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Animierte Graphenfärbung

tag-icon • tag-icon tikz-pgf animate
Animierte Graphenfärbung

Ich versuche, die Ergebnisse meiner Abschlussarbeit mithilfe einer Animation zu demonstrieren. Ich habe für mein Vorhaben ein MWE erstellt. Im Wesentlichen habe ich eine Reihe von Eckpunkten, deren Füllfarbe durch abgetastete RGB-Werte für jeden Zeitpunkt gegeben ist, die ich in einer CSV-Tabelle aufgezeichnet habe. Ich möchte die Farbentwicklung der Eckpunkte des Graphen im Laufe der Zeit mithilfe einer Animation zeigen. Ich bin mir jedoch nicht ganz sicher, wie ich das am besten anstellen soll. Deshalb würde ich gerne Ihre Meinungen/Vorschläge zu diesem Thema hören. Der folgende Code generiert einen Graphen mit drei Eckpunkten.

\documentclass{standalone}
\usepackage{tikz,calc}

\begin{document}
   \begin{tikzpicture}[align=center,node distance=5cm]
     \tikzset{
     vertex/.style={draw,circle, line width=3pt,minimum size=1cm,text width=1cm, align=center, font=\Large},
     arc/.style={draw, line width = 3pt,-}}
     % outer shell
     \node[vertex] (V1) at (0,0) {1};
     \node[vertex] (V2) [below right of = V1] {2};
     \node[vertex] (V3) [above of = V2] {3};

     % adjacency
     \draw[arc] (V1) -- (V2);
     \draw[arc] (V3) -- (V2);
     \draw[arc] (V3) -- (V1);
   \end{tikzpicture}
\end{document}

Des Weiteren habe ich eine CSV-Tabelle mit folgenden Einträgen:

r1,g1,b1,r2,g2,b2,r3,g3,b3
0.8147,0.1576,0.6557,0.7060,0.4387,0.2760,0.7513,0.8407,0.3517
0.9058,0.9706,0.0357,0.0318,0.3816,0.6797,0.2551,0.2543,0.8308
0.1270,0.9572,0.8491,0.2769,0.7655,0.6551,0.5060,0.8143,0.5853
0.9134,0.4854,0.9340,0.0462,0.7952,0.1626,0.6991,0.2435,0.5497
0.6324,0.8003,0.6787,0.0971,0.1869,0.1190,0.8909,0.9293,0.9172
0.0975,0.1419,0.7577,0.8235,0.4898,0.4984,0.9593,0.3500,0.2858
0.2785,0.4218,0.7431,0.6948,0.4456,0.9597,0.5472,0.1966,0.7572
0.5469,0.9157,0.3922,0.3171,0.6463,0.3404,0.1386,0.2511,0.7537
0.9575,0.7922,0.6555,0.9502,0.7094,0.5853,0.1493,0.6160,0.3804
0.9649,0.9595,0.1712,0.0344,0.7547,0.2238,0.2575,0.4733,0.5678

r1,g1,b1 sind die RGB-Werte von Knoten 1 und so weiter.

Vielen Dank für all die Hilfe!

Bearbeiten: Ich würde wenn möglich gerne die RGB-Fülloption verwenden:

\node[...,fill={rgb:red,4;green,2;blue,1}]

Antwort1

Diese Lösung liest Zeilen mit Farben mittels LaTeX3-Funktionen aus einer Datei. Außerdem verwendet sie den neuen Befehl zum vorzeitigen \multiframebreakAbbrechen einer Schleife. ( [ ])\multiframeanimate2020/08/29

\documentclass{standalone}

\usepackage[T1]{fontenc}
\usepackage{tikz,calc,animate}

\begin{filecontents}[overwrite,noheader]{vertexcolours.dat}
r1,g1,b1,r2,g2,b2,r3,g3,b3
0.8147,0.1576,0.6557,0.7060,0.4387,0.2760,0.7513,0.8407,0.3517
0.9058,0.9706,0.0357,0.0318,0.3816,0.6797,0.2551,0.2543,0.8308
0.1270,0.9572,0.8491,0.2769,0.7655,0.6551,0.5060,0.8143,0.5853
0.9134,0.4854,0.9340,0.0462,0.7952,0.1626,0.6991,0.2435,0.5497
0.6324,0.8003,0.6787,0.0971,0.1869,0.1190,0.8909,0.9293,0.9172
0.0975,0.1419,0.7577,0.8235,0.4898,0.4984,0.9593,0.3500,0.2858
0.2785,0.4218,0.7431,0.6948,0.4456,0.9597,0.5472,0.1966,0.7572
0.5469,0.9157,0.3922,0.3171,0.6463,0.3404,0.1386,0.2511,0.7537
0.9575,0.7922,0.6555,0.9502,0.7094,0.5853,0.1493,0.6160,0.3804
0.9649,0.9595,0.1712,0.0344,0.7547,0.2238,0.2575,0.4733,0.5678
\end{filecontents}

\usepackage{expl3}
\ExplSyntaxOn

\ior_new:N \l_colours_stream % file descriptor
\seq_new:N \g_colours_seq    % sequence var taking colours at a given time

\ior_open:Nn \l_colours_stream {vertexcolours.dat} % open file for reading
\ior_str_get:NN \l_colours_stream \l_tempa_tl % read table header and throw away

\cs_new:Npn\readColours{
  \seq_gclear:N \g_colours_seq
  \ior_str_get:NNT \l_colours_stream \l_tempa_tl{
    \seq_gset_split:NnV \g_colours_seq {,} \l_tempa_tl
  }
}

\cs_new:Npn\getColourByIndex#1{
  \seq_item:Nn \g_colours_seq {#1}
}

\ExplSyntaxOff

%\makeatletter
%\def\multiframebreak{\global\@anim@mulframecnt=1000}
%\makeatother

\begin{document}

\begin{animateinline}[controls,autoplay,loop]{1}
  \readColours%
  \multiframe{100}{}{
    \begin{tikzpicture}[align=center,node distance=5cm]
      \tikzset{
      vertex/.style={draw,fill=temp,circle, line width=3pt,minimum size=1cm,text width=1cm, align=center, font=\Large},
      arc/.style={draw, line width = 3pt,-}}
      % outer shell
      \definecolor{temp}{rgb}{\getColourByIndex{1},\getColourByIndex{2},\getColourByIndex{3}}
      \node[vertex] (V1) at (0,0) {1};
      \definecolor{temp}{rgb}{\getColourByIndex{4},\getColourByIndex{5},\getColourByIndex{6}}
      \node[vertex] (V2) [below right of = V1] {2};
      \definecolor{temp}{rgb}{\getColourByIndex{7},\getColourByIndex{8},\getColourByIndex{9}}
      \node[vertex] (V3) [above of = V2] {3};

      % adjacency
      \draw[arc] (V1) -- (V2);
      \draw[arc] (V3) -- (V2);
      \draw[arc] (V3) -- (V1);
    \end{tikzpicture}%
    \readColours%
    \ifthenelse{\equal{\getColourByIndex{1}}{}}{%
      \multiframebreak%    % no more colours -> break
    }{}%
  }  
\end{animateinline}
\end{document}

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