Gaussian ellipsoids using tikz
I'm trying to draw illustrations of Gaussian ellipsoids using shaded ellipses. In simple terms what I'm after is a way to have a light shade throughout the outer edge of the ellipse and a darker shade towards the centre of the ellipse (i.e the contours of a 2D Gaussian distribution should have the same shade proportional to the density). I've tried radial shading but it's not the effect I'm looking for.
Here is a simple example (which does not produce the shading result I want).
\begin{tikzpicture}
\def\particles{(20,-3),(22,-5),(22,-7),(19,-8) }
\pgfsetfillopacity{0.6};
\foreach \point in \particles{
\shade[rotate around={30:\point},inner color=green] \point ellipse (1 and 2);
\draw[fill=black] \point circle (2mm);
}
\end{tikzpicture}
Can anyone please suggest a method to draw the Gaussian ellipsoids?
I'm trying to draw illustrations of Gaussian ellipsoids using shaded ellipses. In simple terms what I'm after is a way to have a light shade throughout the outer edge of the ellipse and a darker shade towards the centre of the ellipse (i.e the contours of a 2D Gaussian distribution should have the same shade proportional to the density). I've tried radial shading but it's not the effect I'm looking for.
Here is a simple example (which does not produce the shading result I want).
\begin{tikzpicture}
\def\particles{(20,-3),(22,-5),(22,-7),(19,-8) }
\pgfsetfillopacity{0.6};
\foreach \point in \particles{
\shade[rotate around={30:\point},inner color=green] \point ellipse (1 and 2);
\draw[fill=black] \point circle (2mm);
}
\end{tikzpicture}
Can anyone please suggest a method to draw the Gaussian ellipsoids?
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