RT Journal Article T1 Waves in isotropic totalistic cellular automata: application to real-time robot navigation A1 Calvo, C. A1 Villacorta-Atienza, José Antonio A1 Miranov, V.I. A1 Gallego, V. A1 Makarov Slizneva, Valeriy AB Totalistic cellular automata (CA) are an efficient tool for simulating numerous wave phenomena in discrete media. However, their inherent anisotropy often leads to a significant deviation of the model results from experimental data. Here, we propose a computationally efficient isotropic CA with the standard Moore neighborhood. Our model exploits a single postulate: the information transfer in an isotropic medium occurs at constant rate. To fulfill this requirement, we introduce in each cell a local counter keeping track of the distance run by the wave from its source. This allows maintaining the wave velocity constant in all possible directions even in the presence of nonconductive local areas (obstacles) with complex spatial geometry. Then, we illustrate the model on the problem of real-time building of cognitive maps used for navigation of a mobile robot. The isotropic property of the CA helps obtaining "smooth" trajectories and hence natural robot movement. The accuracy and flexibility of the approach are proved experimentally by driving the robot to a target avoiding collisions with obstacles. PB World Scientific SN 0219-5259 YR 2016 FD 2016 LK https://hdl.handle.net/20.500.14352/23159 UL https://hdl.handle.net/20.500.14352/23159 LA eng NO Electronic version of an article published as Advances in Complex Systems 19 (2016) 1650012 copyright World Scientific Publishing Company NO Russian Science Foundation DS Docta Complutense RD 5 abr 2025