在我的问题中，所有曲线都是根据数据绘制的，而不是显式函数。我想要做的是用不同的颜色填充那些小的弯曲矩形。我该怎么做？
这是生成该图形的文本。
\begin{filecontents*}{curvpts_1_u.txt}
X Y
-2.700000 -0.700000
-2.561250 -0.729000
-2.425000 -0.756000
-2.291250 -0.781000
-2.160000 -0.804000
-2.031250 -0.825000
-1.905000 -0.844000
-1.781250 -0.861000
-1.660000 -0.876000
-1.541250 -0.889000
-1.425000 -0.900000
-1.311250 -0.909000
-1.200000 -0.916000
-1.091250 -0.921000
-0.985000 -0.924000
-0.881250 -0.925000
-0.780000 -0.924000
-0.681250 -0.921000
-0.585000 -0.916000
-0.491250 -0.909000
-0.400000 -0.900000
\end{filecontents*}
\begin{filecontents*}{curvpts_1_v.txt}
X Y
-2.700000 -0.700000
-2.650750 -0.639000
-2.603000 -0.576000
-2.556750 -0.511000
-2.512000 -0.444000
-2.468750 -0.375000
-2.427000 -0.304000
-2.386750 -0.231000
-2.348000 -0.156000
-2.310750 -0.079000
-2.275000 -0.000000
-2.240750 0.081000
-2.208000 0.164000
-2.176750 0.249000
-2.147000 0.336000
-2.118750 0.425000
-2.092000 0.516000
-2.066750 0.609000
-2.043000 0.704000
-2.020750 0.801000
-2.000000 0.900000
\end{filecontents*}
\begin{filecontents*}{curvpts_2_u.txt}
X Y
-2.400000 -0.255556
-2.283500 -0.288972
-2.167333 -0.320333
-2.051500 -0.349639
-1.936000 -0.376889
-1.820833 -0.402083
-1.706000 -0.425222
-1.591500 -0.446306
-1.477333 -0.465333
-1.363500 -0.482306
-1.250000 -0.497222
-1.136833 -0.510083
-1.024000 -0.520889
-0.911500 -0.529639
-0.799333 -0.536333
-0.687500 -0.540972
-0.576000 -0.543556
-0.464833 -0.544083
-0.354000 -0.542556
-0.243500 -0.538972
-0.133333 -0.533333
\end{filecontents*}
\begin{filecontents*}{curvpts_2_v.txt}
X Y
-1.822222 -0.855556
-1.794278 -0.798972
-1.766000 -0.740333
-1.737389 -0.679639
-1.708444 -0.616889
-1.679167 -0.552083
-1.649556 -0.485222
-1.619611 -0.416306
-1.589333 -0.345333
-1.558722 -0.272306
-1.527778 -0.197222
-1.496500 -0.120083
-1.464889 -0.040889
-1.432944 0.040361
-1.400667 0.123667
-1.368056 0.209028
-1.335111 0.296444
-1.301833 0.385917
-1.268222 0.477444
-1.234278 0.571028
-1.200000 0.666667
\end{filecontents*}
\begin{filecontents*}{curvpts_3_u.txt}
X Y
-2.166667 0.277778
-2.053583 0.243778
-1.941000 0.210667
-1.828917 0.178444
-1.717333 0.147111
-1.606250 0.116667
-1.495667 0.087111
-1.385583 0.058444
-1.276000 0.030667
-1.166917 0.003778
-1.058333 -0.022222
-0.950250 -0.047333
-0.842667 -0.071556
-0.735583 -0.094889
-0.629000 -0.117333
-0.522917 -0.138889
-0.417333 -0.159556
-0.312250 -0.179333
-0.207667 -0.198222
-0.103583 -0.216222
-0.000000 -0.233333
\end{filecontents*}
\begin{filecontents*}{curvpts_3_v.txt}
X Y
-1.055556 -0.922222
-1.027861 -0.866222
-1.000333 -0.809333
-0.972972 -0.751556
-0.945778 -0.692889
-0.918750 -0.633333
-0.891889 -0.572889
-0.865194 -0.511556
-0.838667 -0.449333
-0.812306 -0.386222
-0.786111 -0.322222
-0.760083 -0.257333
-0.734222 -0.191556
-0.708528 -0.124889
-0.683000 -0.057333
-0.657639 0.011111
-0.632444 0.080444
-0.607417 0.150667
-0.582556 0.221778
-0.557861 0.293778
-0.533333 0.366667
\end{filecontents*}
\begin{filecontents*}{curvpts_4_u.txt}
X Y
-2.000000 0.900000
-1.871500 0.869250
-1.746000 0.837000
-1.623500 0.803250
-1.504000 0.768000
-1.387500 0.731250
-1.274000 0.693000
-1.163500 0.653250
-1.056000 0.612000
