How to create a symmetric 2D distribution from a novel distribution

Hi

I have a distribution, lets call it f, represented as a vector. Essentially I would like to turn this into a point spread function to deconvolute some images. For this i need a symmetric 2D distribution of this distribution from above. How do I effectively accomplish this? I share my function bellow, it that is of any help.

Thanks in advance

load('f.mat');
figure()
plot(f)

[John D'Errico]

What does it mean (in terms of mathematics) to get a uniform 2-d distribution, from something that is distinctly not uniform? I'm sorry, but you are asking to do something that makes no mathematical sense. It might be a question of knowing the right language, whatever. But it means you need to explain far more clearly what you want to do.

Answer 1

[the cyclist]

I agree with @John D'Errico that we need more description. Do you just mean that you want to replicate f across another dimension? Like this?

load('f.mat','f')
f2 = repmat(f,1,10);

surf(f2)

[John D'Errico]

I'm wondering if MAYBE the question is to take the 1-d profile, and rotating it around the vertical axis, turn it into a 2-d point spread function. But I have no idea where "uniformity" comes into the question.

[Sebastian Daneli]

@John D'Errico, yes, that's what I meant. Symmetry is what I was thinking about, not uniformity.

[Torsten]

@Sebastian Daneli

Should your data be the y-values of a probability density function ? If yes: what are the corresponding x-values ?