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 (Cont.)<br />
Now ∂χ2<br />
∂a<br />
= 0 gives:<br />
∑<br />
xi z i − a ∑ x 2 i − b ∑ x i y i − c ∑ x i = 0,<br />
CM0268<br />
MATLAB<br />
DSP<br />
GRAPHICS<br />
560<br />
<strong>and</strong> ∂χ2<br />
∂b<br />
= 0 gives:<br />
∑<br />
yi z i − a ∑ x i y i − b ∑ y 2 i − c ∑ y i = 0,<br />
1<br />
<strong>and</strong> ∂χ2<br />
∂c<br />
= 0 gives<br />
∑<br />
zi − a ∑ x i − b ∑ y i − nc = 0.<br />
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