This work is proposed as a contribution to the debate pertaining to the reverse modelling in the field of cultural heritage. Besides, the development of data capture techniques in recent years, in respect such as Terrestrial LIDAR (TLS), provides the possibility to develop new procedures for the architectural heritage analysis and diagnosis. This paper presents some of the results obtained throughout the integrated use of techniques and non-invasive for the assessment of vertical constructions from point clouds that allow obtaining relevant data. Likewise, this work consists of an investigation with different integrated methodologies for extraction purpose of the geometric information, data analysis and generation of a 3D mathematical model, reliable from a formal and cultural point of view. In fact, the technique is tested on the thousand-year-old minaret of the Agadir Mosque in the Province of Tlemcen, Algeria, one of the oldest minarets in Algeria, where the geometric differences between the vertical parts, being a priori equal, are identified and analysed; in addition, the possible deformations and lesions of the structure have alike been subject to study. In this respect, the technique can be performed and reproduced on any other vertical construction of any type whatever.
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