gnuplot:在球体表面上绘制函数 [英] gnuplot: Plotting a function on the surface of a sphere
问题描述
我有一个函数,例如 f(theta,phi)= sqrt(1-(sin(theta)* sin(phi))** 2)+ 5 * sqrt(1-(sin(theta)我想将* cos(phi))** 2)
绘制为球面上的颜色图.但是,如果不先在表中生成具有适当值的文件,就无法弄清楚如何将此函数提供给 splot
来实现此目的.
如何获取 gnuplot
来做到这一点?
您可以使用特殊文件名"++"代替生成文件,请参见帮助特殊文件
.我认为
请仔细检查球坐标的定义是否匹配.
I have a function, say f(theta, phi) = sqrt(1 - (sin(theta)*sin(phi))**2) + 5 * sqrt(1 - (sin(theta)*cos(phi))**2)
that I want to plot as a color plot on the surface of a sphere. However, I can't figure out how I have to feed this function into splot
in order to achieve this without first generating a file with the appropriate values in a table.
How can I get gnuplot
to do this?
Instead of generating a file, you can use the special filename "++", see help special
. I think the last example on the gnuplot demo page has your use case. Simplified with minor modifications:
xx(u, v) = cos(v) * cos(u)
yy(u, v) = cos(v) * sin(u)
zz(u, v) = sin(v)
f(theta, phi) = sqrt(1 - (sin(theta)*sin(phi))**2) + 5 * sqrt(1 - (sin(theta)*cos(phi))**2)
set parametric
set isosamples 121, 61
set samples 121, 61
set urange [-pi:pi]
set vrange [-pi/2:pi/2]
set border 4095
set view equal xyz
set xyplane 0
splot "++" using (xx($1,$2)):(yy($1,$2)):(zz($1,$2)):(f($1,$2)) with pm3d notitle
This is the result:
Please double check whether the definitions of the spherical coordinates match.
这篇关于gnuplot:在球体表面上绘制函数的文章就介绍到这了,希望我们推荐的答案对大家有所帮助,也希望大家多多支持IT屋!