This paper deals with 3D modelling of complex architectural elements for virtual 3D scene reconstruction based on images or point clouds. It presents a new method at the opposite of classical photogrammetry and lasergrammetry techniques: parametric components are created and then adapted to the measured data. We have conceived and developed a parametric shape generator tool for virtual 3D reconstruction of cultural heritage monuments. We present the geometrical study on the cupola shapes with all their diversity. It is illustrated with the Suleymaniyé Mosque in Turkey. The results are promising. The modelling time is greatly reduced.