig:inflection-1-gentle-inflection}: the rule re-assigns two
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vertices to the next bend.
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vertices to the next bend.
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\begin{figure}[h]
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\begin{figure}[ht]
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\centering
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\centering
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\begin{subfigure}[b]{.49\textwidth}
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\begin{subfigure}[b]{.49\textwidth}
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\includegraphics[width=\textwidth]{inflection-1-gentle-inflection-before}
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\includegraphics[width=\textwidth]{inflection-1-gentle-inflection-before}
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@ -923,7 +923,7 @@ should be removed. There are a few rules on when and how they should be removed
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complexity and applied optimizations. Figure~\ref{fig:fig6-selfcrossing} is
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complexity and applied optimizations. Figure~\ref{fig:fig6-selfcrossing} is
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copied from the original article.
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copied from the original article.
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\begin{figure}[h]
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\begin{figure}[ht]
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\centering
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\centering
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\begin{subfigure}[b]{.49\textwidth}
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\begin{subfigure}[b]{.49\textwidth}
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\includegraphics[width=\textwidth]{fig6-selfcrossing-before}
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\includegraphics[width=\textwidth]{fig6-selfcrossing-before}
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@ -938,7 +938,7 @@ copied from the original article.
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\label{fig:fig6-selfcrossing}
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\label{fig:fig6-selfcrossing}
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\end{figure}
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\end{figure}
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\begin{figure}[h]
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\begin{figure}[ht]
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\centering
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\centering
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\begin{subfigure}[b]{.49\textwidth}
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\begin{subfigure}[b]{.49\textwidth}
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\includegraphics[width=\textwidth]{selfcrossing-1-before}
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\includegraphics[width=\textwidth]{selfcrossing-1-before}
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