The present invention relates to a system and method for the automated inspection of geometric parameters of railway wheels rolling on a track by artificial vision techniques. The present invention uses a structured light source (10) that illuminates a line of light (12) upon a fraction of the surface of revolution (3) of a wheel (1), a CCD camera (20), which captures an image (21) of the illuminated area, and a data processing system that records, digitalizes, geometrically corrects and reconstructs information of the surface of revolution (3) that is not recorded in the image (21), in order to obtain a numeric description of the complete transverse section of the wheel (1) represented by a reconstructed profilogram (500) for calculating the geometric parameters of the wheel (1).