douglas-peucker and visvalingam examples
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IV/Makefile
23
IV/Makefile
@ -28,7 +28,11 @@ FIGURES = \
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RIVERS = \
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salvis-25k \
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salvis-50k \
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salvis-250k
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salvis-250k \
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salvis-douglas-64-50k \
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salvis-visvalingam-64-50k \
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salvis-douglas-64-chaikin-50k \
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salvis-visvalingam-64-chaikin-50k
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#################################
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# The thesis, publishable version
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@ -126,6 +130,23 @@ salvis-50k_WIDTHDIV = 2
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salvis-250k_1SELECT = wm_visuals where name='salvis'
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salvis-250k_WIDTHDIV = 10
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#salvis-douglas-64-50k_1SELECT = wm_visuals where name='salvis'
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salvis-douglas-64-50k_2SELECT = wm_visuals where name='salvis-douglas-64'
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salvis-douglas-64-50k_WIDTHDIV = 2
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#salvis-visvalingam-64-50k_1SELECT = wm_visuals where name='salvis'
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salvis-visvalingam-64-50k_2SELECT = wm_visuals where name='salvis-visvalingam-64'
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salvis-visvalingam-64-50k_WIDTHDIV = 2
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salvis-douglas-64-chaikin-50k_1SELECT = wm_visuals where name='salvis'
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salvis-douglas-64-chaikin-50k_2SELECT = wm_visuals where name='salvis-douglas-64-chaikin'
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salvis-douglas-64-chaikin-50k_WIDTHDIV = 2
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salvis-visvalingam-64-chaikin-50k_1SELECT = wm_visuals where name='salvis'
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salvis-visvalingam-64-chaikin-50k_2SELECT = wm_visuals where name='salvis-visvalingam-64-chaikin'
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salvis-visvalingam-64-chaikin-50k_WIDTHDIV = 2
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.faux_test-rivers: tests-rivers.sql wm.sql Makefile .faux_db
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bash db -v scaledwidth=$(SCALEDWIDTH) -f $<
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touch $@
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@ -24,7 +24,7 @@ def inch(cm):
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def parse_args():
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parser = argparse.ArgumentParser(
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description='Convert a geometry to an image')
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parser.add_argument('--group1-select', required=True)
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parser.add_argument('--group1-select')
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parser.add_argument('--group1-linestyle')
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simplify = parser.add_mutually_exclusive_group()
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@ -91,9 +91,9 @@ def main():
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fig, ax = plt.subplots()
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fig.set_figwidth(inch(width))
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group1 is not None and group1.plot(ax=ax, **c1)
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group2 is not None and group2.plot(ax=ax, **c2)
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group3 is not None and group3.plot(ax=ax, **c3)
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group1 is not None and group1.plot(ax=ax, linewidth=.75, **c1)
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group2 is not None and group2.plot(ax=ax, linewidth=.75, **c2)
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group3 is not None and group3.plot(ax=ax, linewidth=.75, **c3)
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ax.axis('off')
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ax.margins(0, 0)
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@ -34,6 +34,8 @@
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% does not require minted
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\usepackage{verbatim}
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\newcommand{\inputcode}[2]{\verbatiminput{#2}}
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\usepackage{setspace}
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\doublespacing
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\fi
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\input{version.inc}
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@ -192,12 +194,6 @@ thus convenient to analyze for both small and large scale generalization.
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\label{fig:salvis-25}
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\end{figure}
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Same rivers, unprocessed, but with higher density (scales 1:50000 and 1:250000)
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are depicted in figure~\ref{fig:salvis-50-250}. Some river features are so
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compact that a reasonably thin line depicting the river is overlapping with
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itself, creating a thicker line in print. As a result, generalization for this
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river for a smaller scale is worthy.
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\begin{figure}[h]
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\centering
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\begin{subfigure}[b]{.49\textwidth}
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@ -214,6 +210,50 @@ river for a smaller scale is worthy.
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\label{fig:salvis-50-250}
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\end{figure}
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Same rivers, unprocessed, but with higher density (scales 1:50000 and 1:250000)
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are depicted in figure~\onpage{fig:salvis-50-250}. Some river features are so
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compact that a reasonably thin line depicting the river is touching itself,
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creating a thicker line. As a result, generalization for this river for a
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smaller scale is worthy.
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\begin{figure}[h]
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\centering
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\begin{subfigure}[b]{.49\textwidth}
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\includegraphics[width=\textwidth]{salvis-douglas-64-50k}
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\caption{Using {\DP}}
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\end{subfigure}
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\hfill
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\begin{subfigure}[b]{.49\textwidth}
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\includegraphics[width=\textwidth]{salvis-visvalingam-64-50k}
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\caption{Using {\VW}}
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\end{subfigure}
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\caption{Generalized using classical algorithms (1:50000).}
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\label{fig:salvis-generalized-50k}
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\end{figure}
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Figure~\onpage{fig:salvis-generalized-50k} illustrates the same river bend, but
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generalized using {\DP} and {\VW} algorithms. The resulting lines are jagged,
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thus the resulting line looks unlike a real river. To smoothen the jaggedness,
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traditionally, Chaikin's\cite{chaikin1974algorithm} is applied after
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generalization, illustrated in
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figure~\onpage{fig:salvis-generalized-chaikin-50k}.
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\begin{figure}[h]
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\centering
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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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\caption{Using {\DP} and Chaikin's}
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\end{subfigure}
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\hfill
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\begin{subfigure}[b]{.49\textwidth}
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\includegraphics[width=\textwidth]{salvis-visvalingam-64-chaikin-50k}
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\caption{Using {\VW} and Chaikin's}
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\end{subfigure}
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\caption{Generalized and smoothened river (1:50000).}
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\label{fig:salvis-generalized-chaikin-50k}
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\end{figure}
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\subsubsection{Modern approaches}
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Due to their simplicity and ubiquity, {\DP} and {\VW} have been established as
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@ -22,7 +22,7 @@ begin
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end
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$$ language plpgsql;
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delete from wm_visuals where name in ('salvis');
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delete from wm_visuals where name like 'salvis%';
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insert into wm_visuals(name, way) values('salvis', (
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select st_intersection(
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(select st_union(way) from wm_rivers where name in ('Šalčia', 'Visinčia')),
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@ -36,6 +36,23 @@ insert into wm_visuals(name, way) values('salvis', (
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)
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));
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do $$
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declare
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i integer;
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geom1 geometry;
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geom2 geometry;
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begin
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foreach i in array array[16, 64, 256] loop
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geom1 = st_simplify((select way from wm_visuals where name='salvis'), i);
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geom2 = st_simplifyvw((select way from wm_visuals where name='salvis'), i*i);
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insert into wm_visuals(name, way) values
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('salvis-douglas-' || i, geom1),
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('salvis-douglas-' || i || '-chaikin', st_chaikinsmoothing(geom1, 5)),
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('salvis-visvalingam-' || i, geom2),
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('salvis-visvalingam-' || i || '-chaikin', st_chaikinsmoothing(geom2, 5));
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end loop;
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end $$ language plpgsql;
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do $$
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declare
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npoints bigint;
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