Merge branch 'slides-2021-06-02'
Motiejus Jakštys
commit
6945c5bd80
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@ -26,6 +26,7 @@ __pycache__
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.tmp/
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*.pyc
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*.pyg
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*.vrb
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*.inc.tex
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_minted-*/
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*.qgz
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|
|
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58
Makefile
58
Makefile
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@ -3,9 +3,8 @@ RIVERFILTER = Visinčia|Šalčia|Nemunas
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# Max figure size (in meters) is when it's width is TEXTWIDTH_CM on scale 1:25k
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SCALEDWIDTH = $(shell awk '/^TEXTWIDTH_CM/{print 25000/100*$$3}' layer2img.py)
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ARCHIVABLES = $(filter-out slides-2021-03-29.txt,$(shell git ls-files .))
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SLIDES = slides-2021-03-29.pdf
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SLIDES_IN = slides-2021-03-29.txt slides-2021-06-02.tex
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SLIDES = slides-2021-03-29 slides-2021-06-02
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LISTINGS = aggregate-rivers.sql wm.sql extract-and-generate
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FIGURES = \
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@ -22,6 +21,9 @@ FIGURES = \
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selfcrossing-1 \
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isolated-1-exaggerated
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FIGURES_SLIDES += isolated-1-before \
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isolated-1-after
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RIVERS = \
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salvis-25k \
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salvis-2x50k \
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@ -38,6 +40,9 @@ RIVERS = \
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salvis-wm-overlaid-250k-zoom \
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salvis-wm220
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RIVERS_SLIDES += salvis-dp64overlaid-2x50k \
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salvis-dpchaikin64overlaid-2x50k
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################################################################################
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# FIGURES
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################################################################################
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@ -103,6 +108,15 @@ isolated-1-exaggerated_1SELECT = wm_debug where name='isolated-1' AND stage='afi
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isolated-1-exaggerated_2SELECT = wm_debug where name='isolated-1' AND stage='afigures' AND gen=1
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isolated-1-exaggerated_1COLOR = orange
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isolated-1-before_1SELECT = wm_debug where name='isolated-1' AND stage='afigures' AND gen=1
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isolated-1-before_2SELECT = wm_debug where name='isolated-1' AND stage='afigures' AND gen=2
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isolated-1-before_2LINESTYLE = invisible
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isolated-1-before_WIDTHDIV = 2
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isolated-1-after_1SELECT = wm_debug where name='isolated-1' AND stage='afigures' AND gen=2
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isolated-1-after_1COLOR = orange
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isolated-1-after_WIDTHDIV = 2
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################################################################################
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# 250K
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################################################################################
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@ -135,6 +149,8 @@ label_grpk10 = GRPK 1:\numprint{10000}
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label_grpk50 = GRPK 1:\numprint{50000}
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label_vwchaikin64 = $(label_vw64) and Chaikin
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label_dpchaikin64 = $(label_dp64) and Chaikin
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label_vwchaikin64lt = $(label_vw64) ir Chaikin
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label_dpchaikin64lt = $(label_dp64) ir Chaikin
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legend_ = lower left
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legend_tr = lower right
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legend_tl = lower center
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@ -179,6 +195,22 @@ salvis-25k_WIDTHDIV = 1
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salvis-2x50k_1SELECT = wm_visuals where name='salvis-grpk10'
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salvis-2x50k_WIDTHDIV = 2
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salvis-dp64overlaid-2x50k_1SELECT = wm_visuals where name='salvis-grpk10'
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salvis-dp64overlaid-2x50k_1LABEL = $(label_grpk10)
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salvis-dp64overlaid-2x50k_2SELECT = wm_visuals where name='salvis-dp64'
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salvis-dp64overlaid-2x50k_2LABEL = $(label_dp64)
