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修复 Pgfplots 中的重叠图

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修复 Pgfplots 中的重叠图

我尝试在同一张图上绘制 x^2+y^2−z^2=1 和 x−2z=0，并成功绘制了它们；但是，结果看起来很糟糕，重叠性很差。我该如何修复重叠，使结果pgfplots看起来更像 Apple Grapher 的结果？ Pgf 图苹果绘图师

    \begin{tikzpicture}
    \begin{axis}[
    axis lines=center,
    xlabel=$x$,
    ylabel=$y$,
    xmin=-3.5,
    xmax=3.5,
    ymax=3,
    ymin=-2.5
    ]
    \addplot3[mesh,domain=-3.5:3.5] {sqrt(x^2+y^2-1)};
    \addplot3[mesh,domain=-3.5:3.5] {-sqrt(x^2+y^2-1)};
    \addplot3[mesh,domain=-3.5:3.5] {x/2};  
    \end{axis}
    \end{tikzpicture}

答案1

PGFPlots 在这方面会遇到真正的麻烦，但这里有一个使用 Asymptote 的解决方案：

平面和双曲面

请注意，这需要smoothcontour3模块，该模块太新，在 TeXLive 2015 中不可用。如果你尝试运行它并且它抱怨模块缺失，请下载平滑轮廓3.asy并将该文件放在与您要编译的文件asy相同的文件夹/目录中。tex

% file: foo.tex
% to compile: pdflatex --shell-escape foo
%
% For MikTeX users: Asymptote requires a separate program that cannot be installed
% by the package manager. You can get the installation file from
% https://sourceforge.net/projects/asymptote/files/2.35/
% (specifically, the file ending in setup.exe).

\documentclass{standalone}
\usepackage{asypictureB}

\begin{document}

\begin{asypicture}{name=PlaneAndHyperboloid}

settings.outformat = "png";
settings.render = 8;
import graph3;
import smoothcontour3;
import palette;
size(15cm);
currentprojection = perspective(5*(-5,-5,1.5));

real f(real x, real y, real z) { return x^2 + y^2 - z^2 - 1; }
real g(pair xy) { return xy.x / 2; }

real xmin = -3.5, ymin = -2.5, zmin = -2.5;
real xmax = 3.5, ymax = 2.5, zmax = 2.5;

surface hyperboloid = 
    implicitsurface(f, (xmin,ymin,zmin), (xmax,ymax,zmax), overlapedges=true);
hyperboloid.colors(palette(hyperboloid.map(zpart),Rainbow()));
draw(hyperboloid, light=nolight);

surface plane = surface(g, (xmin, ymin), (xmax,ymax));
draw(plane, light=nolight, surfacepen=gray+opacity(0.5));

xaxis3(Label("$x$",align=X), arrow=Arrow3, ticks=InOutTicks(Step=1), above=true);
yaxis3(Label("$y$",align=Y), arrow=Arrow3, ticks=InOutTicks(Step=1), above=true);
zaxis3(Label("$z$",align=Z), arrow=Arrow3, ticks=InOutTicks(Step=1), above=true);

\end{asypicture}

\end{document}

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