Theory NO. 6 : A point projection matrix to a line (3D)

29Apr09

I was trying to get a matrix for a projection of any point to a line given by the following equotations:

x=at
y=bt
z=ct

After some time of research I’ve ended with the following result:
Let r=a^2+b^2+c^2 then
M=  \left ( \begin{matrix} a^2/r & ba/r & ca/r \\  ab/r & b^2/r & cb/r \\ ac/r & bc/r & c^2/r \end{matrix} \right )

Of course the result isn’t new at all, it was just a big efford for me to do that at midnight – so I guess it may be worth saving it here.

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One Response to “Theory NO. 6 : A point projection matrix to a line (3D)”

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