Saturday, 24 August 2013

2D point projection on an ellipse

2D point projection on an ellipse

I would like to find an equation to this problem:

The problem is that I have an ellipse at a given center point C, with
radius a (x axis), and radius b (y-axis). So far so good. Now I have the
points P1-Pn anywhere around (P1 for example), even inside (P2). Now I
want to get projection (I1-In) on ellipse for any possible P (except
center I guess).
So basically a ray/ellipse intersection. Or maybe somehow detect angle
between x-axis and P (È), and then project it back on ellipse.

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