The invention relates to an optical system with well corrected aberrations, which is adapted to take images from a full panoramic scene on a cylindrical, conical or other three-dimensional image surface or project such a three-dimensional display surface onto a full field of view in the distance. In an optical system adapted to form images from a 360° panoramic scene on a cylindrical or conical image surface 3, there is an annular refractive optical element 2 provided with the center axis 1 of rotation of the image surface 3 as the axis of rotational symmetry. There is further at least one reflective surface 4 provided with the center axis 1 of the rotation as the axis of rotational symmetry.