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### #ActualÁlvaro

Posted 21 December 2012 - 06:50 AM

The projection of a sphere on a plane is an ellipse. I can think of several strategies to compute exactly what ellipse it is. For instance, you can compute the lowest and highest ray that are tangent to the sphere, intersect them with the ground plane and that will give you the major axis of the ellipse. The point where the sphere touches the ground is a focus of the ellipse. That's already enough information to recover the ellipse exactly.

### #1Álvaro

Posted 21 December 2012 - 06:49 AM

The projection of a sphere on a plane is an ellipse. I can think of several strategies to compute exactly what ellipse it is. For instance, you can compute the lowest and highest ray that are tangent to the sphere, intersect them with the ground plane and that will give you the major axis of the ellipse. The point where the sphere touches the ground is actually a focus of the ellipse. That's already enough information to recover the ellipse exactly.

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