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Equation for Intersection

1 reply on 1 page. Most recent reply: Dec 15, 2005 10:29 PM by Matthias Neumair

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NA NA

Posts: 1
Nickname: hsindragon
Registered: Dec, 2005

Equation for Intersection Posted: Dec 14, 2005 6:41 AM
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I hope some of you with higher mathematical education can help me here. I need an equation to represent the movement of a line segemnt through 3D space that is changing length at a constant rate so that I can predict if any of these lines will be occupying the same point in space at any time. It's giving me a headache, I hope you guys can help me.


Matthias Neumair

Posts: 660
Nickname: neumi
Registered: Sep, 2003

Re: Equation for Intersection Posted: Dec 15, 2005 10:29 PM
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p11(t) ... startpoint of line1

p12(t) ... endpoint of line1

p21(t) ... startpoint of line2

p22(t) ... endpoint of line2

d1(t) = p12(t) - p11(t)

d2(t) = p22(t) - p21(t)

p1(t) = p11(t) + i * d1(t), i element of [0, 1]

p2(t) = p21(t) + j * d2(t), j element of [0, 1]


Now you need t, i, j so that p1(t) == p2(t)

It all depends of the functions for pxx(t).

I don't think there is a standard solution, but I'll look into it.

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