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Home/ Questions/Q 8459611
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Editorial Team
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Editorial Team
Asked: June 10, 20262026-06-10T13:22:43+00:00 2026-06-10T13:22:43+00:00

I would like to compute the intersection of a 3D line with the plane

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I would like to compute the intersection of a 3D line with the plane at infinity. I suspect it would be the same as taking the 3D direction of the line and setting the 4th vector coordinate to 0.

However, this is not enough. I would like to know the 2D position of the intersection in screen coordinates after the line is transformed and projected by a perspective camera.

This problem is equivalent to finding the vanishing point in a 2D image.

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  1. Editorial Team
    Editorial Team
    2026-06-10T13:22:45+00:00Added an answer on June 10, 2026 at 1:22 pm

    It seems that a vanishing point corresponds to a direction in 3D space. Hence, using a homogeneous vector of the form [x y z 0] in the rendering pipeline yields the 2D coordinates of the vanishing point on the screen.

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