pgfplost:矩阵图中颜色渐变的准确性

pgfplost:矩阵图中颜色渐变的准确性

我想绘制一个矩阵,以pgfplots匹配我的 LaTeX 文档其余部分的样式。所需的输出类似于 Mathematica 中的此图:

在此处输入图片描述

但是当我尝试绘制这些数据时,pgfplots我得到的颜色分辨率要低得多:

在此处输入图片描述

\documentclass[tikz]{standalone}

\usepackage{pgfplots, filecontents}

\usepgfplotslibrary{colormaps}
\pgfplotsset{width=12cm, compat=1.16} \usepgfplotslibrary{external}

\pgfplotsset{compat=newest,
 colormap={blackwhite}{[1pt]
        rgb255(0pt)=(0, 100, 255)
        rgb255(500pt)=(255, 255, 255);
        rgb255(1000pt)=(255, 75, 0);
},}

\begin{filecontents*}{temp.dat}
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30 5 1.44117e-13
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30 7 1.16175e-09
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32 4 2.12247e-16
32 5 6.9501e-14
32 6 9.09844e-12
32 7 5.60258e-10
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35 6 3.72672e-12
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36 5 2.19905e-14
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37 6 2.2589e-12
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38 5 1.37286e-14
38 6 1.79722e-12
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39 5 1.10586e-14
39 6 1.4477e-12
39 7 8.91453e-11
39 8 2.89506e-09
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\end{filecontents*}

\begin{document}
    \begin{tikzpicture}
     \begin{axis}[view={0}{90}, xlabel=$i$, ylabel=$j$, colorbar, 
        y dir = reverse]
        \addplot3[surf] file {temp.dat};
      \end{axis}
    \end{tikzpicture}
\end{document}

我认为问题在于数据集涵盖了多个数量级(从 1 到 1e-20)。是否有可能实现接近 Mathematicas MatrixPlot 的绘图着色?

编辑:

由于设置了从 -10^-8 到 10^-8 的低得多的元值,我至少得到了所需的形式(感谢@Marijn)。

在此处输入图片描述

是否有可能改变色彩图对矩阵分量值变化的敏感度以进一步提高分辨率?

编辑2:

我应该提到,我从功能切换addplot3addplot功能matrix plot,因为表面图存在我不理解的不一致之处。

\begin{tikzpicture}
  \begin{axis}[xlabel=$i$, ylabel=$j$, colorbar, y dir = reverse, enlargelimits=false, axis on top,
    ymin=-0.5, ymax=39.5, xmin=-0.5, xmax=39.5, ]
    \addplot[matrix plot*, point meta min=-1e-8, point meta max=1e-8,
    point meta=explicit] file {temp.dat};
  \end{axis}
\end{tikzpicture}

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