第 24 页这次谈话找到这张图片
它应该描绘原子集 e^{i \phi} [ 1, e^{2 pi if}, e^{4 pi if}, ... e^{2 (n - 1) pi if}]^T，其中 phi 在 [0, 2 pi) 中，f 在 [0, 1)。 我怀疑只绘制了向量前三个分量的实部，以表示不同的 phi 值，但事实并非如此。
如果有人能确定到底绘制了什么以及如何实现表面着色，我将不胜感激。
平均能量损失
\documentclass[tikz]{standalone}
\usepackage{pgfplots}
\begin{document}
\begin{tikzpicture}
\begin{axis}[grid = major, view={-30}{30}]
\addplot3[variable=t,samples = 60,domain=0:1]
({cos(2 * pi * deg(t))},{cos(4 * pi * deg(t))}, {cos(6 * pi * deg(t))});
\end{axis}
\end{tikzpicture}
\end{document}
答案1
正如@Symbol 1 所说，该图似乎对应于三个连续元素的实部+凸包。
我在 Matlab 中尝试过，最接近的图对应于[cos(2*pi*f+phi),cos(4*pi*f+phi),cos(6*pi*f+phi)]和phi=pi/2和f in [0,1]
结果如下：
这是由以下 Matlab 代码生成的：
f=0:0.01:1;
phi=pi/2;
xx=cos(2*pi*f+phi);
yy=cos(4*pi*f+phi);
zz=cos(6*pi*f+phi);
[k1] = convhull(xx,yy,zz);
trimesh(k1,xx,yy,zz)
hold on
plot3(cos(2*pi*f+phi),cos(4*pi*f+phi),cos(6*pi*f+phi),'r','linewidth',2)
带有 Jet 色彩图选项。
您可以使用matlab2tikz获取 LaTeX 代码，然后可以使用 pgfplots 包对其进行绘图。以下是我的尝试：
我修改了 Latex 代码：
- 删除了三个元素的图（上图中的红色曲线）
- 不透明度从 1 更改为 0.95。
这是 LaTeX 主文件：
\documentclass[border=0.2cm]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\begin{document}
\input{atomicSet}
\end{document}
以及插图文件，名为atomicSet.tex：
\begin{tikzpicture}
\begin{axis}[%
width=3.743in,
height=2.983in,
scale only axis,
colormap/jet,
xmin=-1,
xmax=1,
ymin=-1,
ymax=1,
zmin=-1,
zmax=1,
view={-37.5}{30},
grid,
]
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