We describe a geometric approach for reconstructing 3D textured graphical models of surface of revolution (SOR) objects from a single uncalibrated view. Our approach is based on the fact that, for the object class of interest, the structure of the scene provides enough constraints for camera calibration even from a single view. Reconstruction (up to a scaling factor) of 3D shape is complemented with the extraction of flattened 2D texture, so as to support visual retrieval from 2D/3D cues and to generate realistic 3D visualization models. The approach developed is quite simple, yet accurate and robust; its applications range from the preservation, analysis and classification of cultural heritage, to advanced graphics and multimedia.