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[Lapack] fitting a plane to a set of points in 3D space


You can use DGELS to solve
                 [ 1 x_1 y_1 ] [ a ]   [ z_1 ]
                 [ 1 x_2 y_1 ] [ b ]   [ z_2 ]
min        ||   [ 1 x_3 y_1 ] [ c ] - [ z_3 ]   ||
(a,b,c)         [ 1 x_4 y_1 ]         [ z_4 ]
                 [ 1 x_5 y_1 ]         [ z_5 ]

that'll give you (a,b,c). The equation of the plane that fits
the m (=5 in this case) points (x_i,y_i) best is z=ax+by+c.

-julien

On Mon, 9 Nov 2009, Sarkissian, Edwin (388D) wrote:

Hello,

Which lapack routine(s), if any, ?can be used to fit a plane to a set of 
points in 3D space?

Thank you in advance,
Edwin Sarkissian
Edwin.Sarkissian@Domain.Removed


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