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salvis-dp64overlaid-2x50k_2COLOR = orange
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salvis-dp64overlaid-2x50k_QUADRANT = tl
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salvis-dp64overlaid-2x50k_LEGEND = $(legend_tl)
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salvis-dpchaikin64overlaid-2x50k_1SELECT = wm_visuals where name='salvis-grpk10'
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salvis-dpchaikin64overlaid-2x50k_1LABEL = $(label_grpk10)
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salvis-dpchaikin64overlaid-2x50k_2SELECT = wm_visuals where name='salvis-dpchaikin64'
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salvis-dpchaikin64overlaid-2x50k_2COLOR = orange
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salvis-dpchaikin64overlaid-2x50k_2LABEL = $(label_dpchaikin64lt)
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salvis-dpchaikin64overlaid-2x50k_QUADRANT = tl
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salvis-dpchaikin64overlaid-2x50k_LEGEND = $(legend_tl)
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salvis-dp64-2x50k_1SELECT = wm_visuals where name='salvis-dp64'
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salvis-dp64-2x50k_WIDTHDIV = 2
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@ -220,14 +252,16 @@ $(1).pdf: layer2img.py Makefile $(2)
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)
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endef
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$(foreach fig,$(FIGURES),$(eval $(call FIG_template,$(fig),.faux_test)))
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$(foreach fig,$(RIVERS), $(eval $(call FIG_template,$(fig),.faux_visuals)))
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$(foreach fig,$(FIGURES), $(eval $(call FIG_template,$(fig),.faux_test)))
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$(foreach fig,$(FIGURES_SLIDES),$(eval $(call FIG_template,$(fig),.faux_test)))
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$(foreach fig,$(RIVERS), $(eval $(call FIG_template,$(fig),.faux_visuals)))
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$(foreach fig,$(RIVERS_SLIDES), $(eval $(call FIG_template,$(fig),.faux_visuals)))
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#################################
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# The thesis, publishable version
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#################################
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mj-msc-full.pdf: mj-msc.pdf version.inc.tex $(ARCHIVABLES) ## Thesis for publishing
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mj-msc-full.pdf: mj-msc.pdf version.inc.tex $(filter-out $(SLIDES_IN),$(shell git ls-files .)) ## Thesis for publishing
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cp $< .tmp-$@
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for f in $^; do \
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if [ "$$f" = "$<" ]; then continue; fi; \
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@ -250,7 +284,7 @@ visuals: .faux_visuals # Generate visuals for paper (fast)
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test-rivers: .faux_test-rivers ## Rivers tests (slow)
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.PHONY: slides
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slides: $(SLIDES)
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slides: $(addsuffix .pdf,$(SLIDES))
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.PHONY: refresh-rivers
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refresh-rivers: refresh-rivers-10.sql refresh-rivers-50.sql refresh-rivers-250.sql ## Refresh river data from national datasets
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@ -307,6 +341,14 @@ vars.inc.tex: vars.awk wm.sql Makefile
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slides-2021-03-29.pdf: slides-2021-03-29.txt
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pandoc -t beamer -i $< -o $@
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slides-2021-06-02.pdf: slides-2021-06-02.tex \
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amalgamate1.png \
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isolated-1-before.pdf isolated-1-after.pdf \
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salvis-dp64overlaid-2x50k.pdf \
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salvis-dpchaikin64overlaid-2x50k.pdf \
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$(wilcard *logo.pdf)
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latexmk -shell-escape -pdf $<
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dump-debug_wm.sql.xz:
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docker exec -ti wm-mj pg_dump -Uosm osm -t wm_devug | xz -v > $@
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@ -330,7 +372,7 @@ clean: ## Clean the current working directory
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$(shell git ls-files -o mj-msc*) \
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$(addsuffix .pdf,$(FIGURES)) \
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$(addsuffix .pdf,$(RIVERS)) \
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$(SLIDES)
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$(addsuffix .pdf,$(SLIDES))
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.PHONY: clean-tables
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clean-tables: ## Remove tables created during unit or rivers tests
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|
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Binary file not shown.
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After Width: | Height: | Size: 164 KiB |
Binary file not shown.
Binary file not shown.
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After Width: | Height: | Size: 44 KiB |
Binary file not shown.
