Projection on a plane using a 2*3 matrix

Posted by leipäjuusto on Stack Overflow See other posts from Stack Overflow or by leipäjuusto
Published on 2010-05-21T09:31:45Z Indexed on 2010/05/21 10:00 UTC
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Filed under:

projection

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matrix

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plane

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3d

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2d

Hello,

I can easily draw the projection of a 3D set of points onto the plane with normal vector (1,1,1), by using the matrix

    (-sqrt(3)/2   sqrt(3)/2   0)
    (-1/2         -1/2        1).

I want to do the same thing, but for a projection onto an arbitrary plane with normal vector (a,b,c) instead of (1,1,1). How to find the matrix?

Thanks in advance!

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