-0.951500 0.569250
-0.850000 0.525000
-0.751500 0.479250
-0.656000 0.432000
-0.563500 0.383250
-0.474000 0.333000
-0.387500 0.281250
-0.304000 0.228000
-0.223500 0.173250
-0.146000 0.117000
-0.071500 0.059250
0.000000 0.000000
\end{filecontents*}
\begin{filecontents*}{curvpts_4_v.txt}
X Y
-0.400000 -0.900000
-0.351500 -0.840750
-0.306000 -0.783000
-0.263500 -0.726750
-0.224000 -0.672000
-0.187500 -0.618750
-0.154000 -0.567000
-0.123500 -0.516750
-0.096000 -0.468000
-0.071500 -0.420750
-0.050000 -0.375000
-0.031500 -0.330750
-0.016000 -0.288000
-0.003500 -0.246750
0.006000 -0.207000
0.012500 -0.168750
0.016000 -0.132000
0.016500 -0.096750
0.014000 -0.063000
0.008500 -0.030750
0.000000 0.000000
\end{filecontents*}
\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{plotmarks}
\usepackage{pgfplots}
\usepackage{pgfplotstable}
\usepackage{filecontents}
\pgfplotsset{compat=newest}
\begin{document}
\begin{tikzpicture}[scale = 5]
\begin{axis}[hide axis, axis equal, view={0}{90}]
\foreach \f in {1,2,...,4}{\addplot[mark=none, color = blue,thick, smooth, line cap=round] table [] {curvpts_\f_u.txt};}
\foreach \f in {1,2,...,4}{\addplot[mark=none, color = blue, thick, smooth, line cap=round] table [] {curvpts_\f_v.txt};}
\end{axis}
\end{tikzpicture}
\end{document}
答案1
我给你举个例子，让你可以填充任意的“矩形”。策略是给路径命名，然后将不同的交叉部分组合成新的路径，最终可以填充。
\begin{filecontents*}{curvpts_1_u.txt}
X Y
-2.700000 -0.700000
-2.561250 -0.729000
-2.425000 -0.756000
-2.291250 -0.781000
-2.160000 -0.804000
-2.031250 -0.825000
-1.905000 -0.844000
-1.781250 -0.861000
-1.660000 -0.876000
-1.541250 -0.889000
-1.425000 -0.900000
-1.311250 -0.909000
-1.200000 -0.916000
-1.091250 -0.921000
-0.985000 -0.924000
-0.881250 -0.925000
-0.780000 -0.924000
-0.681250 -0.921000
-0.585000 -0.916000
-0.491250 -0.909000
-0.400000 -0.900000
\end{filecontents*}
\begin{filecontents*}{curvpts_1_v.txt}
X Y
-2.700000 -0.700000
-2.650750 -0.639000
-2.603000 -0.576000
-2.556750 -0.511000
-2.512000 -0.444000
-2.468750 -0.375000
-2.427000 -0.304000
-2.386750 -0.231000
-2.348000 -0.156000
-2.310750 -0.079000
-2.275000 -0.000000
-2.240750 0.081000
-2.208000 0.164000
-2.176750 0.249000
-2.147000 0.336000
-2.118750 0.425000
-2.092000 0.516000
-2.066750 0.609000
-2.043000 0.704000
-2.020750 0.801000
-2.000000 0.900000
\end{filecontents*}
\begin{filecontents*}{curvpts_2_u.txt}
X Y
-2.400000 -0.255556
-2.283500 -0.288972
-2.167333 -0.320333
-2.051500 -0.349639
-1.936000 -0.376889
-1.820833 -0.402083
-1.706000 -0.425222
-1.591500 -0.446306
-1.477333 -0.465333
-1.363500 -0.482306
-1.250000 -0.497222
-1.136833 -0.510083
-1.024000 -0.520889
-0.911500 -0.529639
-0.799333 -0.536333
-0.687500 -0.540972
-0.576000 -0.543556
-0.464833 -0.544083
-0.354000 -0.542556
-0.243500 -0.538972
-0.133333 -0.533333
\end{filecontents*}
\begin{filecontents*}{curvpts_2_v.txt}
X Y
-1.822222 -0.855556
-1.794278 -0.798972
-1.766000 -0.740333
-1.737389 -0.679639
-1.708444 -0.616889
-1.679167 -0.552083
-1.649556 -0.485222
-1.619611 -0.416306
-1.589333 -0.345333
-1.558722 -0.272306
-1.527778 -0.197222
-1.496500 -0.120083
-1.464889 -0.040889
-1.432944 0.040361
-1.400667 0.123667
-1.368056 0.209028
