an apparatus for generating images of layers of an object from perspective images recorded from different positions by an array of radiation sources . the apparatus comprises an illumination device , for transilluminating the perspective images , and an imaging matrix comprising imaging elements . an optical system axis extends perpendicularly through the center of the matrix . the matrix superimposes the perspective images on a light - sensitive detector surface . in the apparatus , an optical deflection element is arranged in front of or behind each imaging element . the deflection element blurs the perspective image along a pattern which exhibits a major direction . the relevant deflection element is so arranged that the major direction extends at least substantially perpendicularly to a straight line connecting the optical system axis to the center of the imaging element within the matrix plane . all deflection elements are arranged in such a way relative to each other that the major directions subtend substantially equal angles with each other .