Algorithms for determining relative position between spheroids and hyperboloids with one sheet

Paula M. Castro, Adriana Dapena, María J. Souto-Salorio and Ana D. Tarrío-Tobar

Mathematics and Computers in Simulation (MATCOM), 2019, vol. 160, issue C, 168-179

Abstract: In this work we present a new method for determining relative positions between one moving object, modelled by a bounding spheroid, and surrounding static objects, modelled by circular hyperboloids of one sheet. The proposed strategy is based on the real-time calculation of the coefficients of degree three polynomial. We propose several algorithms for two real applications of this geometric problem: the first one, oriented to the design of video games, and the second one, devoted to surveillance tasks of a quadcopter in industrial or commercial environments.

Keywords: Relative position; Spheroid; Hyperboloid; Simulated environments; Algorithms (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:160:y:2019:i:c:p:168-179

DOI: 10.1016/j.matcom.2018.12.006

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