From a0866ace119e4351b8a6daae912ddf7363e91fb8 Mon Sep 17 00:00:00 2001
From: Adrian Kummerlaender
Date: Fri, 1 Mar 2019 21:49:33 +0100
Subject: Add restriction figure

---
 content.tex               |  6 ++++++
 img/restriction_base.tikz | 45 +++++++++++++++++++++++++++++++++++++++++++++
 2 files changed, 51 insertions(+)
 create mode 100644 img/restriction_base.tikz

diff --git a/content.tex b/content.tex
index c02ce30..b3b5054 100644
--- a/content.tex
+++ b/content.tex
@@ -480,6 +480,12 @@ Die skalierte Dekomposition \ref{eq:basicF2G} lässt sich in der Schreibweise vo
 Die für unser Verfahren \cite[Kap.~3.3]{Lagrava12} beschriebene Restriktion ist der Mittelwert aller umliegenden gerichteten Nicht-Equilibriumanteilen:
 \[\resarg{i}{x_{f \to g}} := \frac{1}{q} \sum_{j=0}^{q-1} f_{f,i}^\text{neq}(x_{f \to g} + \delta x_f \xi_j) \numberthis\label{eq:neqAvgRestrictionF2G}\]
 
+\begin{figure}[H]
+\centering
+\input{img/restriction_base.tikz}
+\caption{Einzugsgebiet der Restriktionsoperation \(\resarg{7}{x_{f \to g}}\)}
+\end{figure}
+
 \newpage
 \subsubsection{Interpolation}\label{kap:Interpolation}
 
diff --git a/img/restriction_base.tikz b/img/restriction_base.tikz
new file mode 100644
index 0000000..9c2c132
--- /dev/null
+++ b/img/restriction_base.tikz
@@ -0,0 +1,45 @@
+\begin{tikzpicture}[
+	scale=2.0,
+	coarse/.style={circle,draw=black,very thick,inner sep=4},
+	fine/.style={cross out,draw=gray,inner sep=2},
+	usedArrow/.style={very thick,->,>=stealth},
+	availableArrow/.style={draw=gray,->,>=stealth}
+]
+
+\node[fine] at (0,0){ };
+\node[fine] at (1,0){ };
+\node[fine] at (2,0){ };
+
+\node[fine] at (0,1){ };
+\node[fine] at (1,1){ };
+\node[coarse] at (1,1){ };
+\node[fine] at (2,1){ };
+
+\node[fine] at (0,2){ };
+\node[fine] at (1,2){ };
+\node[fine] at (2,2){ };
+
+\foreach \x in {0,...,2}
+	\foreach \y in {0,...,2} {
+		\draw[availableArrow] (\x+0.1,\y) -- (\x+0.3,\y){ };
+		\draw[availableArrow] (\x+0.1,\y-0.1) -- (\x+0.3,\y-0.3){ };
+		\draw[availableArrow] (\x,\y-0.1) -- (\x,\y-0.3){ };
+		\draw[availableArrow] (\x-0.1,\y-0.1) -- (\x-0.3,\y-0.3){ };
+		\draw[availableArrow] (\x-0.1,\y) -- (\x-0.3,\y){ };
+		\draw[availableArrow] (\x-0.1,\y+0.1) -- (\x-0.3,\y+0.3){ };
+		\draw[availableArrow] (\x,\y+0.1) -- (\x,\y+0.3){ };
+	};
+
+\draw[usedArrow] (2.1,2.1) -- (2.3,2.3){ };
+\draw[usedArrow] (2.1,1.1) -- (2.3,1.3){ };
+\draw[usedArrow] (2.1,0.1) -- (2.3,0.3){ };
+
+\draw[usedArrow] (1.1,2.1) -- (1.3,2.3){ };
+\draw[usedArrow] (1.1,1.1) -- (1.3,1.3){ };
+\draw[usedArrow] (1.1,0.1) -- (1.3,0.3){ };
+
+\draw[usedArrow] (0.1,2.1) -- (0.3,2.3){ };
+\draw[usedArrow] (0.1,1.1) -- (0.3,1.3){ };
+\draw[usedArrow] (0.1,0.1) -- (0.3,0.3){ };
+
+\end{tikzpicture}
-- 
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