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\documentclass{article}
\usepackage{tikz}

%% 使用tikz库
\usetikzlibrary{through,hobby}

\begin{document}

\begin{tikzpicture}[use Hobby shortcut]
    \draw[help lines] (0,0) grid (5,5);

    %% 定义坐标点
    \coordinate[label=left:$A_1$] (A1) at (0,0);
    \coordinate[label=left:$A_2$] (A2) at (1,2);
    \coordinate[label=left:$A_3$] (A3) at (2,1);
    \coordinate[label=left:$A_4$] (A4) at (4,3);
    \coordinate[label=left:$A_5$] (A5) at (5,5);

    %% 绘制曲线
    \draw[line width=.8pt] (A1) .. (A2) .. (A3) .. (A4) .. (A5);
\end{tikzpicture}

\end{document}

1

\node at(17,1.5,0) [align=center]{interpolated \\ slice};