Re: [Math formula] find closest point to ellipsiod

Date : Tue, 13 Jun 2006 18:21:00 -0400
To : XSI(at)Softimage.COM
From : "B Miller" <bmillerxsilist(at)gmail.com>
Subject : Re: [Math formula] find closest point to ellipsiod
Hi,

There's a good article on the subject in the indispensible Geometric Tools for Computer Graphics (section 10.5.2). Well worth the $70 cover price, IMHO. The author recommends a Newton iteration method to solve the (yikes!) 6th degree root. The equation, BTW, is _long_ but I'll copy it out and email it to you if you have trouble finding it or if you haven't got time to get to that reference book..

Brett


On 6/13/06, Mathieu Leclaire <mleclair(at)hybride.com> wrote:
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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