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Article #863

Re: Fit a circle to (x,y) datapoints?

#863
From: Clint Cummins
Date: Tue, 26 Jan 1993 22:44
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You can't specify y in terms of x, because a circle is not a function
(one x can map to 2 different values of y).  Instead, use a "fake" dependent
variable with the value zero, and on the right hand side, write the function
to be minimized (when squared).  This approach will work for any nonlinear
least squares package.  In your case, let's say the circle's origin is
(A,B) with radius R.  Dependent variable:  ZERO=0;
Function for PROC NLIN:  ZERO = R - SQRT((X-A)**2 + (Y-B)**2)

Clint Cummins
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Message-ID: <1993Jan26.224443.25341@leland.Stanford.EDU>
Path: arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!nntp.Stanford.EDU!clint
References: <1993Jan26.141416.13815@galen.physiol.ox.ac.uk>

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Path: arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!nntp.Stanford.EDU!clint
From: clint@leland.Stanford.EDU (Clint Cummins)
Subject: Re: Fit a circle to (x,y) datapoints?
Message-ID: <1993Jan26.224443.25341@leland.Stanford.EDU>
Sender: news@leland.Stanford.EDU (Mr News)
Organization: DSG, Stanford University, CA 94305, USA
References: <1993Jan26.141416.13815@galen.physiol.ox.ac.uk>
Date: Tue, 26 Jan 93 22:44:43 GMT
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