Gnuplot 以不同颜色覆盖透明 3D 表面和平面

Question

我想生成一个与此类似的图形

在 gnuplot 中。所以表面上有一条线穿过稍微透明的平面。这些点不是很重要。对于我的工作流程，我使用的是 gnuplottex。到目前为止，我在这里：

这是我的代码

\documentclass{standalone}

\newif\ifwindows
\IfFileExists{/dev/null}{\windowsfalse}{\windowstrue}
\ifwindows
\usepackage[miktex,cleanup]{gnuplottex}
\else
\usepackage[]{gnuplottex}
\fi

\begin{document}
%\begin{gnuplot}[terminal=pslatex, terminaloptions={auxfile color dashed rounded dl 1. lw 1. size 12cm, 9cm}]
\begin{gnuplot}[terminal=cairolatex, terminaloptions={pdf color dashed rounded dl 1. lw 1. size 12cm, 9cm}]
    set grid front
    set format x '%g'
    set format y '%g'
    set xr [0. : 5.]
    set yr [0. : 5.]

    f(x, y) = \
    .5 * log(1. + 4. * x * (sqrt(y) + sqrt(1. + y))**2) / log(2.)
    xopt(x) = \
    (x * (1. + x)) / (1. + 2. * x)
    yopt(x) = \
    x**2 / (1. + 2. * x)

    set isosamples 75
    set samples 80
    set contour base
    set cntrparam levels incremental .5, .5
    set cntrparam levels 12
    set cntrlabel onecolor
    set style line 1 lc rgb "#000000"
    set style increment userstyle
    set style fill transparent solid 0.6
    set pm3d at s scansforward implicit nohidden3d

    set parametric
    set ur [0. : 5.]
    set vr [0. : 5.]

    splot \
    u, v, f(u, v) t '' w pm3d, \
    '++' u (xopt( * 1.85)):(yopt( * 1.85)):(f(xopt( * 1.85), yopt( * 1.85))) t '' w l lc 1, \
    u, 1. - u, v t '' w surface
  \end{gnuplot}
\end{document}

我已经为 ps 和 pdf 输出尝试了 pslatex 和 cairolatex 终端。问题是我想从平面上移除网格并以单调（或至少不同）的颜色着色。可以通过 nosurface 删除网格，但我仍然会留下所有颜色的飞机。 PS：我知道 ps 的透明度不太好，但在这个例子中，带有 pslatex 终端的表面实际上工作得很好。

Answer 1

使用多图成功了：

\documentclass{standalone}

\newif\ifwindows
\IfFileExists{/dev/null}{\windowsfalse}{\windowstrue}
\ifwindows
\usepackage[miktex,cleanup]{gnuplottex}
\else
\usepackage[]{gnuplottex}
\fi

\begin{document}
%\begin{gnuplot}[terminal=pslatex, terminaloptions={auxfile color dashed rounded dl 1. lw 1. size 12cm, 9cm}]
\begin{gnuplot}[terminal=cairolatex, terminaloptions={pdf color dashed rounded dl 1. lw 1. size 12cm, 9cm}]
    set format x '%g'
    set format y '%g'
    set grid front

    f(x, y) = \
    .5 * log(1. + 4. * x * (sqrt(y) + sqrt(1. + y))**2) / log(2.)
    xopt(x) = \
    (x * (1. + x)) / (1. + 2. * x)
    yopt(x) = \
    x**2 / (1. + 2. * x)

    set isosamples 75
    set samples 80
    set contour base
    set cntrparam levels incremental .5, .5
    set cntrparam levels 12
    set cntrlabel onecolor
    set style line 1 lc rgb "#000000"
    set style increment userstyle
    set style fill transparent solid 0.6
    set pm3d at s scansforward implicit nohidden3d

    set xr [0. : 5.]
    set yr [0. : 5.]
    set parametric
    set ur [0. : 5.]
    set vr [0. : 5.]

    set multiplot

    splot u, v, f(u, v) t '' w pm3d

    unset tics
    unset border
    unset xlabel
    unset ylabel
    unset zlabel
    unset colorbox

    set palette defined ( 0 "black", 1 "black" )
    set style fill transparent solid 0.3

    set label 1 ' ' center at first xopt(1.), yopt(1.), f(xopt(1.), yopt(1.)) point pt 7 ps .5
    set label 2 ' ' center at first xopt(3.), yopt(3.), f(xopt(3.), yopt(3.)) point pt 7 ps .5
    set label 3 ' ' center at first xopt(5.), yopt(5.), f(xopt(5.), yopt(5.)) point pt 7 ps .5
    set label 4 ' ' center at first xopt(7.), yopt(7.), f(xopt(7.), yopt(7.)) point pt 7 ps .5

    splot \
    '++' u (xopt( * 1.8)):(yopt( * 1.8)):(f(xopt( * 1.8), yopt( * 1.8))) t '' w l lc 1, \
    for [i = 1:8:2] u, i - u, v t '' w surface nosurface

    unset multiplot
  \end{gnuplot}
\end{document}

Gnuplot 以不同颜色覆盖透明 3D 表面和平面

Gnuplot overlay transparent 3D surface and plane in different colour

3d

gnuplot

transparency

latex-environment