How to detect if an ellipse collides with an another ellipse / rectangle?

If this is for a game, then exactness should not be an issue. Treat your ellipse as a polygon, that is, choose N evenly distributed points on your ellipse and treat is as a polygon. Adjuct N to the level of the desired correctness Now you need to test if a convex polygon collides with a rectangle.

And the latter is a convex polygon as well. Here's a link for convex polygon collision detection.

If this is for a game, then exactness should not be an issue. Treat your ellipse as a polygon, that is, choose N evenly distributed points on your ellipse and treat is as a polygon. Adjuct N to the level of the desired correctness.

Now you need to test if a convex polygon collides with a rectangle. And the latter is a convex polygon as well. Here's a link for convex polygon collision detection.

If you need precise answer, than you have to describe your figures as functions and use Newton's method for finding intersection points.

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