Allright... cool... lots of verry cool information here... thanks for the
links.
Mathieu
-----Original Message-----
From: owner-xsi(at)Softimage.COM [mailto:owner-xsi(at)Softimage.COM]On Behalf
Of francois.painchaud(at)sympatico.ca
Sent: Tuesday, June 13, 2006 9:15 PM
To: XSI(at)Softimage.COM
Subject: Re: [Math formula] find closest point to ellipsiod
Some C++ code:
http://www.geometrictools.com/DistanceBody.html
http://www.geometrictools.com/Documentation/DistancePointToEllipsoid.pdf
Somewhat related links...
http://www.gamedev.net/community/forums/topic.asp?topic_id=379935
http://www.spaceroots.org/documents/distance/distance-to-ellipse.pdf
http://www.ag.jku.at/pubs/ctd02.pdf
Cheers,
François
> De: <francois.painchaud(at)sympatico.ca>
> Date: 2006/06/13 mar. PM 08:42:44 GMT-04:00
> À: <XSI(at)softimage.com>
> Objet: Re: [Math formula] find closest point to ellipsiod
>
> You are on track: an ellipsoid is just an appropriately scaled sphere.
> In this line of thought:
> http://www.gamedev.net/community/forums/topic.asp?topic_id=308119
>
> François
>
> > De: Reinhard Claus <rclaus(at)gmail.com>
> > Date: 2006/06/13 mar. PM 06:13:53 GMT-04:00
> > À: XSI(at)softimage.com
> > Objet: 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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