Transcript Equation of Line Plan

Equation of Line & Plane
CAM 2010
Su-Jin Kim
Line
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P-P1=k(P2-P1)
x-x1=k(x2-x1)
P=(1-k)P1 + kP2
x=(1-k)x1 + kx2
0<=k<=1
P1(x1,y1,z1)
P2(x2,y2,z2)
P(x,y,z)
Plane
• P-P1=u(P2-P1)+v(P3-P1)
• x-x1=u(x2-x1)+v(x3-x1)P (x ,y ,z )
• 0<=u,v<=1
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P(x,y,z)
P1(x1,y1,z1)
P2(x2,y2,z2)