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 Fit Gaussian into 3D Graph
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Rizzy

Czech Republic
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Posted - 11/29/2006 :  3:13:07 PM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Origin Version (Select Help-->About Origin): 6.0
Operating System: WinXP

Hello,
Can I fit gaussian surface into 3D (X,Y,Z) graph? The graph is a record of light intensities of a star, where X,Y are pixel coordinates of the source picture and Z is measured intensity. I know how to draw 3D graph of that, but I have to fit on it gaussian surface to find out maximal Z of the fitted gaussian surface.

Thanks.

larry_lan

China
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Posted - 11/29/2006 :  8:57:36 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi:

The 2D Gaussian function is:



So you can define a function in Nonlinear Curve Fit dialog:

z=z0+A*exp(-0.5*((x-xc)/w1)^2-0.5*((y-yc)/w2)^2);

where z is dependent and x & y is independent.

Larry
OriginLab Technical Services
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easwar

USA
1965 Posts

Posted - 11/29/2006 :  9:18:38 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi Rizzy,

This technical article from our Knowledge Base may be of help:
http://www.originlab.com/index.aspx?s=9&pid=434

Easwar
OriginLab



Edited by - easwar on 11/29/2006 9:19:13 PM
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