我正在尝试在 TikZ 和 pgfplots 中复制 Rosenbrock 函数的以下版本：https://commons.wikimedia.org/wiki/File:Rosenbrock_function.svg
这是我的 MWE：
\documentclass{standalone}
\usepackage{pgfplots}
\begin{document}
\begin{tikzpicture}
\begin{axis}[samples=50,grid=both,domain=-2:2,y domain=-1:3,xmin=-2,xmax=2,ymin=-1,ymax=3,
zmin=0,zmax=2500,tick label style={font=\tiny},xtick={-2,-1.5,...,2},ytick={-1,-0.5,...,3},
ztick={0,500,...,2500},view={145}{40},xlabel={$x$},ylabel={$y$},x dir=reverse,y dir=reverse,
colormap/hot2,point meta min=0, point meta max=10]
\addplot3[surf] {(1-x)^2+100*(y-x^2)^2};
\end{axis}
\end{tikzpicture}
\end{document}
到目前为止，我无法获得相同的高对比度图像。作者最初在 Matlab 中使用了一种数学技巧来增强感兴趣区域（接近全局最优值）的对比度，而我无法使用 TikZ/pgfplots 复制。
有任何想法吗？
答案1
您可以使用：
colormap/jet获得与 Matlab 相同的颜色图，point meta=ln(z+1)z在这个色彩图中使用对数插值。draw=white,line width=.1pt用细白线绘制网格。
结果：
代码：
\documentclass{standalone}
\usepackage{pgfplots}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
samples=70,
grid=both,
domain=-2:2, xmin=-2,xmax=2,
y domain=-1:3, ymin=-1,ymax=3,
zmin=0,zmax=2500,
tick label style={font=\tiny},
xtick={-2,-1.5,...,2},
ytick={-1,-0.5,...,3},
ztick={0,500,...,2500},
view={145}{40},
xlabel={$x$}, ylabel={$y$},
x dir=reverse, y dir=reverse,
colormap/jet, point meta=ln(z+1),
]
\addplot3[surf,shader=flat,draw=white,line width=.1pt] {(1-x)^2+100*(y-x^2)^2};
\end{axis}
\end{tikzpicture}
\end{document}
编辑
根据评论的要求，具有颜色图的相同表面viridis：
colormap的定义viridis：
\pgfplotsset{colormap={viridis}{
rgb=(0.26700401,0.00487433,0.32941519)
rgb=(0.26851048,0.00960483,0.33542652)
rgb=(0.26994384,0.01462494,0.34137895)
rgb=(0.27130489,0.01994186,0.34726862)
rgb=(0.27259384,0.02556309,0.35309303)
rgb=(0.27380934,0.03149748,0.35885256)
rgb=(0.27495242,0.03775181,0.36454323)
rgb=(0.27602238,0.04416723,0.37016418)
rgb=(0.2770184,0.05034437,0.37571452)
rgb=(0.27794143,0.05632444,0.38119074)
rgb=(0.27879067,0.06214536,0.38659204)
rgb=(0.2795655,0.06783587,0.39191723)
rgb=(0.28026658,0.07341724,0.39716349)
rgb=(0.28089358,0.07890703,0.40232944)
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rgb=(0.28192358,0.08966622,0.41241521)
rgb=(0.28232739,0.09495545,0.41733086)
rgb=(0.28265633,0.10019576,0.42216032)
rgb=(0.28291049,0.10539345,0.42690202)
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}}