三维参数图和顶视图的问题

Question

我正在绘制参数函数并获取它们的不同视图。问题在于顶视图，特别是当函数在 z 方向上变化时，透视不正确。代码示例和图像

\documentclass[varwidth ,border=1pt]{standalone}
\usepackage[dvipsnames,svgnames,x11names,]{xcolor}
\usepackage{tikz,pgfplots,tikz-3dplot}
%\pgfplotsset{compat=1.12}
%\pgfplotsset{,compat=1.17}
%\pgfplotsset{compat=newest}

\begin{document}
%   
\begin{tikzpicture} 
    \begin{axis}[
        view={-45}{45},
        xlabel=$x$,
        ylabel=$y$,
        zlabel=$z$,
        ]
        \addplot3 [surf] {x};
    \end{axis}
\end{tikzpicture}
%
\begin{tikzpicture} 
    \begin{axis}[
    view={0}{90},
    xlabel=$x$,
    ylabel=$y$,
    ]
    \addplot3 [surf] {x+y};
\end{axis}
\end{tikzpicture}
%
\begin{tikzpicture} 
    \begin{axis}[view={60}{30}]
        \addplot3[
        domain=0:5*pi,
        samples=201,
        samples y=1, ](
        {sin(deg(x))},
        {cos(deg(x))},
        {2*x/(5*pi)}
        );
    \end{axis}
\end{tikzpicture}
%
\begin{tikzpicture} \begin{axis}[view={0}{90}]
        \addplot3[
        domain=0:5*pi,
        samples=201,
        samples y=1, ](
        {sin(deg(x))},
        {cos(deg(x))},
        {2*x/(5*pi)}
        );
    \end{axis}
\end{tikzpicture}
%
\begin{tikzpicture} [trig format=rad ]
    \begin{axis}[view={60}{-40}]]
        \addplot3 [surf, variable=t,
        domain=0:5*pi,
        samples=501,
        samples y=1](
        {0.5*t*cos(10*t)},
        {0.5*t*sin(10*t)},
        {pi-1*t}
        );
    \end{axis}
\end{tikzpicture}
%
\begin{tikzpicture} [trig format=rad ]
    \begin{axis}[view={0}{90}]
        \addplot3 [surf, variable=t,
        domain=0:5*pi,
        samples=501,
        samples y=1](
        {0.5*t*cos(10*t)},
        {0.5*t*sin(10*t)},
        {pi-0.5*t}
        );
    \end{axis}
\end{tikzpicture}
%
\end{document}

最后一个视图不正确有什么建议吗？谢谢。

Answer 1

主要问题是您使用了trig format=rad。pgfplots使用三角函数来安装视图，然后您“搞砸了它们”（这并不是故意冒犯）。这就是为什么pgfplots有一个选项trig format plots=rad。其他影响部分是因为您更改了函数，例如{x}转到{x+y}。

\documentclass[varwidth ,border=1pt]{standalone}
\usepackage[dvipsnames,svgnames,x11names,]{xcolor}
\usepackage{tikz,pgfplots,tikz-3dplot}
%\pgfplotsset{compat=1.12}
\pgfplotsset{compat=1.17}
%\pgfplotsset{compat=newest}

\begin{document}
%   
\begin{tikzpicture} 
    \begin{axis}[
        view={-45}{45},
        xlabel=$x$,
        ylabel=$y$,
        zlabel=$z$,
        ]
        \addplot3 [surf] {x};
    \end{axis}
\end{tikzpicture}
%
\begin{tikzpicture} 
    \begin{axis}[
    view={0}{90},
    xlabel=$x$,
    ylabel=$y$,
    ]
    \addplot3 [surf] {x+y};
\end{axis}
\end{tikzpicture}
%
\begin{tikzpicture} 
    \begin{axis}[view={60}{30}]
        \addplot3[
        domain=0:5*pi,
        samples=201,
        samples y=1, ](
        {sin(deg(x))},
        {cos(deg(x))},
        {2*x/(5*pi)}
        );
    \end{axis}
\end{tikzpicture}
%
\begin{tikzpicture} 
\begin{axis}[view={0}{90}]
        \addplot3[
        domain=0:5*pi,
        samples=201,
        samples y=1, ](
        {sin(deg(x))},
        {cos(deg(x))},
        {2*x/(5*pi)}
        );
    \end{axis}
\end{tikzpicture}
%
\begin{tikzpicture}% [trig format=rad ]
    \begin{axis}[view={60}{-40},trig format plots=rad]
        \addplot3 [surf, variable=t,
        domain=0:5*pi,
        samples=501,
        samples y=1](
        {0.5*t*cos(10*t)},
        {0.5*t*sin(10*t)},
        {pi-1*t}
        );
    \end{axis}
\end{tikzpicture}
%
\begin{tikzpicture}%[trig format=rad]
    \begin{axis}[view={0}{90},trig format plots=rad]
        \addplot3 [mesh, variable=t,
        domain=0:5*pi,
        samples=501,
        samples y=0, 
        mesh/ordering=y varies,
        %z buffer=sort
        ](
        {0.5*t*cos(10*t)},
        {0.5*t*sin(10*t)},
        {pi-0.5*t}
        );
    \end{axis}
\end{tikzpicture}
%
\end{document}