How to get the direction of the camera?

How can i get the direction of the camera from the modelview matrix? Note that i’m using from the function gluLookAt()to move and rotate the camera.

In eye space it’s always (0, 0, -1, 0).

For a right-handed(!) camera system, back into model space you would need to transform that by the inverse of the modelview:

MV * v = (0, 0, -1, 0)T;
MV^-1 * MV * v = MV^-1 * (0, 0, -1, 0)T;
v = MV^-1 * (0, 0, -1, 0)T;

Only rotations are interesting, that gives MV^-1 == (MV)T and the matrix just needs to be 3x3.

v = (MV)T * (0, 0, -1)T;

The result of that is the negated first three comonents of the third row of the current modelview matrix.