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Thread: Using 2d projections to form 3d line

  1. #1 Using 2d projections to form 3d line 
    New Member
    Join Date
    Jul 2008
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    3
    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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  3. #2  
    Forum Radioactive Isotope MagiMaster's Avatar
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    Jul 2006
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    This isn't a full answer, but consider that changing z<sub>0</sub> or a<sub>z</sub> won't change theta-xy or the intercepts in the xy-projection.


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  4. #3  
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    Jul 2008
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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
    Thanks for the reply
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