From 8effecb7b07314898260ffb2affc4e526015c7a8 Mon Sep 17 00:00:00 2001
From: Jan Wille <jan.wille@stud.hs-hannover.de>
Date: Mon, 5 Sep 2022 23:30:20 +0200
Subject: [PATCH] linenbildung

---
 Bachelorarbeit.pdf        | Bin 2627482 -> 3070573 bytes
 chap/implementation.tex   | 122 +++++++++++++++++++++++++++++++++++++-
 img/Marks_found-lines.png | Bin 0 -> 3795 bytes
 img/demo_found_A.png      | Bin 0 -> 2944 bytes
 img/demo_found_B.png      | Bin 0 -> 3921 bytes
 img/demo_found_C.png      | Bin 0 -> 4203 bytes
 img/demo_org_A.png        | Bin 0 -> 123149 bytes
 img/demo_org_B.png        | Bin 0 -> 133809 bytes
 img/demo_org_C.png        | Bin 0 -> 132331 bytes
 9 files changed, 119 insertions(+), 3 deletions(-)
 create mode 100644 img/Marks_found-lines.png
 create mode 100644 img/demo_found_A.png
 create mode 100644 img/demo_found_B.png
 create mode 100644 img/demo_found_C.png
 create mode 100644 img/demo_org_A.png
 create mode 100644 img/demo_org_B.png
 create mode 100644 img/demo_org_C.png

diff --git a/Bachelorarbeit.pdf b/Bachelorarbeit.pdf
index e5d0b05962ae5a999d9dda89b4d0b1952039a7f1..e3f956c25688d3e9281dba65d5e7577b923eba8f 100644
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F0ssusK?DE*

diff --git a/chap/implementation.tex b/chap/implementation.tex
index 5830dab..284cbb1 100644
--- a/chap/implementation.tex
+++ b/chap/implementation.tex
@@ -235,7 +235,7 @@
 				\label{fig: classified edges}
 			\end{figure}
 
-			\subsubsection{Genauigkeit der Klassifizierung}
+			\subsubsection{Genauigkeit der Klassifizierung} \label{sub: genauigkeit klassifizierung}
 
 				Die Klassifizierung erfolgt leider nicht immer völlig zuverlässig. Gut klassifizierte Kanten haben für die gesamte Länge der Linie
 				dieselbe Klasse erhalten wie es im vergrößerten Bildausschnitt \autoref{fig: gute kante} zu sehen ist. Im Gegensatz dazu haben
@@ -263,6 +263,93 @@
 
