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填充两个“\draw”线之间的区域

tag-icon • tag-icon tikz-pgf
填充两个“\draw”线之间的区域

我正在尝试做一些看似简单的事情，但 Latex 一直在抱怨。我想画两条线（不是函数，只是使用 \draw 命令）并填充它们之间的区域。有人能给我一个简单的答案吗？谢谢。这是我想到的一个例子......

\begin{tikzpicture}
\draw[name path = A] (2,2) circle (3cm);
\draw[name path = B] (0.3,-0.5)..controls(2.55,2)..(0.3,4.5);
\draw[name path = C] (3.7,-0.5)..controls(1.5,2)..(3.7,4.5);
\draw (2,5)--(2,-1);
\fillbetween[of=A and B];
\draw[fill] (2,2) circle [radius=0.1];
\end{tikzpicture}

答案1

您也可以使用交叉段，尽管这需要pgfplots包和fillbetween库。

需要图层才能使填充显示在线下方。

输出

图1

代码

\documentclass[margin=10pt]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}

\pgfdeclarelayer{bg}
\pgfsetlayers{bg,main}
\begin{document}
\begin{tikzpicture}
\draw[clip, name path = A] (2,2) circle (3cm);
\draw[name path = B] (0.3,-0.5)..controls(2.55,2)..(0.3,4.5);
\draw[name path = C] (3.7,-0.5)..controls(1.5,2)..(3.7,4.5);
\draw (2,5)--(2,-1);
%\fillbetween[of=A and B];
%\draw[fill] (2,2) circle [radius=0.1];
\begin{pgfonlayer}{bg}
\fill [orange!50,
          intersection segments={
            of=A and B,
            sequence={L2--R2}
          }];
\end{pgfonlayer}
\end{tikzpicture}
\end{document}

答案2

通过裁剪，可以避免计算交点和圆弧，限制填充区域和圆内的线条，也有助于去除超出曲线的部分。

\documentclass{article}
\usepackage{tikz}

\begin{document}
\begin{tikzpicture}
  \begin{scope}
    \clip (2,2) circle (3cm);
    \draw[fill=green]
      (current bounding box.south west) --
      (0.3,-0.5)..controls(2.55,2)..(0.3,4.5)
      -- (current bounding box.north west) -- cycle;
    \draw[] (3.7,-0.5)..controls(1.5,2)..(3.7,4.5); 
    \draw (2,5)--(2,-1);
    \draw[fill] (2,2) circle [radius=0.1];
  \end{scope}
  \draw (2,2) circle (3cm);
\end{tikzpicture}
\end{document}

结果

答案3

裁剪和填充绘制：

在此处输入图片描述

代码：

\documentclass{article}
\usepackage{pgfplots}
\usetikzlibrary{intersections}

\begin{document}

\begin{tikzpicture}
\draw[name path = A] (2,2) circle (3cm);
\path[name path = B] (0.3,-0.5)..controls(2.55,2)..(0.3,4.5);
\path[name path = C] (3.7,-0.5)..controls(1.5,2)..(3.7,4.5);

\draw (2,5)--(2,-1);
\path[name intersections={of=A and B,by={a,b}}];
\path[name intersections={of=A and C,by={c,d}}];
\begin{scope}
\clip (a) rectangle ([xshift=-2cm]b);
\filldraw[fill=green]
  (2,2) circle (3cm);
\end{scope}
\begin{scope}
\clip (a) rectangle ([xshift=2cm]b);
\filldraw[fill=green] 
  (0.3,-0.5)..controls(2.55,2)..(0.3,4.5);
\end{scope}
\begin{scope}
\clip (c) rectangle ([xshift=-2cm]d);
\draw 
  (3.7,-0.5)..controls(1.5,2)..(3.7,4.5);
\end{scope}
\draw[fill] (2,2) circle [radius=0.1];
\end{tikzpicture}

\end{document}

最初，不绘制曲线路径，\path而是用于寻找曲线与圆的交点；然后使用这些点与裁剪一起执行操作（绘制、填充）。

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