U, V and N are generally known as the camera vectors. U is your view vector. the camera looks into this direction. the V vector is a vector you choose. it has to be orthogonal to the U vector. finally the N vector is the cross product of U and V, thus forming a cartesian coordinate system. all that is left is to find out is the translation part… usually it is just the negative of the camera’s position.

i don’t know what E and Z are… could you clarify on that ? i assume that E is the eye or camera position ?

Hi,

I am having hard time understanding the camera (view) matrix:

Ux Vx Nx 0

Uy Vy Ny 0

Uz Vz Nz 0

-E.U -E.V -E.Z 1

How is this matrix constructed?

Why are there dot products in the translation section of this matrix?

How is rotation and translation actually achieved by this matrix?

Cheers,

\~Ajit