plot a quantity, which is a function of three euler angles

2014 1 18
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Hi All,
I want to plot a quantity (p) which is a function of three Euler angles, i,e p=f(alpha,beta,gamma). I want to plot 'p' on a unit sphere where alpha, beta and gamma angles are correctly describable. Can anyone help me which function in matlab is more appropriate for that.
I am eagerly waiting for your reply.
Thanks in advance Sudipta

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Mischa Kim
Mischa Kim 2014-1-18
Hello Sudipta, what exactly is p? Can you provide more detailed information on what you want to do?
Sudipta Sinha
Sudipta Sinha 2014-1-18
Thank you very much for your reply.
p is the probability which is a function of three euler angles. Basically, I have four dimensional data file, i want to visualize those data in a convenient way. the 4d data are alpha, beta, gamma, probability. I think, visualize these data on sphere is most convenient for this case.
Mischa Kim
Mischa Kim 2014-1-18
编辑：Mischa Kim 2014-1-18
So essentially you would like to project a 4D space onto a 2D surface? I could imagine projecting a 3D space (sort of like "longitude", "latitude", probability (coloring of sphere)) onto the unit sphere, but I am not quite sure how you would incorporate a third angle. Could you provide some insight?
Sudipta Sinha
Sudipta Sinha 2014-1-18
it would be kind of scatter plot on a sphere. for a given value of alpha,beta and gamma, there will be a probability which can be described by color scale on the sphere. Is it not possible?
Mischa Kim
Mischa Kim 2014-1-18
Right. But the unit sphere is a 2D space (say, alpha and beta). How do you incorporate a third angle (gamma)?
Sudipta Sinha
Sudipta Sinha 2014-1-18
if i don't consider unit sphere then is it possible?
I was thinking by this way. all possible values of alpha,beta and gamma values always within a sphere. if it is true then my argument is right.
Sudipta Sinha
Sudipta Sinha 2014-1-18
is there any better way to visualize that data? if you have please let me know

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Mischa Kim
Mischa Kim 2014-1-18

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How about a volumetric slice plot? x, y, z would be presented by the angles, the probability through coloring.

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Sudipta Sinha
Sudipta Sinha 2014-1-18
Can you please elaborate it? and can provide the small script or commands for that.
i never came across that one. may be it will work.

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