 		\subsection{Linienbildung} \label{sec: linien finden}
 
+			Mit den Informationen über die Kantenklasse kann nun der eigentliche Prozess der Linienerkennung erfolgen. Dieser glieder sich in zwei
+			Schritte, das Zusammenfassen von gleich klassifizierten Kantenpixeln zu durchgängigen Linien und das Zusammenfassen von Linien zu einer
+			Fahrspurmarkierung.
+
+			Für den ersten Schritt ist es ein weiters mal nötig über das gesamte Bild zu iteriert. Auch diesmal können wieder alle schwarzen Pixel
+			übersprungen werden. Wird ein klassifiziertes Pixel gefunden, muss überprüft werden, ob es sich um ein Startpixel handelt. Startpixel sind
+			Pixel, die keine Nachbarn in der ihrer Klasse entsprechenden Ursprungsrichtung haben. Zum Beispiel wäre ein Pixel der \emph{Vertikal}
+			Klasse ein Startpixel, wenn sich direkt oder diagonal über ihm keine weiteren Pixel derselben Klasse befinden.
+
+			Ist ein Startpixel gefunden, wird es für später abgespeichert. Nun wird der Linie zu ihrem Ende gefolgt. Dazu wird der nächste
+			Nachbarpixel gesucht. Da die grobe Richtung entsprechend der Klasse bekannt ist, müssen hier nicht alle Nachbarpixel überprüft werden.
+			Beim Beispiel mit der \emph{Vertikal} Klasse müssten die Pixel direkt und diagonal unterhalb betrachtet werden. Existiert ein Nachbar wird
+			dieser ausgewählt und der Prozess wiederholt. Dabei werden alle bereits besuchten Pixel aus dem Bild gelöscht, damit sich nicht nocheinaml
+			untersucht werden.
+
+			\begin{lstlisting}[
+				float,
+				style=example,
+				caption={Verfolgen einer Linie vom Start- zum Endpunkt},
+				label=code: follow line,
+				language=Python
+			]
+				start = (u, v)
+				relevant_nh *= -1
+
+				while True:
+					pixel_info[u, v] = 0
+					for x, y in relevant_nh:
+						if e == pixel_info[u+x, v+y] & 0x0f:
+							u, v = u+x, v+y
+							break
+					else:  # no more neighbours
+						break
+
+				l = Line(start, (u, v), info)
+				if l.length > 5:
+					lines.append(l)
+			\end{lstlisting}
+
+			Hat ein Pixel keine weiteren Nachbarn, ist er der Endpunkt dieser Linie. Start und Endpunkt werden in ein Linienobjekt zusammengefasst
+			und abgespeichert. Zusätzliche wird ebenfalls die Orientierungsklasse mit abgespeichert.
+
+			Mittels Start- und Endpunkt kann außerdem die Länge der Linie bestimmt werden. Da durch die in \autoref{sub: genauigkeit klassifizierung}
+			beschriebenen Störungen viele kurze Linien gefunden werden, deren Berücksichtigung zu viel Rechenzeit in Anspruch nehmen würde, werden
+			Linien unter einer Minimallänge von 5 Pixeln vernachlässigt.
+
+			Akzeptierte Linien werden ihrer Orientierung entsprechen in einzelnen Listen abgespeichert, sodass am Ende eine Liste für jede
+			Orientierungsklasse entstanden ist.
+
+			\medskip
+			Da ein Linienmarker immer aus einer linken und einer rechten Kante besteht, können wir diese durch Bilden von Linienpaaren gleicher
+			Orientierung, aber unterschiedlichem Vorzeichen, die in geringem Abstand zueinander liegen, identifizieren.
+
+			Dazu werden die Elemente der entsprechenden Listen nacheinander miteinander verglichen, biss ein passendes Paar gefunden wurde. Ein
+			Beispiel ist in	\autoref{code: find pairs} für Linienmarkierungen der Orientierung \emph{Digital 1} gezeigt. Es wird für jeden Kandidaten
+			aus der ersten Liste ein Partner in der zweiten Liste gesucht. Ein solcher ist gefunden, wenn die Start- und Endpunkte beider Linien
+			innerhalb bestimmter Bereiche liegen.
+
+
+			\begin{lstlisting}[
+				float,
+				style=example,
+				caption={Finden von Linienpaaren in Python},
+				label=code: find pairs,
+				language=Python
+			]
+				for a in left_D1_edges:
+					for b in right_D1_edges:
+						if (
+							(a.start[0] - 20) < b.start[0] < (a.start[0] + 20) and
+							a.start[1] < b.start[1] < (a.start[1] + 30) and
+							(a.end[0] - 20) < b.end[0] < (a.end[0] + 20) and
+							a.end[1] < b.end[1] < (a.end[1] + 20)
+						):
+							markings_found.append(LineMarking(a,b, "left"))
+							right_D1_edges.remove(b)
+							break
+			\end{lstlisting}
+
+			Die gefundenen Linienpaare werden zu einem Linienmarker Objekt zusammengefasst. In diesem wird der Umriss bestehend aus den vier
+			Linienpunkten abgespeichert. Außerdem wird der Mittelwert der beiden Start- und Endpunkte gebildet und somit die Mittellinie des
+			Linienmarkers angenähert.
+
+			So gefundene Linienmarker lassen sich wieder im Beispielbild markieren, wodurch sich \autoref{fig: found markings} ergibt. Wie man dort
+			sehen kann, wurden die Linienmarker der eigenen linken und rechten Fahrspurbegrenzung erfolgreich identifiziert. Weitere Markierungen
+			anderer Spuren konnten aufgrund der unzuverlässigen Klassifizierung nicht erkannt werden.
+
 			\begin{figure}
 				\includegraphics[width=.6\textwidth]{img/Marks_found-lines.png}
 				\caption{Umrisse und Mittellinien der gefundenen Fahrspurmarkierungen}
@@ -270,9 +357,38 @@
 			\end{figure}
 
