我正在尝试绘制 Ti 中的某个区域钾Z 使用从 Mathematica 导出的数据RegionPlot。但 Ti钾Z\filldraw命令给出了奇怪的输出。生成的 Ti 的问题钾Z 图片的问题是它没有生成平滑的区域并且由于某种原因有黑线遮挡图像。
从 Mathematica 导出的过程中可能出了问题。因此，我将包含用于生成图表的 Mathematica 代码并将其导出到文件中.txt。
乳胶
\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{calc,through,backgrounds}
\usepackage{pgfplots}
\usepackage{amsfonts}
\usepgfplotslibrary{fillbetween}
\pgfplotsset{compat=1.8}
\begin{document}
\begin{tikzpicture}[scale=2]
\filldraw[color=black, fill=blue!50, opacity = 1] plot coordinates {
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(-0.5993009237577911, 0.1256167630929707) (-0.48046869942434234, 0.21731083238833082)};
\end{tikzpicture}
\end{document}
Mathematica 代码
\[Mu] = {1, 2, 3, 4, 5, 6};
plot = RegionPlot[
Product[Abs[1 + \[Mu] (x + I y)]^1, {\[Mu], 1, 6}] < 1,
{x, -1, 1}, {y, -1, 1},
PlotRange -> Automatic,
GridLines -> Automatic,
AspectRatio -> Automatic]
Export[NotebookDirectory[] <> "dice.txt", plot]
这是我想要重现的 Mathematica 图：
这里有一个关联以防dice.txt您没有数学。
我还尝试在 MATLAB 中绘制这些点的散点图，得到了以下结果：
所以，显然我并不是只处理边界上的坐标。
答案1
首先是严重的问题。坐标相当混乱。对于以下示例，我有：
- 对点进行排序，
- 删除内部点，并添加一个相同的点X协调，
- 手动删除剩余的内部点，
- 添加
closed hobby以获得更平滑的曲线。
完整示例文件：
\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.12}
\usepackage[active, tightpage]{preview}
\PreviewEnvironment[{[]}]{tikzpicture}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
xmin=-.66,
xmax=.02,
ymin=-.27,
ymax=.27,
grid,
]
\addplot[
closed hobby,
thick,
blue,
fill=blue,
fill opacity=.25,
] coordinates {
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(-0.6206825004544669, -0.09436676638244482)
(-0.6138979616949447, -0.10526314681440464)
%(-0.6052630941828256, -0.07894736011080353)
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%(-0.07894736011080353, 0.13157893351800534)
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%(-0.13157893351800576, 0.18421050692520755)
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%(-0.18421050692520796, 0.23684208033240975)
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%(-0.2368420803324102, 0.23684208033240975)
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%(-0.39473680055401683, 0.23684208033240975)
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%(-0.49999994736842124, 0.18421050692520755)
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%(-0.5526315207756234, 0.13157893351800534)
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%(-0.6052630941828256, 0.07894736011080311)
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(-0.6464329089281079, 0.014854028041680886)
(-0.6467926950744461, 0)
};
\end{axis}
\end{tikzpicture}
\end{document}
啊，现在创造的机会艺术！
第一个例子应用了平滑处理并调整了张力。同时，比例因子也随着张力的增加而减小，以保持图像形状大致相等：
\documentclass{article}
\usepackage{tikz}
\usepackage[active, tightpage]{preview}
\PreviewEnvironment[{[]}]{tikzpicture}
\begin{document}
\newcommand*{\img}{%
\begin{tikzpicture}
\def\w{1}
\def\h{.52}
\useasboundingbox (-1.3*\w, -\h) rectangle (1.05*\w, \h);
\tikzset{scale=\scale}
\filldraw[line width=.03pt, color=black, fill=blue!50]
plot[smooth, tension=\tension] coordinates {
% coordinates from the question
};
\end{tikzpicture}%
}
\foreach \i in {0, .1, ..., 5.9} {
\pgfmathsetmacro\tension{exp(\i)-1}%
\pgfmathsetmacro\scale{2/(\tension/4.1 + 1)}%
\img
}
\end{document}
不改变比例因子的第二个艺术示例：
\documentclass{article}
\usepackage{tikz}
\usepackage[active, tightpage]{preview}
\PreviewEnvironment[{[]}]{tikzpicture}
\begin{document}
\newcommand*{\img}[1]{%
\begin{tikzpicture}[scale=1]
\def\w{10}
\def\h{10}
\useasboundingbox (-\w, -\h) rectangle (\w, \h);
\filldraw[line width=.03pt, color=black, fill=blue!50, overlay]
plot[smooth, tension=#1] coordinates {
% coordinates from the question
};
\end{tikzpicture}%
}
\foreach \i in {0, .1, ..., 5.9} {
\pgfmathsetmacro\tension{exp(\i)-1}%
\img\tension
}
\end{document}
第三个示例是具有排序坐标的图像：
\documentclass{article}
\usepackage{tikz}
\usepackage[active, tightpage]{preview}
\PreviewEnvironment[{[]}]{tikzpicture}
\begin{document}
\begin{tikzpicture}
\draw[line width=.1pt, scale=4]
plot coordinates {
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};
\end{tikzpicture}
\end{document}
