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 How to do the Parabola interpolation?
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tjuxjliu

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Posted - 04/25/2005 :  08:38:31 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Origin Version (Select Help-->About Origin): 7.5
Operating System:winXP
how to do the Parabola interpolation?

Edited by - tjuxjliu on 04/25/2005 08:53:24 AM

easwar

USA
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Posted - 04/25/2005 :  09:03:49 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi,

Not sure what you mean by parabola interpolation...

In order to perform interpolation, you need to do the following:
1> plot your data as a line and symbol graph
2> go to Plot Details, to the Line tab, and set the line Connect drop-down to Straight, B-Spline, or Spline
3> use the menu item Analysis->Interpolate/Extrapolate and specify begin X, end X and number of points

The interpolation performed will be linear, spline, or b-spline based on the line Connect setting you chose.

Now, if what you want is to represent your data by a parabola, you can just do a polynomial fit of order 2 using the Analysis->Fit Polynomial menu item. In that dialog, you can specify the x min, x max, and number of points desired in your fit curve.

Easwar
OriginLab

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tjuxjliu

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Posted - 04/28/2005 :  12:38:34 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Easwar, thank you!

It seems that Polynomial Fitting is good. Can I obtain better result?

This phrase, parabola interpolation, was found in a paper. They tried to cover five or more data points and obtained good results. I have similar data and need to treat as they did. Using Analysis->Interpolate/Extrapolate in Origin, the straight-line link is only obtained between neighboring data, far beyond my expection. Now I do a polynomial fit of order 2, and the fitting line is not well acrossing my data point.

Is it possible to conclude all my data in the fitting line?


Xinjun




Edited by - tjuxjliu on 04/28/2005 11:31:39 AM
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