Fitting 2D- and 3D-geometries

I have a set of 3D-coordinates representing points in 3D-space. This set of points represents a relatively simple 2D or 3D geometrical element like a circle, a rectangle, a sphere, a cylinder, a plane, a cone, ... and I know the type of geometry that I'm looking for. I know that LabView includes functionality to fit circles and spheres, and that fitting planes is done quite easily, but are there any possibilities withing LabView (or maybe Diadem?) to fit the other mentioned posibilities?
Any help would be appreciated.

Fitting data to a function requires two things:
A mathematical description of the model.
A mathematical expression of the fit quality, a value that should be minimized by adjusting the model parameters.
Once you have that, you can just use Levenberg Marquardt. Chisquare might not be the best for (2) in 3D, you could e.g. use the sum of the square of the distance vectors between data and model. Sometimes it might help to transform the problem into a different coordiate system (spherical, cylidrical, etc.)
Also be sure to use good starting values for your parameters..
Under very specific conditions the problem can be dramatically simplified. Here's a recent discussion of the sphere fitting algorithm: http://forums.ni.com/ni/board/message?board.id=170&message.id=149402#M149402
Do you know what shape you want to fit or do you also want the program to automatically determine the shape of the object (i.e. determine if it is a cylinder or cone, then fit it accordingly)?
LabVIEW Champion . Do more with less code and in less time .

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