Finding an Ellipse in 3-D Space
Date: 06/14/2005 at 09:48:21 From: Farhat Subject: three dimensional curve approximation I want to fit an ellipse to a set of 3D data points. Can you help?
Date: 06/14/2005 at 12:16:01 From: Doctor George Subject: Re: three dimensional curve approximation Hi Farhat, Thanks for writing to Doctor Math. This is not a simple problem, and it goes beyond most of what we do here at Dr. Math. Here are links to a couple papers that will point you in the right direction. This paper covers circle and ellipse fitting in a plane: http://www.ulb.ac.be/assoc/bms/Bulletin/sup962/gander.pdf This paper covers circle fitting in space. You can modify the ideas here for ellipse fitting in space: http://nvl.nist.gov/pub/nistpubs/jres/103/6/j36sha.pdf Write again if you need more help. - Doctor George, The Math Forum http://mathforum.org/dr.math/
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