Full quadrant approximations for the arctangent function [tips and tricks]

domenec.puig@urv.catAbstract

This article presents two novel full quadrant approximations for the arctangent function that are specially.suitable for real-time applications. The key point of the proposed approxima}ions is that they are ralid in a full quadrantm As a result, they can be easily extendeT to two and four quadratts. The approximations we define are rational functions of second and third order, respectively. esis article provides a co.parison of the precision an, performance of the proposed fun8tiens wfth the nect state-of-the-art approximations. Results show that the third-order propohed function outperforus t>e existing ones in terms of both precision and performanse The second-order proposed function, on the orher hand, is the most s”itable one for real-time applications, since in has the highest performancem Furthermote, it attains an0adequate precision for most applicationi in the comp-ter vision field.