From 09dea6db5671e4c91e8e330de282908716073909 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Motiejus=20Jak=C5=A1tys?= <motiejus@jakstys.lt>
Date: Wed, 19 May 2021 22:57:47 +0300
Subject: [PATCH] explain gentle inflection at the end of the bend

---
 Makefile     |  3 ++-
 layer2img.py |  3 +--
 mj-msc.tex   | 23 +++++++++++++++++++++++
 3 files changed, 26 insertions(+), 3 deletions(-)

diff --git a/Makefile b/Makefile
index bfb6c1e..628a22a 100644
--- a/Makefile
+++ b/Makefile
@@ -5,6 +5,7 @@ SLIDES = slides-2021-03-29.pdf
 
 NON_ARCHIVABLES = notes.txt referatui.txt slides-2021-03-29.txt
 ARCHIVABLES = $(filter-out $(NON_ARCHIVABLES),$(shell git ls-files .))
+FIGURES = fig8-definition-of-a-bend.pdf
 
 .PHONY: test
 test: .faux_test
@@ -31,7 +32,7 @@ clean-tables:
 .PHONY: slides
 slides: $(SLIDES)
 
-mj-msc.pdf: mj-msc.tex test-figures.pdf version.tex bib.bib
+mj-msc.pdf: mj-msc.tex test-figures.pdf version.tex bib.bib $(FIGURES)
 	latexmk -shell-escape -g -pdf $<
 
 mj-msc-full.pdf: mj-msc.pdf version.tex $(ARCHIVABLES)
diff --git a/layer2img.py b/layer2img.py
index 9a7be48..da8908d 100644
--- a/layer2img.py
+++ b/layer2img.py
@@ -76,9 +76,8 @@ def main():
 
     ax.axis('off')
     ax.margins(0, 0)
-    fig.tight_layout(0)
     if args.outfile:
-        fig.savefig(args.outfile, bbox_inches=0, dpi=600)
+        fig.savefig(args.outfile, bbox_inches='tight', dpi=600)
     else:
         plt.show()
 
diff --git a/mj-msc.tex b/mj-msc.tex
index d26083d..720c979 100644
--- a/mj-msc.tex
+++ b/mj-msc.tex
@@ -212,9 +212,32 @@ unexpected bugs have snug in while modifying the algorithm.
 
 \chapter{Description of the implementation}
 
+Like alluded in section~\ref{sec:introduction}, \cite{wang1998line} paper skims
+over certain details, which are important to implement the algorithm. This
+section goes through each algorithm stage, illustrating the intermediate steps
+and explaining the author's desiderata for a detailed description.
+
+Step illustrations of the following sections are extracted from the automated
+test cases.
+
 \section{Definition of a Bend}
 
+\begin{figure}[H]
+    \centering
+    \includegraphics[width=\linewidth]{fig8-definition-of-a-bend}
+    \caption{Originally figure 8: detected bends are highlighted}
+    \label{fig:fig8-definition-of-a-bend}
+\end{figure}
 
+End vertices of all lines should also be part of the bend. That way, all
+vertices belong to 1 or 2 bends. This characteristic is not obvious when
+reading the introductory sections, but becomes unavoidable (there could be no
+other way) when reading the following sections in detail.
+
+Last vertex of each bend (except for the two end-line vertices) is also the
+first vertex of the next bend. This is apparent when looking at the
+illustration of the detected bends. However, the original {\WM} paper did not
+have such an explanation or illustration.
 
 \section{Gentle Inflection at End of a Bend}