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The question more specifically is the following. I have the parameteric equation for an ellipsoid. I have the location of a point. I want to find the shortest distance from the surface of the ellipsoid to the point. The point could be on the inside or the outside of the ellipsoid. I currently have a brute force program solving this but would like an equation or something else cleaner/faster to solve this. Is there a better way I could be doing this? Thanks for your time.