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

Author

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

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.

Suggested Citation

  • Castro, Paula M. & Dapena, Adriana & Souto-Salorio, María J. & Tarrío-Tobar, Ana D., 2019. "Algorithms for determining relative position between spheroids and hyperboloids with one sheet," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 160(C), pages 168-179.
    • Handle: RePEc:eee:matcom:v:160:y:2019:i:c:p:168-179
    DOI: 10.1016/j.matcom.2018.12.006
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