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@ -0,0 +1,426 @@
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\documentclass[14pt]{beamer}
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||||
\usetheme{default}
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||||
\usepackage[L7x,T1]{fontenc}
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||||
\usepackage[lithuanian]{babel}
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||||
\usepackage{graphics}
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||||
\usepackage{biblatex}
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||||
\usepackage{tabularx}
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\usepackage[labelfont={color=vupurple},labelformat=empty,justification=centering]{caption}
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\usepackage{tikz}
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||||
\usepackage{minted}
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\usepackage{subcaption}
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||||
|
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\definecolor{vulightgrey}{RGB}{220,220,220}
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\definecolor{vudarkgrey}{RGB}{65,65,65}
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||||
\definecolor{vupurple}{RGB}{123,0,63}
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||||
\definecolor{darkgreen}{RGB}{32,96,32}
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\setbeamercolor{title}{fg=vupurple}
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||||
\setbeamercolor{frametitle}{fg=vupurple}
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\setbeamercolor{abstract title}{fg=vupurple}
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||||
\setbeamercolor{item}{fg=vupurple}
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||||
\setbeamercolor{navigation symbols dimmed}{fg=vulightgrey}
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\setbeamercolor{navigation symbols}{fg=vulightgrey}
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||||
\setbeamercolor{normal text}{fg=vudarkgrey}
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||||
\usefonttheme{serif}
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\AtBeginEnvironment{minted}{%
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\renewcommand{\fcolorbox}[4][]{#4}}
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\usetikzlibrary{shapes.geometric,arrows,positioning}
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\newcommand{\DP}{Douglas \& Peucker}
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\newcommand{\VW}{Visvalingam--Whyatt}
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\newcommand{\WM}{Wang--M{\"u}ller}
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\mode<presentation>{
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||||
\setbeamertemplate{navigation symbols}{
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||||
\insertslidenavigationsymbol
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||||
\insertframenavigationsymbol
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||||
\hspace{0.2cm}
|
||||
\begin{minipage}[c]{0.5cm}
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||||
\vspace{-0.1cm}
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{\strut\insertframenumber{}/\inserttotalframenumber\strut}
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\end{minipage}
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||||
}
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||||
}
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||||
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||||
\newcommand{\twocols}[2]
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||||
{
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||||
\begin{columns}[c]
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\begin{column}{0.45\textwidth}
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#1
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\end{column}
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||||
%\hspace{0pt} \vrule{}
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\begin{column}{0.55\textwidth}
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#2
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\end{column}
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\end{columns}
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}
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%% =============================================================================
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\title{
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\Large\textsc{wang–müller algoritmo realizacija
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kartografinei upių generalizacijai}
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}
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\author{\small \bf Motiejus Jakštys \\[4ex]
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\includegraphics[height=4em]{vu}
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||||
}
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\date{\small 2021-06-02}
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||||
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||||
\begin{document}
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||||
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||||
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||||
\AtBeginSection[]
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||||
{
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||||
\begin{frame}
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||||
\frametitle{Turinys}
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||||
\tableofcontents[currentsection]
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||||
\end{frame}
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||||
}
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||||
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||||
\begin{frame}
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||||
\titlepage
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\end{frame}
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%\begin{frame}
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||||
% \begin{abstract}
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%
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||||
% Dabartiniai linijų simplifikavimo algoritmai netinka upėms. Šis darbas
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||||
% realizuoja {\WM} algoritmą. Jis geriau tinka upėms.
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%
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% \end{abstract}
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||||
%\end{frame}
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\section{Problema}
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\begin{frame}{Linijų paprastinimo algoritmų problemos}
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||||
\twocols{
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||||
\begin{figure}[ht]
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||||
\includegraphics[width=\textwidth]{salvis-dp64overlaid-2x50k}
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||||
\includegraphics[width=\textwidth]{salvis-dpchaikin64overlaid-2x50k}
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||||
\end{figure}
|
||||
}{
|
||||
\begin{itemize}
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||||
\item Nepritaikyti gamtiniams objektams: upėms, krantų linijoms.
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||||
\item Prarandami raiškūs gamtinių objektų elementai: vingiai, kilpos.
|
||||
\end{itemize}
|
||||
}
|
||||
\end{frame}
|
||||
|
||||
\section{Uždaviniai}
|
||||
|
||||
\begin{frame}{Uždaviniai: algoritmų vertinimas}
|
||||
\twocols{
|
||||
\includegraphics[width=\textwidth]{amalgamate1}
|
||||
}{
|
||||
\begin{itemize}
|
||||
\item Įvertinti prieinamus linijų paprastinimo algoritmus.
|
||||
\item Įvardinti prieinamų algoritmų problemas.
|
||||
\end{itemize}
|
||||
}
|
||||
\end{frame}
|
||||
|
||||
|
||||
\begin{frame}{Uždaviniai: {\WM} realizacija}
|
||||
\twocols{
|
||||
\begin{figure}[ht]
|
||||
\includegraphics[width=\textwidth]{wang125-2}
|
||||
\caption{{\WM} siūlomas metodas.}
|
||||
\end{figure}
|
||||
|
||||
}{
|
||||
\begin{itemize}
|
||||
\item Apibrėžti algoritmo techninės realizacijos metodiką.
