RT journal article T1 The Fortress Problem in Terms of the Number of Reflex and Convex Vertices. A 3D objects scanning application A1 Cabrera Revuelta, Elena A1 Chávez, María-José A1 Márquez Pérez, Alberto A2 Ingeniería Mecánica y Diseño Industrial K1 art gallery theorem K1 fortress problem K1 laser scanner AB This work focuses on the visibility of exterior of a polygon. We show a lower bound for the Fortress Problem applied to polygons P having n vertices in terms of the number of reflex vertices, the number of convex vertices and the number of pockets that are found when the convex hull is made on P. The results are related to the task of the geometric data acquisition for architectural surveys through techniques such as laser scanner. PB Elsevier SN 1571-0653 YR 2018 FD 2018-07 LK http://hdl.handle.net/10498/31567 UL http://hdl.handle.net/10498/31567 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 08-nov-2026