Lines, Curves and Surfaces in 3D

Intersection of Three Planes
• Three planes intersect at point.
• Two planes intersect in a line → two lines intersect at a point
• Similar problem to solving in 2D for two line intersecting:
– Solve three simultaneous linear equations:
CM0268
MATLAB
DSP
GRAPHICS
530
a 1 x + b 1 y + c 1 z + d 1 = 0
a 2 x + b 2 y + c 2 z + d 2 = 0
a 3 x + b 3 y + c 3 z + d 3 = 0
1
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