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author | Pascal Schmid <81317360+paschost@users.noreply.github.com> | 2021-05-24 21:17:59 +0200 |
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committer | Pascal Schmid <81317360+paschost@users.noreply.github.com> | 2021-05-24 21:17:59 +0200 |
commit | dab16fe994a13728b9ce9f279c4f90463f3474e7 (patch) | |
tree | 31624324a879c9944c9035b25407bc6ea839763f /buch/chapters/70-graphen/images/gh.tex | |
parent | Merge branch 'part_verkehr' of https://github.com/paschost/SeminarMatrizen in... (diff) | |
parent | Wavelets auf einem Graphen (diff) | |
download | SeminarMatrizen-dab16fe994a13728b9ce9f279c4f90463f3474e7.tar.gz SeminarMatrizen-dab16fe994a13728b9ce9f279c4f90463f3474e7.zip |
Merge branch 'AndreasFMueller:master' into part_verkehr
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-rw-r--r-- | buch/chapters/70-graphen/images/gh.tex | 55 |
1 files changed, 55 insertions, 0 deletions
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} + |