Based on the well known solution of the time-independent radiative transfer equation along a ray and on suitable point transformations, general quadrature solutions of the monochromatic equation for plane-parallel, spherically-symmetric and arbitrarily shaped 3D configurations with differential motion are derived for the observer's and comoving frame. The source function is assumed to be given; however, the scatttering case requires only a simple iteration in addition. Since complete Lorentz transformations are used, the velocities are not restricted. It is shown that in many cases the explicit form of the transfer equation - which often is quite complicated - is not required for the determination of the specific intensities. (orig.)Availab...