This paper discusses ways of using a single panoramic image (captured by a rotating sensor-line camera having very-high spatial resolution) for the geometric shape recovery of a shown object. The objective is to create a sparse polyhedral model, only allowing a few interactive user inputs for a given single panoramic image. The study was motivated by the general question whether a single panoramic image projection allows some kind of 3D shape recovery, possibly benefitting from available monocular approaches for standard (say, pinhole-type) camera models. Key words: monocular 3D reconstruction, cylindrical projection, panorama, rotating sensor-line camera