Smart Structures across the Voronoi diagram

Abstract

Nowadays computational geometry plays a fundamental role in a large number of domains, it solves geometric problems by using algorithms through several parameters intricated between them; one of those domains is construction in view of its geometrical character but also its degree of increasing complexity and its willingness to offer intelligent and adaptable solutions to changing parameters in real time. The Voronoi algorithm represents one of the bases of computational geometry, it generates from known points a set of points which constitutes a cell or region which have certain geometrical characteristics, its association with the design of structures gives them a decision-making autonomy in real time to become a smart structure, this translates into the calculation of the influence zones of the vertical supports following their movements interactively.