|
||||
\item Teoriškai ir techniškai realizuoti algoritmą.
|
||||
\item Išbandyti su skirtingais duomenų rinkiniais.
|
||||
\item Palyginti su valstybiniais duomenų rinkiniais.
|
||||
\end{itemize}
|
||||
}
|
||||
\end{frame}
|
||||
|
||||
\section{Aktualumas}
|
||||
|
||||
\begin{frame}[fragile]{Aktualumas: praplečiama teorija}
|
||||
\begin{columns}[c]
|
||||
\begin{column}{.3\textwidth}
|
||||
\begin{figure}[ht]
|
||||
\includegraphics[width=\textwidth]{selfcrossing-1}
|
||||
\end{figure}
|
||||
\end{column}
|
||||
\begin{column}{.7\textwidth}
|
||||
\begin{itemize}
|
||||
|
||||
\item Praplečia išplėsti kartografinės teorijos žinias apie gamtinių
|
||||
objektų ribų generalizavimą atsižvelgiant į jų raiškumą.
|
||||
|
||||
\item {\WM} straipsnis sprendimų nedetalizuoja taip, kad būtų
|
||||
galima pritaikyti. Šis darbas tai padaro.
|
||||
|
||||
\end{itemize}
|
||||
\end{column}
|
||||
\end{columns}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Aktualumas: panaudojimas}
|
||||
\begin{columns}[c]
|
||||
\begin{column}{.3\textwidth}
|
||||
\begin{figure}[ht]
|
||||
\includegraphics[width=\textwidth]{github-wm}
|
||||
\end{figure}
|
||||
\end{column}
|
||||
\begin{column}{.7\textwidth}
|
||||
\begin{itemize}
|
||||
|
||||
\item Papildomas atviro kodo sprendimas automatiniam generalizavimo
|
||||
uždaviniams.
|
||||
|
||||
\item Pritaikomas kartografų.
|
||||
|
||||
\end{itemize}
|
||||
\end{column}
|
||||
\end{columns}
|
||||
\end{frame}
|
||||
|
||||
|
||||
\section{Metodika}
|
||||
|
||||
\begin{frame}{Techninė implementacija: aplinka}
|
||||
\begin{columns}[c]
|
||||
\begin{column}{.3\textwidth}
|
||||
\begin{figure}[ht]
|
||||
\begin{subfigure}[b]{\textwidth}
|
||||
\centering
|
||||
\includegraphics[width=.7\textwidth]{postgis-logo}
|
||||
\end{subfigure}
|
||||
\\[1ex]
|
||||
\begin{subfigure}[b]{\textwidth}
|
||||
\centering
|
||||
\includegraphics[width=.5\textwidth]{postgresql-logo}
|
||||
\end{subfigure}
|
||||
\\[1ex]
|
||||
\begin{subfigure}[b]{\textwidth}
|
||||
\centering
|
||||
\includegraphics[width=.6\textwidth]{osi-logo}
|
||||
\end{subfigure}
|
||||
\end{figure}
|
||||
\end{column}
|
||||
\begin{column}{.7\textwidth}
|
||||
|
||||
\begin{itemize}
|
||||
\item Realizacija kurta PostGIS.
|
||||
|
||||
\item PostGIS yra PostgreSQL duomenų bazės papildinys darbui su GIS.
|
||||
|
||||
\item Atviro kodo nemokama programinė įranga.
|
||||
|
||||
\item PostGIS sprendimai veikia iš praktiškai bet kokios programavimo
|
||||
kalbos, todėl yra universalūs.
|
||||
|
||||
\end{itemize}
|
||||
|
||||
\end{column}
|
||||
\end{columns}
|
||||
\end{frame}
|
||||
|
||||
|
||||
\begin{frame}[fragile]{Techninė implementacija: algoritmas}
|
||||
\begin{minted}[fontsize=\small]{sql}
|
||||
CREATE FUNCTION ST_SimplifyWM(
|
||||
geom geometry,
|
||||
dhalfcircle float,
|
||||
) RETURNS geometry AS $$
|
||||
...
|
||||
END $$ LANGUAGE plpgsql;
|
||||
\end{minted}
|
||||
|
||||
\vspace{2em}
|
||||
|
||||
\textsc{dhalfcircle}: pusskritulio skersmuo. Analogiško ir didesnio ploto
|
||||
linkių, nei šis pusapskritimis, nepaprastina.
