Re: [Math formula] find closest point to ellipsiod

Date : Wed, 14 Jun 2006 00:13:53 +0200
To : XSI(at)softimage.com
From : Reinhard Claus <rclaus(at)gmail.com>
Subject : Re: [Math formula] find closest point to ellipsiod
Just thinking aloud here.... For a sphere, the distance would be

|Point ----> sphere center| - sphere radius

Maybe you could "virtually" distort space so the ellipsoid becomes a circle, then use the fomula, and then recompute the distance somehow to compensate for the distortion.

Could be totally off the track here, close to falling asleep.

Reinhard


Mathieu Leclaire schrieb:
I'm looking for the fastest formula to find the closest point on the surface
of an ellipsiod. Well actually I only need the distance of the closest point
so if a point has more then one point on the surface that has the same
distance, it doesn't really matter which one, I only need the distance. I'm
browsing through my old Math books but I'm having a hard time finding a
solution so I'm just checking to see if anyone remembers his Math well
enough to guide me towards a formula.


Mathieu Leclaire R&D Programmer Hybride Technologies



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