 
-		\subsection{Performance Betrachtung}
+			\subsubsection{Komplexere Szenen}
+
+				Nicht jede Situation, auf die der Roboter treffen kann, führt zu so guten Ergebnissen wie das gezeigte Beispiel. Daher sind in
+				\autoref{fig: vergleich szenen} einige weitere Beispiele und die darin detektireten Markierungen im direkten Vergleich gezeigt.
 
-			sehr schlecht offensichtlich...
+				In \ref{subfig: demo C} sind die Linienbegrenzungen nahe am Fahrzeug durchgezogen und werden erst in größerer Entfernung gestrichelt.
+				Hier war die Erkennung der durchgezogenen Teile sehr gut möglich, jedoch kam es zu einer unpräzisen Identifizierung im oberen Teil der
+				rechten Linie, da sich zwei Liniensegmente unterschiedlicher Linien zu nahe aneinander befanden.
+
+				Bei der Szene \ref{subfig: demo A} handelt es sich um eine Kurve. Dies erschwert die Erkennung deutlich, da eine durchgängige
+				Klassifizierung einer Kante nicht garantiert ist. Daher sind auch nicht alle Spurmarkierungen identifiziert.
+
+				Der letzte Vergleich \ref{subfig: demo B} zeigt eine Szene mit vollständig durchgezogener Linie. Dies ist aus dem Grund schwierig, das
+				die Wahrscheinlichkeit einer Störung durch die hohe Pixelanzahl sehr groß ist. Daher wurde die rechte Kante der Linie auch nicht
+				durchgängig erkannt und der gefunden Marker wirkt verzehrt.
+
+				\begin{figure}
+					\subfigure[lange Linien]{ \label{subfig: demo C}
+						\includegraphics[width=.23\textwidth]{img/demo_org_C.png}
+						\includegraphics[width=.23\textwidth]{img/demo_found_C.png}
+					}
+					\subfigure[leichte Kurve]{ \label{subfig: demo A}
+						\includegraphics[width=.23\textwidth]{img/demo_org_A.png}
+						\includegraphics[width=.23\textwidth]{img/demo_found_A.png}
+					}
+					\subfigure[durchgezogene Linie]{ \label{subfig: demo B}
+						\includegraphics[width=.23\textwidth]{img/demo_org_B.png}
+						\includegraphics[width=.23\textwidth]{img/demo_found_B.png}
+					}
+					\caption{Ergebnisse bei komplexeren Szenen im Vergleich}
+					\label{fig: vergleich szenen}
+				\end{figure}
 
 
 	\section{Implementierung in eine ROS Node}
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diff --git a/img/demo_found_C.png b/img/demo_found_C.png
new file mode 100644
index 0000000000000000000000000000000000000000..444822d7f93fc1354d3a90b30eeeb1aae4c68847
GIT binary patch
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diff --git a/img/demo_org_A.png b/img/demo_org_A.png
new file mode 100644
index 0000000000000000000000000000000000000000..d002ed2cbced7e4e06b6d2dc7339dbb2a92e983b
GIT binary patch
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diff --git a/img/demo_org_B.png b/img/demo_org_B.png
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diff --git a/img/demo_org_C.png b/img/demo_org_C.png
new file mode 100644
index 0000000000000000000000000000000000000000..28b331b2ad4bf1f7a907b045c0f2809cb2815c63
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literal 0
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-- 
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