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manatee
Posted: Tue Jul 08, 2008 2:51 pm    Post subject: Using 2d projections to form 3d line Reply with quote

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Joined: 08 Jul 2008
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Hi,
Ive got 3 2d lines which are projections of a 3d line, I would like to use these lines to reconstruct the 3d lines. I have the angles for these lines with respect to perpendicular axes, ie. theta-xy, theta-xz, theta-yz.
How can I convert these parameters into a single parametric equation that looks like:
x = x0 + ax*t
y = y0 + ay*t
z = z0 + az*t


Thanks
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MagiMaster
Posted: Tue Jul 08, 2008 5:23 pm    Post subject: Reply with quote

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Joined: 16 Jul 2006
Posts: 441

This isn't a full answer, but consider that changing z0 or az won't change theta-xy or the intercepts in the xy-projection.
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manatee
Posted: Tue Jul 08, 2008 5:27 pm    Post subject: Reply with quote

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Yes, that makes sense.
I think I figured it out..
assume dx/dt = 1
then dy/dt = dy/dx * dx/dt , also dz/dt = dz/dx * dx/dt
Quite simple really Smile
Thanks for the reply
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