|
||||
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Algoritmo realizacijos procesas}
|
||||
\tikzset{
|
||||
startstop/.style={trapezium,text centered,minimum height=2em,
|
||||
trapezium left angle=70,trapezium right angle=110,draw=black,fill=red!20},
|
||||
proc/.style={rectangle,minimum height=2em,text centered,draw=black,
|
||||
fill=orange!20},
|
||||
decision/.style={diamond,minimum height=2em,text centered,aspect=3,
|
||||
draw=black,fill=green!20},
|
||||
arrow/.style={thick,->,>=stealth},
|
||||
}
|
||||
\begin{figure}
|
||||
\centering
|
||||
\scalebox{.35}{
|
||||
\begin{tikzpicture}[node distance=2cm,auto]
|
||||
\node (start) [startstop] {Nuskaityti \textsc{linestring}};
|
||||
\node (detect) [proc,below of=start] {Aptikti linkius};
|
||||
\node (inflections) [proc,below of=detect] {Sutvarkyti nežymius išlinkimus};
|
||||
\node (selfcrossing) [proc,below of=inflections] {Pašalinti save kertančias vietas};
|
||||
\node (mutated1) [decision,below of=selfcrossing] {Koreguotas?};
|
||||
\node (bendattrs) [proc,below of=mutated1] {Apskaičiuoti linkio savybes};
|
||||
\node (exaggeration) [proc,below of=bendattrs] {Didinti linkį};
|
||||
\node (mutated2) [decision,below of=exaggeration] {Koreguotas?};
|
||||
\node (elimination) [proc,below of=mutated2] {Pašalinti linkį};
|
||||
\node (mutated3) [decision,below of=elimination] {Koreguotas?};
|
||||
\node (stop) [startstop,below of=mutated3] {Pabaiga};
|
||||
|
||||
\coordinate [right of=mutated1,node distance=5cm] (mutated1y) {};
|
||||
\coordinate [right of=mutated2,node distance=5cm] (mutated2y) {};
|
||||
\coordinate [right of=mutated3,node distance=5cm] (mutated3y) {};
|
||||
|
||||
\draw [arrow] (start) -- (detect);
|
||||
\draw [arrow] (detect) -- (inflections);
|
||||
\draw [arrow] (inflections) -- (selfcrossing);
|
||||
\draw [arrow] (selfcrossing) -- (mutated1);
|
||||
\draw [arrow] (mutated1) -| node [near start] {Taip} (mutated1y) |- (detect);
|
||||
\draw [arrow] (mutated1) -- node[anchor=west] {Ne} (bendattrs);
|
||||
\draw [arrow] (bendattrs) -- (exaggeration);
|
||||
\draw [arrow] (exaggeration) -- (mutated2);
|
||||
\draw [arrow] (mutated2) -| node [near start] {Taip} (mutated2y) |- (detect);
|
||||
\draw [arrow] (mutated2) -- node[anchor=west] {Ne} (elimination);
|
||||
\draw [arrow] (mutated3) -| node [near start] {Taip} (mutated3y) |- (detect);
|
||||
\draw [arrow] (mutated3) -- node[anchor=west] {Ne} (stop);
|
||||
\draw [arrow] (elimination) -- (mutated3);
|
||||
\end{tikzpicture}
|
||||
}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Automatiniai testai padeda tęstinumui}
|
||||
\tikzset{
|
||||
arrow/.style={thick,->,>=stealth},
|
||||
}
|
||||
\begin{figure}
|
||||
\begin{tikzpicture}[auto]
|
||||
\onslide<1->{
|
||||
\node (before) []{
|
||||
\includegraphics[width=.4\textwidth]{isolated-1-before.pdf}
|
||||
};
|
||||
}
|
||||
\onslide<2->{
|
||||
\node(after) [right=2cm of before.east]{
|
||||
\includegraphics[width=.4\textwidth]{isolated-1-after.pdf}
|
||||
};
|
||||
}
|
||||
\onslide<2->{
|
||||
\draw[arrow] (before) -- node[anchor=south] {\footnotesize Programa} (after);
|
||||
}
|
||||
\end{tikzpicture}
|
||||
\end{figure}
|
||||
\onslide<3->{
|
||||
\begin{itemize}
|
||||
\item<3-> Iš duomenų ir rezultato sukuriamas testas.
