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3D picking - need help

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Hi all, I have a list of 4 million unique points. Each point is rotated by a quaternion on all three axes, then scaled by some random distance. My issues is trying to identify the correct point when I mouse click on it. I'm not sure if a ray point intersection will do the trick since I'd have to test against all 4 million points (or at least the ones with the same x,y as the ray). Is there a better way to do picking other than ray intersection?

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