-1.335111 0.296444
-1.301833 0.385917
-1.268222 0.477444
-1.234278 0.571028
-1.200000 0.666667
\end{filecontents*}
\begin{filecontents*}{curvpts_3_u.txt}
X Y
-2.166667 0.277778
-2.053583 0.243778
-1.941000 0.210667
-1.828917 0.178444
-1.717333 0.147111
-1.606250 0.116667
-1.495667 0.087111
-1.385583 0.058444
-1.276000 0.030667
-1.166917 0.003778
-1.058333 -0.022222
-0.950250 -0.047333
-0.842667 -0.071556
-0.735583 -0.094889
-0.629000 -0.117333
-0.522917 -0.138889
-0.417333 -0.159556
-0.312250 -0.179333
-0.207667 -0.198222
-0.103583 -0.216222
-0.000000 -0.233333
\end{filecontents*}
\begin{filecontents*}{curvpts_3_v.txt}
X Y
-1.055556 -0.922222
-1.027861 -0.866222
-1.000333 -0.809333
-0.972972 -0.751556
-0.945778 -0.692889
-0.918750 -0.633333
-0.891889 -0.572889
-0.865194 -0.511556
-0.838667 -0.449333
-0.812306 -0.386222
-0.786111 -0.322222
-0.760083 -0.257333
-0.734222 -0.191556
-0.708528 -0.124889
-0.683000 -0.057333
-0.657639 0.011111
-0.632444 0.080444
-0.607417 0.150667
-0.582556 0.221778
-0.557861 0.293778
-0.533333 0.366667
\end{filecontents*}
\begin{filecontents*}{curvpts_4_u.txt}
X Y
-2.000000 0.900000
-1.871500 0.869250
-1.746000 0.837000
-1.623500 0.803250
-1.504000 0.768000
-1.387500 0.731250
-1.274000 0.693000
-1.163500 0.653250
-1.056000 0.612000
-0.951500 0.569250
-0.850000 0.525000
-0.751500 0.479250
-0.656000 0.432000
-0.563500 0.383250
-0.474000 0.333000
-0.387500 0.281250
-0.304000 0.228000
-0.223500 0.173250
-0.146000 0.117000
-0.071500 0.059250
0.000000 0.000000
\end{filecontents*}
\begin{filecontents*}{curvpts_4_v.txt}
X Y
-0.400000 -0.900000
-0.351500 -0.840750
-0.306000 -0.783000
-0.263500 -0.726750
-0.224000 -0.672000
-0.187500 -0.618750
-0.154000 -0.567000
-0.123500 -0.516750
-0.096000 -0.468000
-0.071500 -0.420750
-0.050000 -0.375000
-0.031500 -0.330750
-0.016000 -0.288000
-0.003500 -0.246750
0.006000 -0.207000
0.012500 -0.168750
0.016000 -0.132000
0.016500 -0.096750
0.014000 -0.063000
0.008500 -0.030750
0.000000 0.000000
\end{filecontents*}
\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{plotmarks}
\usepackage{pgfplots}
\usepackage{pgfplotstable}
\usepackage{filecontents}
\pgfplotsset{compat=1.16}
\usepgfplotslibrary{fillbetween} %<- added
\begin{document}
\begin{tikzpicture}[scale = 5]
\begin{axis}[hide axis, axis equal, view={0}{90}]
\pgfplotsinvokeforeach{1,2,...,4}{
\addplot[name path=horizontal#1,mark=none, color = blue,thick, smooth, line cap=round]
table [] {curvpts_#1_u.txt};
\addplot[name path=vertical#1,mark=none, color = blue, thick, smooth, line cap=round]
table [] {curvpts_#1_v.txt};
}
\path [%draw,line width=3,purple,
name path=1and1,
intersection segments={
of=horizontal1 and vertical1,
sequence={B1[reverse]-- A1}
}];
\path [%draw,line width=3,red,
name path=2and2left,
intersection segments={
of=horizontal2 and vertical2,
sequence={B0-- A0[reverse]}
}];
\path [%draw,line width=3,purple,
name path=1and1left,
intersection segments={
of=1and1 and 2and2left,
sequence={A1}
}];
\addplot [orange] fill between [of=1and1left and 2and2left];
\end{axis}
\end{tikzpicture}
\end{document}
如果您计划填充大部分线段，最好定义一些在图中“蜿蜒”的线段，然后使用 pgfplots 手册第 434 页上解释的拆分语法。