|
||||
\item<4-> Testai patikrina, ar programa veikia teisingai.
|
||||
\item<4-> Išsaugomas tęstinumas ją keičiant.
|
||||
\end{itemize}
|
||||
}
|
||||
\end{frame}
|
||||
|
||||
\section{Įgyvendinimas}
|
||||
|
||||
\begin{frame}{Pasiruošimas}
|
||||
\begin{itemize}
|
||||
\item Pagalbinių funkcijų ir lentelių paruošimas.
|
||||
\item Upių sujungimas.
|
||||
\end{itemize}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Algoritmo etapai}
|
||||
\begin{itemize}
|
||||
\item Linkių aptikimas ir sutvarkymas.
|
||||
\item Linkių keitimo operatoriai: eliminavimas ir didinimas.
|
||||
\item Jungimas neimplementuotas.
|
||||
\end{itemize}
|
||||
\end{frame}
|
||||
|
||||
\section{Rezultatai}
|
||||
|
||||
\begin{frame}{GRPK10 ir {\WM}}
|
||||
\includegraphics[width=\textwidth]{salvis-wm75--grpk10-1x50k}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{GRPK10, GRPK50 ir {\WM}}
|
||||
\includegraphics[width=\textwidth]{salvis-wm75-grpk50-grpk10-1x50k}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{GRPK250 ir {\WM}}
|
||||
\begin{figure}[h!]
|
||||
\centering
|
||||
\begin{subfigure}[b]{.49\textwidth}
|
||||
\includegraphics[width=\textwidth]{salvis-grpk250-2x}
|
||||
\caption{GRPK250.}
|
||||
\end{subfigure}
|
||||
\hfill
|
||||
\begin{subfigure}[b]{.49\textwidth}
|
||||
\centering
|
||||
\includegraphics[width=\textwidth]{salvis-wm220}
|
||||
\caption{{\WM}.}
|
||||
\end{subfigure}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{{\DP}}
|
||||
\includegraphics[width=\textwidth]{salvis-wm75-dp64-grpk10-1x50k}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{{\DP}+Chaikin}
|
||||
\includegraphics[width=\textwidth]{salvis-wm75-dpchaikin64-grpk10-1x50k}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Išbandymas internete}
|
||||
\centering
|
||||
\includegraphics[width=.75\textwidth]{openmap-wm-good.png}
|
||||
\includegraphics[width=.3\textwidth]{openmap-wm-bad.png}
|
||||
|
||||
{\tiny https://dev.openmap.lt/webgl/wm.html}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Faktai}
|
||||
\begin{itemize}
|
||||
\item $>1000$ eilučių procedūrinio SQL.
|
||||
\item $\sim500$ eilučių Python, Awk, GNU Make.
|
||||
\item Susidomėjimas atsirado iš karto (web versija).
|
||||
\end{itemize}
|
||||
\end{frame}
|
||||
|
||||
\section{Išvados ir pasiūlymai ateičiai}
|
||||
|
||||
\begin{frame}{Išvados}
|
||||
\begin{itemize}
|
||||
\item Klasikiniai algoritmai išanalizuoti, problemos aprašytos.
|
||||
\item Aprašytas metodas {\WM} realizacijai.
|
||||
|
||||
\item Realizuotas:
|
||||
\href{https://github.com/motiejus/wm}{github.com/motiejus/wm}.
|
||||
|
||||
\item Šalčia--Visinčia rezultatai palyginti su:
|
||||
\begin{itemize}
|
||||
\item {\VW} (+Chaikin).
|
||||
\item {\DP} (+Chaikin).
|
||||
\item GRPK50.
|
||||
\item GRPK250.
|
||||
\end{itemize}
|
||||
\end{itemize}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Pasiūlymai ateičiai}
|
||||
\begin{itemize}
|
||||
\item Implementuoti kobinavimo operatorių.
|
||||
\item Rasti ir aprašyti geresnius kriterijus izoliuotiems linkiams.
|
||||
\item Pagerinti algoritmo laiko ir atminties sąnaudas.
|
||||
\item Pilnesnė kartografinė generalizacija, įskaitant topologiją.
|
||||
\end{itemize}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Ačiū}
|
||||
\url{https://github.com/motiejus/wm}
|
||||
\end{frame}
|
||||
|
||||
\end{document}
|
||||
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Reference in New Issue