Lines, Curves and Surfaces in 3D
Lines, Curves and Surfaces in 3D
Lines, Curves and Surfaces in 3D
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Intersection of a L<strong>in</strong>e <strong>and</strong> Plane<br />
P (x, y)<br />
CM0268<br />
MATLAB<br />
DSP<br />
GRAPHICS<br />
528<br />
If the plane is <strong>in</strong> implicit form ax + by + cz + d = 0 <strong>and</strong> l<strong>in</strong>e is <strong>in</strong><br />
parametric form:<br />
x = x 0 + ft<br />
y = y 0 + gt<br />
z = z 0 + ht<br />
The the po<strong>in</strong>t, P (x, y), where the is given by parameter, t:<br />
t = −(ax 0 + by 0 + cz 0 + d)<br />
af + bg + ch<br />
1<br />
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