A method for extracting the 6 plane equations of a viewing frustum given by a MVP matrix is given by this. It there a similar method known for getting the world space coordinates of its 8 corner points, directly out of the 4x4 MVP matrix and without using trigonometry?
Coordinates of frustum corners
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Solved it by multiplying the projected coordinates of the frustum corners e.g. (1, -1, -1) with the inverse MVP matrix.
Edit:
If an OpenGL-type projection matrix P is used, the coordinates
c
of the frustum's corners in model space are(±1, ±1, ±1)
(inside the frustum each coordinate goes from -1 to +1).The corresponding coordinates in world space can be calculated as
(P * V * M)^(-1) * c
. (in homogeneous coordinates)