- #1
kaksmet
- 83
- 0
Hello
I am trying to make a uniform distribution of points on a sphere. I can find the answer
[tex]\theta=\pi R_1[/tex]
[tex]\phi = arccos(1-2R_2)[/tex]
where R1 and R2 are uniformly distributed random numbers between 0 and 1.
To me, it feels like
[tex]\theta=\pi R_1 sin(R1)[/tex]
[tex]\phi = 2\pi R_2[/tex]
should also give the correct distribution. Is that the case, and if not how can I understand why not this but the above solution is true? How can I calculate my way to the first answer?
thanks!
Tomas
I am trying to make a uniform distribution of points on a sphere. I can find the answer
[tex]\theta=\pi R_1[/tex]
[tex]\phi = arccos(1-2R_2)[/tex]
where R1 and R2 are uniformly distributed random numbers between 0 and 1.
To me, it feels like
[tex]\theta=\pi R_1 sin(R1)[/tex]
[tex]\phi = 2\pi R_2[/tex]
should also give the correct distribution. Is that the case, and if not how can I understand why not this but the above solution is true? How can I calculate my way to the first answer?
thanks!
Tomas