Abstract: An apparatus for optically scanning a reflective object includes a first reflector having a frustoconical reflecting surface with a central opening. A second reflector has a flat reflecting surface which faces the frustoconical surface and is inclined with respect to the axis thereof. To the side of the flat surface is an optoelectronic sensor which is connected to a processing unit. Between the sensor and the flat surface is a focusing system which functions to focus light reflected from such surface onto the sensor. In operation, an object to be scanned is moved through the central opening of the frustoconical surface along the axis of the latter. As the object moves, a light source illuminates successive, circumferentially complete bands of the object at a predetermined location within the space surrounded by the frustoconical surface. Light from the source impinges upon the object from laterally thereof and at an angle to the axis of the frustoconical surface.