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That's what I figured too, drawing out the diagram it says that the deflected angle theta is related to the approach angle phi via the following sin(theta) = d/R (d = distance bewteen two centers of balls in the x direction, R = radius of ball) sin(phi) = d/2R So expanding sin (x) = x - x^3/3...

That's a clever thought! Although Kozoom can do it without any of that I'm guessing? Or they are actually using infrared light and camera in their 3-cushion games? haha

Well, isn't Dr.Dave's 30-degree-rule put into practice now?

Thanks Dr.Dave!;)

so this only works when your exit point is actually on the opposite side of OB, if your cut is thinner than half ball then the exit point doesn't exist?

I think I know what you are saying now. So if you aim at some point in the front of OB and shoot the CB towards that point, then the final path of CB is parallel to the line connecting OB's center and the front point?

Yeah the ring light makes circular square reflection on the ball instead of a single strip

wow, thank you so much for this!

I'm not familiar with the "spot on the far side of the object ball method" Can you provide a tutorial to this?

You mean to use the bright spot as an "initial guess" for the location of the circle for Hough transform? I don't know you can do that! Could you tell me a little more about it? On a different note, I think the more important application is to detect balls in regular videos like the one you...

Actually I have a code that does exactly that, but the code can only track one ball of a particular color that you specified before hand. I'm bad at coding so I need time to figure out how to track multiple balls using the method you described. On the other hand, there is a dedicated method...

I understand your concern. Even though the bright spot is no at the center of the cue ball, it doesn't move (move very slightly) on the surface (at least for the shots in this video), so it still accurately represents the trajectory of the ball.

Thanks Bob!

I guess my question is I don't really understand your comment. Could you maybe rephrase it a little? Thanks!

no

But what if the approach angle of the cue ball is 0? Like when the CB hits the OB head on, then the path of the CB is the farthest from the tangent

Hey everyone please check out my new video on 30 degree rules! I used ball tracking code to accurately record the deflected angles for rolling cue ball shots

Keep me updated! That would be awesome project:)

I Sure! I didn't write anything original. All essential tools come from OpenCV. Just try out different things haha

This will work with the top view of the table right? If you get background then a lot of stuff can be detected as circles