PRECISION POINT
Engineering
Fundamentals
FIT PLANE THROUGH DATA POINTS
1/1
Introduction
Method to derive a best fit a plane through number (≥ 3) XYZ
data points, where the summed square errors of the data points
w.r.t. the fit-plane in Z-direction is minimal.
Equation of a plane
,
∙
∙
Data points
⋮
Coefficients of plane equation
1
Tip / Tilt angles
$
! "#
$
! " #(
$
$
,
! "& '
%
,
∙
%
! "&( '
2
Fit quality – Coefficient of determination = R
1(
A value of
∑
∑
* (
,
1
( ∑
"
,
+
-
which is close to 1 indicates a good fit quality.
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