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Plot a 3D volume in PGFplots using something akin to maximum intensity projection
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I have a function $rho(x, y, z) = e^{-|x|}$, which I'd like to plot. It yields a 3d volume - I've already plotted it in Julia (using Makie.jl), and it looks like this:
I'd like to be able to plot something like this in PGFplots. I've come up with a quite 'hacky' solution, which works, but I would of course prefer something better.
documentclass[tikz]{standalone}
usepackage{pgfplots}
usepgfplotslibrary{colormaps}
pgfplotsset{compat = 1.16}
begin{document}
begin{tikzpicture}
begin{axis}[
colormap/viridis,
colorbar,
xlabel = {$x$},
ylabel = {$y$},
zlabel = {$z$},
title = {$rho = e^{-|x|}$}
]
addplot3 [
scatter,
only marks,
mark = cube*,
opacity = {0.175*pgfplotspointmetatransformed/2000},
% mesh/ordering = x varies,
point meta = {exp(-abs(x))}
] table {data.dat};
end{axis}
end{tikzpicture}
end{document}
where data.dat is simply columns of x, y, and z in a cube.
x y z
-3.0 -3.0 -3.0
-3.0 -3.0 -2.9
[...]
3.0 3.0 3.0
My current visualization looks like this.
Is there any way I can make the PGFplots visualization better?
pgfplots
asked 20 mins ago
Anshul SinghviAnshul Singhvi
112
New contributor
Anshul Singhvi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
I have a function $rho(x, y, z) = e^{-|x|}$, which I'd like to plot. It yields a 3d volume - I've already plotted it in Julia (using Makie.jl), and it looks like this:
I'd like to be able to plot something like this in PGFplots. I've come up with a quite 'hacky' solution, which works, but I would of course prefer something better.
documentclass[tikz]{standalone}
usepackage{pgfplots}
usepgfplotslibrary{colormaps}
pgfplotsset{compat = 1.16}
begin{document}
begin{tikzpicture}
begin{axis}[
colormap/viridis,
colorbar,
xlabel = {$x$},
ylabel = {$y$},
zlabel = {$z$},
title = {$rho = e^{-|x|}$}
]
addplot3 [
scatter,
only marks,
mark = cube*,
opacity = {0.175*pgfplotspointmetatransformed/2000},
% mesh/ordering = x varies,
point meta = {exp(-abs(x))}
] table {data.dat};
end{axis}
end{tikzpicture}
end{document}
where data.dat is simply columns of x, y, and z in a cube.
x y z
-3.0 -3.0 -3.0
-3.0 -3.0 -2.9
[...]
3.0 3.0 3.0
My current visualization looks like this.
Is there any way I can make the PGFplots visualization better?
pgfplots
asked 20 mins ago
Anshul SinghviAnshul Singhvi
112
New contributor
Anshul Singhvi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
I have a function $rho(x, y, z) = e^{-|x|}$, which I'd like to plot. It yields a 3d volume - I've already plotted it in Julia (using Makie.jl), and it looks like this:
I'd like to be able to plot something like this in PGFplots. I've come up with a quite 'hacky' solution, which works, but I would of course prefer something better.
documentclass[tikz]{standalone}
usepackage{pgfplots}
usepgfplotslibrary{colormaps}
pgfplotsset{compat = 1.16}
begin{document}
begin{tikzpicture}
begin{axis}[
colormap/viridis,
colorbar,
xlabel = {$x$},
ylabel = {$y$},
zlabel = {$z$},
title = {$rho = e^{-|x|}$}
]
addplot3 [
scatter,
only marks,
mark = cube*,
opacity = {0.175*pgfplotspointmetatransformed/2000},
% mesh/ordering = x varies,
point meta = {exp(-abs(x))}
] table {data.dat};
end{axis}
end{tikzpicture}
end{document}
where data.dat is simply columns of x, y, and z in a cube.
x y z
-3.0 -3.0 -3.0
-3.0 -3.0 -2.9
[...]
3.0 3.0 3.0
My current visualization looks like this.
Is there any way I can make the PGFplots visualization better?
pgfplots
asked 20 mins ago
Anshul SinghviAnshul Singhvi
112
New contributor
Anshul Singhvi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
I have a function $rho(x, y, z) = e^{-|x|}$, which I'd like to plot. It yields a 3d volume - I've already plotted it in Julia (using Makie.jl), and it looks like this:
I'd like to be able to plot something like this in PGFplots. I've come up with a quite 'hacky' solution, which works, but I would of course prefer something better.
documentclass[tikz]{standalone}
usepackage{pgfplots}
usepgfplotslibrary{colormaps}
pgfplotsset{compat = 1.16}
begin{document}
begin{tikzpicture}
begin{axis}[
colormap/viridis,
colorbar,
xlabel = {$x$},
ylabel = {$y$},
zlabel = {$z$},
title = {$rho = e^{-|x|}$}
]
addplot3 [
scatter,
only marks,
mark = cube*,
opacity = {0.175*pgfplotspointmetatransformed/2000},
% mesh/ordering = x varies,
point meta = {exp(-abs(x))}
] table {data.dat};
end{axis}
end{tikzpicture}
end{document}
where data.dat is simply columns of x, y, and z in a cube.
x y z
-3.0 -3.0 -3.0
-3.0 -3.0 -2.9
[...]
3.0 3.0 3.0
My current visualization looks like this.
Is there any way I can make the PGFplots visualization better?
pgfplots
pgfplots
asked 20 mins ago
Anshul SinghviAnshul Singhvi
112
New contributor
Anshul Singhvi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 20 mins ago
Anshul SinghviAnshul Singhvi
112
New contributor
Anshul Singhvi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 20 mins ago
Anshul SinghviAnshul Singhvi
112
New contributor
Anshul Singhvi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 20 mins ago
Anshul SinghviAnshul Singhvi
112
asked 20 mins ago
Anshul SinghviAnshul Singhvi
112
112
New contributor
Anshul Singhvi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Anshul Singhvi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Anshul Singhvi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
add a comment |
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