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CStorey

Canada
137 Posts
Posted - 08/23/2001 :  4:57:16 PM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
I would like to determine the curvature of a surface given a set of (x,y,z) co-ordinates on an irregular spaced grid.

How can I plot this data? As I understand it the only way to plot 3D surface is to have 1 regularly spaced variable and use matrices. Anyways around this? If anyone has ideas or suggestions please let me know.


Edited by - CStorey on 08/23/2001 17:08:26

Edited by - CStorey on 08/25/2001 13:59:01

easwar

USA
1965 Posts
Posted - 08/27/2001 :  12:06:04 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
I presume you have a set of (x,y,z) data points and want to determine the curvature of the surface represented by these points. In order to do this you will need to find the equation of a surface that fits your (x,y,z) data points. If you know the equation to the surface that will best represent your data, you can peform a fit to all the points. If not, you can compute the curvature of a surface at a given point by fitting a polynomial surface to all the neighboring points, and then compute the differential properties directly from the polynomial suface fit.

You can perform surface fits (which is essentially fitting with multiple independent variables) in Origin - a technical review article that demonstrates a Gaussian surface fit can be found here: http://www.originlab.com/www/resources/tech_reviews/Oct99/index.asp

Easwar
OriginLab
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CStorey

Canada
137 Posts
Posted - 09/10/2001 :  12:53:47 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Thanks for the tip! I'll take a look at that book.

Craig Storey
Origin WebRing Member - http://nav.webring.yahoo.com/hub?ring=originwebring
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