From 7e4a7b847c63064a40fd7a4d3829eddb4191aa9e Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@othello.ch>
Date: Mon, 24 May 2021 20:36:06 +0200
Subject: Wavelets auf einem Graphen

---
 buch/chapters/70-graphen/images/Makefile |   5 ++-
 buch/chapters/70-graphen/images/gh.pdf   | Bin 0 -> 26177 bytes
 buch/chapters/70-graphen/images/gh.tex   |  55 +++++++++++++++++++++++++++++++
 3 files changed, 59 insertions(+), 1 deletion(-)
 create mode 100644 buch/chapters/70-graphen/images/gh.pdf
 create mode 100644 buch/chapters/70-graphen/images/gh.tex

(limited to 'buch/chapters/70-graphen/images')

diff --git a/buch/chapters/70-graphen/images/Makefile b/buch/chapters/70-graphen/images/Makefile
index d34247b..5db54c8 100644
--- a/buch/chapters/70-graphen/images/Makefile
+++ b/buch/chapters/70-graphen/images/Makefile
@@ -4,7 +4,7 @@
 # (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
 #
 all:	peterson.pdf adjazenzu.pdf adjazenzd.pdf kreis.pdf fundamental.pdf \
-	petersonchrind.pdf nine.pdf
+	petersonchrind.pdf nine.pdf gh.pdf
 
 peterson.pdf:	peterson.tex
 	pdflatex peterson.tex
@@ -26,3 +26,6 @@ fundamental.pdf:	fundamental.tex
 nine.pdf:	nine.tex
 	pdflatex nine.tex
 
+gh.pdf:	gh.tex
+	pdflatex gh.tex
+
diff --git a/buch/chapters/70-graphen/images/gh.pdf b/buch/chapters/70-graphen/images/gh.pdf
new file mode 100644
index 0000000..c6e48d7
Binary files /dev/null and b/buch/chapters/70-graphen/images/gh.pdf differ
diff --git a/buch/chapters/70-graphen/images/gh.tex b/buch/chapters/70-graphen/images/gh.tex
new file mode 100644
index 0000000..fcceb5f
--- /dev/null
+++ b/buch/chapters/70-graphen/images/gh.tex
@@ -0,0 +1,55 @@
+%
+% gh.tex -- Lokalsierungsfunktionen für Wavelets auf einem Graphen
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math}
+\begin{document}
+\def\skala{1}
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+\definecolor{darkgreen}{rgb}{0,0.6,0}
+
+\def\kurve#1#2{
+	\draw[color=#2,line width=1.4pt]
+		plot[domain=0:6.3,samples=400]
+			({\x},{7*\x*exp(-(\x/#1)*(\x/#1))/#1});
+}
+
+\begin{scope}
+
+\draw[->] (-0.1,0) -- (6.6,0) coordinate[label={$\lambda$}];
+
+\kurve{1}{red}
+\foreach \k in {0,...,4}{
+	\pgfmathparse{0.30*exp(ln(2)*\k)}
+	\xdef\l{\pgfmathresult}
+	\kurve{\l}{blue}
+}
+
+\node[color=red] at ({0.7*1},3) [above] {$g(\lambda)$};
+\node[color=blue] at ({0.7*0.3*16},3) [above] {$g_i(\lambda)$};
+
+\draw[->] (0,-0.1) -- (0,3.3);
+\end{scope}
+
+\begin{scope}[xshift=7cm]
+
+\draw[->] (-0.1,0) -- (6.6,0) coordinate[label={$\lambda$}];
+
+\draw[color=darkgreen,line width=1.4pt]
+	plot[domain=0:6.3,samples=100] 
+		({\x},{3*exp(-(\x/0.5)*(\x/0.5)});
+
+\draw[->] (0,-0.1) -- (0,3.3) coordinate[label={right:$\color{darkgreen}h(\lambda)$}];
+
+\end{scope}
+
+\end{tikzpicture}
+\end{document}
+
-- 
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