Re: Best Fit Plane - Parallel to xyplane!




p4prad...@xxxxxxxxxxx wrote:
I have found many information on net to find a best fit plane. But what
I need is a bit different one. Here is the description:

I have a collection of x, y, z points. Eg. {(x1, y1, z1), (x2, y2, z2),
......, (xn, yn, zn)}. And I want to find a best fit plane, but this
plane should be parallel to xy-plane. All methods I found on net for
best fit plane results in a plane which has a slope. But I need a best
fit plane from all these points which has no slope, that means a plane
whose z coordinate is same for any point taken on the plane.

I have found so many terms like least square, regression, singular
value decomposition, from which I cant really decide which one to use.
Heard from one of my teacher regarding double integration.

Any help?

Surely you should just ignore all the x_i and y_i, and take the plane
whose z coordinate is the mean of all the z_i values.
--

.



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