Lines, Curves and Surfaces in 3D
Lines, Curves and Surfaces in 3D
Lines, Curves and Surfaces in 3D
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Least Squares Fit of a Plane<br />
Let us suppose we are given a set of po<strong>in</strong>ts <strong>in</strong> the form z = z(x, y),<br />
i.e. we are given z i values for the po<strong>in</strong>ts ly<strong>in</strong>g at a set of known (x i , y i )<br />
positions.<br />
CM0268<br />
MATLAB<br />
DSP<br />
GRAPHICS<br />
558<br />
The equation of a plane can be written as<br />
z = ax + by + c.<br />
1<br />
For a given po<strong>in</strong>t P i = (x i , y i , z i ) the error <strong>in</strong> the fit is measured by<br />
σ i = z i − (ax i + by i + c).<br />
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