填充由三维图中给定点映射的自定义平面

Question

对于我的多目标问题，我已经获得了有效前沿，我想使用 latex 中的 3D 图直观地显示它。由于这些点没有矩阵结构，因此我得到的是线图而不是曲面图。以下是 MWE：

\documentclass[a4paper, 12pt]{article}
\usepackage{pgfplots}
\begin{document}
\begin{figure}
  \centering
  \begin{tikzpicture}
    \begin{axis}{unbounded coords=jump, view={70}{40}, colormap/viridis, scale only axis, scaled ticks=false}
      \addplot3[surf]
coordinates{
(9715658,5237.548,1662.979)
(8905129.8213686,5248.96044843318,1863.6983325056)
(8061017,5509.97,1858.004)
(7917754.57021608,5816.5781775536,2267.9700413312)
(7868445.94326526,6104.8328939749,2472.8959922048)
(8149171,6132.452,2808.096)
(9375859,7471.631,3732.035)
(12183200,7869.911,3911.075)
(9715658,5237.548,1662.979)
};
\end{axis}
\end{tikzpicture}
\caption{3D plot}\label{fig1}
\end{figure}
\end{document} 

它生成以下图表：

Answer 1

始终设置兼容级别 - 参见代码。您遇到的问题与此处相同：pgfplots 表格中的曲面图

- 您的数据格式错误（只有一行）

插入空白行会触发surf将其视为表面，尽管这可能不是您想要的：

\documentclass[tikz, border=1cm]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.18}
\begin{document}
  \begin{tikzpicture}
    \begin{axis}{unbounded coords=jump, view={70}{40}, colormap/viridis, scale only axis, scaled ticks=false}
      \addplot3[surf]
coordinates{
(9715658,5237.548,1662.979)

(8905129.8213686,5248.96044843318,1863.6983325056)
(8061017,5509.97,1858.004)
(7917754.57021608,5816.5781775536,2267.9700413312)
(7868445.94326526,6104.8328939749,2472.8959922048)
(8149171,6132.452,2808.096)
(9375859,7471.631,3732.035)
(12183200,7869.911,3911.075)
(9715658,5237.548,1662.979)
};
\end{axis}
\end{tikzpicture}
\end{document} 

---

编辑：

需要明确的是决不知道你想用格式错误的数据做什么。这些点不共面，它们自己也不构成表面。话虽如此，人们可以猜到你想要一个跨度表面，也许并不关心它是如何形成的！？。有很多方法可以做到这一点 - 这里有一个带有插值点的示例：

\documentclass[tikz, border=1cm]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.18}
\begin{document}
  \begin{tikzpicture}
    \begin{axis}{unbounded coords=jump, view={70}{40}, colormap/viridis, scale only axis, scaled ticks=false}

\addplot3[surf, mark=*]
coordinates{
(9715658,5237.548,1662.979)
(8905129.8213686,5248.96044843318,1863.6983325056)
(8061017,5509.97,1858.004)
(7917754.57021608,5816.5781775536,2267.9700413312)
(7868445.94326526,6104.8328939749,2472.8959922048)
(8149171,6132.452,2808.096)
(9375859,7471.631,3732.035)
(12183200,7869.911,3911.075)

(9715658,5237.548,1662.979)
(10000000,5540.93,1922.03)
(10200000,5754.29,2104.24)
(10500000,6074.33,2377.56)
(11000000,6607.73,2833.1)
(11500000,7141.13,3288.63)
(12000000,7674.53,3744.16)
(12183200,7869.911,3911.075)
};

\end{axis}
\end{tikzpicture}
\end{document}