Interpolación de curvas

Interpolación de curvas

Intento interpolar estas curvas y lo que obtengo no es muy bonito: ingrese la descripción de la imagen aquí

Lo que probé:

\documentclass[french,25pt,a4paper,landscape]{article}
\usepackage{etex}

\usepackage{tikz}
\usepackage[T1]{fontenc}
\usepackage{xcolor}



\begin{document}
    \begin{center}
        \definecolor{qqwuqq}{rgb}{0,0.39215686274509803,0}
            \definecolor{uuuuuu}{rgb}{0.26666666666666666,0.26666666666666666,0.26666666666666666}
            \definecolor{qqqqff}{rgb}{0,0,1}
            \begin{tikzpicture}[line cap=round,line join=round,>=stealth,x=1cm,y=1cm]
            \coordinate[label=below:$O$] (A) at (0,0);
            \coordinate[label=below left:] (B) at (0,4);
            \coordinate[label=below left:$t$] (C) at (4,0);
            
            \coordinate[label=above right:] (D) at (0.54,1.04);
            \coordinate[label=above right:] (E) at (1.38,1.58);
            \coordinate[label=above right:] (F) at (1.9,1.667);
            \coordinate[label=above right:] (G) at (2.76,1.767);
            \coordinate[label=above right:] (H) at (4.36,1.8);

            \coordinate[label=above right:] (I) at (0.3,3.82);
            \coordinate[label=above right:] (J) at (0.5,3.5);
            \coordinate[label=above right:] (K) at (0.7,2.94);
            \coordinate[label=above right:] (L) at (0.84,2.44);
            \coordinate[label=above right:] (M) at (1,2);
            \coordinate[label=above right:] (N) at (1.24,1.36);
            \coordinate[label=above right:] (O) at (1.86,0.86);
            \coordinate[label=above right:] (P) at (2.44,0.54);
            \coordinate[label=above right:] (Q) at (2.86,0.22);
            \coordinate[label=above right:] (R) at (3.42,0.18);

            \coordinate[label=above right:] (S) at (0.84,0.38);
            \coordinate[label=above right:] (T) at (1.61,1.04);
            \coordinate[label=above right:] (U) at (1.92,1.68);
            \coordinate[label=above right:] (V) at (2.52,3.04);
            \coordinate[label=above right:] (W) at (2.84,4.32);
            

            
            \draw [->,line width=0.8pt] (A) -- (B) node[midway, below left] {};
            \draw [->,line width=0.8pt] (A) -- (C) node[midway, above] {};

            \draw [red] plot [smooth, tension=0.6] coordinates { (A) (D) (E) (F) (G) (H)};
            \draw [blue, dashed] plot [smooth, tension=0.6] coordinates { (I) (J) (K) (L) (M) (N) (O) (P) (Q) (R)};

            \draw [green] plot [smooth, tension=0.6] coordinates { (A) (S) (T) (U) (V) (W)};
            
            \fill (A) circle (2pt);
            \fill (B) circle (0pt);
            \fill (C) circle (0pt);
            \end{tikzpicture}
    \end{center}
\end{document}

El resultado :

ingrese la descripción de la imagen aquí

¿Cómo puedo suavizar estas curvas para que parezcan más reales? Y también me gustaría agregar los números encerrados en un círculo.

Respuesta1

He aquí una manera de hacerlo. Llaves:

  • eliminando código innecesario de su ejemplo
  • reemplazando --porto[out=,in=]
  • poniendo un punto intermedio para la curva azul
  • poner etiquetas al final de cada curva con algunas variantes para cambiarla

También puedes utilizar controls, otro enfoque mediante curvas de Bézier. Encuentro efectos tomás fáciles de visualizar.

