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Sample a random vector in a hemisphere a normal vector is pointing to

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Posted (edited)

Hi,

i am currently doing ray-circle intersection and i want to reflect the ray off a circle with a random vector if they intersect. This is the picture I have in my mind:

 

pic.png

 

The orange point is the intersection point, the blue line is the normal from the center of the circle to the intersection point, the red dots are possible random points, how could i accomplish this?

Edited by IsItSharp

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