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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: 

This paper covers circle fitting in space.  You can modify the ideas
here for ellipse fitting in space: 

Write again if you need more help.

- Doctor George, The Math Forum 
Associated Topics:
College Higher-Dimensional Geometry

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