Sugiero dibujar sus gráficos en archivos separados usando class standaloneE incluyendo dichos pdf a través del paquete graphicx. Ver aquí paraun ejemplo, mientras que sugerí hacerlovarias veces (encontrar más).

resultado

%\documentclass[french,25pt,a4paper,landscape]{article}
%\usepackage{etex}
%
%\usepackage{tikz}
%\usepackage[T1]{fontenc}
%\usepackage{xcolor}

\documentclass[10pt,border=3mm,tikz]{standalone}

\begin{document}
%    \begin{center}

% ~~~ you don't use them here ... ~~~~~~~~~~~~~~~~~~~~~
%        \definecolor{qqwuqq}{rgb}{0,0.39215686274509803,0}
%        \definecolor{uuuuuu}{rgb}{0.26666666666666666,0.26666666666666666,0.26666666666666666}
%        \definecolor{qqqqff}{rgb}{0,0,1}
        
        
 \begin{tikzpicture}[
    line cap=round,
    line join=round,
    >=stealth,
    lbl/.style={draw,circle},
%   x=1cm,y=1cm
    ]
            \coordinate[label=below:$O$] (A) at (0,0);
            \coordinate[label=below left:] (B) at (0,4);
            \coordinate[label=below left:$t$] (C) at (4,0);
%            
%            \coordinate[label=above right:] (D) at (0.54,1.04);
%            \coordinate[label=above right:] (E) at (1.38,1.58);
%            \coordinate[label=above right:] (F) at (1.9,1.667);
%            \coordinate[label=above right:] (G) at (2.76,1.767);
            \coordinate[label=above right:] (H) at (4.36,1.8);
%
            \coordinate[label=above right:] (I) at (0.3,3.82);
%            \coordinate[label=above right:] (J) at (0.5,3.5);
%            \coordinate[label=above right:] (K) at (0.7,2.94);
%            \coordinate[label=above right:] (L) at (0.84,2.44);
%            \coordinate[label=above right:] (M) at (1,2);
%            \coordinate[label=above right:] (N) at (1.24,1.36);
%            \coordinate[label=above right:] (O) at (1.86,0.86);
%            \coordinate[label=above right:] (P) at (2.44,0.54);
%            \coordinate[label=above right:] (Q) at (2.86,0.22);
            \coordinate[label=above right:] (R) at (3.42,0.18);
%
%            \coordinate[label=above right:] (S) at (0.84,0.38);
%            \coordinate[label=above right:] (T) at (1.61,1.04);
%            \coordinate[label=above right:] (U) at (1.92,1.68);
%            \coordinate[label=above right:] (V) at (2.52,3.04);
            \coordinate[label=above right:] (W) at (2.84,4.32);
            

    % ~~~ y- and x-axis ~~~~~~~~~~~~~~~~~~~~~~~~~
    \draw [->,line width=0.8pt] (A) -- (B) node[midway, below left] {?};
    \draw [->,line width=0.8pt] (A) -- (C) node[midway, above] {??};

    % ~~~ curves ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    %\draw[red] (A) -- (H); % start like this
    \draw[red]      (A) to[out=60,in=182] (H) node[lbl,yshift=4mm] {3}; % refined
    \draw[teal!80]  (A) to[out=20,in=250] (W) node[lbl,shift=(200:7mm)] {1};
    \draw[blue,dashed]
                    (I) to[out=-35,in=110] +(.7,-1.6) 
                        to[out=290,in=180] (R) node[lbl,shift=(120:7mm)] {2};
    
    %\draw [red] plot [smooth, tension=0.6] coordinates { (A) (D) (E) (F) (G) (H)};
    %\draw [blue, dashed] plot [smooth, tension=0.6] coordinates { (I) (J) (K) (L) (M) (N) (O) (P) (Q) (R)};

    %\draw [green] plot [smooth, tension=0.6] coordinates { (A) (S) (T) (U) (V) (W)};
            
    \fill (A) circle (2pt);
    \fill (B) circle (0pt);
    \fill (C) circle (0pt);
 \end{tikzpicture}
%    \end{center}
\end{document}

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