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Method for determining future position boundary for a moving object from location estimates

  • US 9,273,965 B2
  • Filed: 02/03/2014
  • Issued: 03/01/2016
  • Est. Priority Date: 02/03/2014
  • Status: Active Grant
First Claim
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1. A computer implemented method for estimating a boundary for a future location of a moving object, the method comprising:

  • receiving, by a receiver, location information about two previous locations of the moving object represented by a first and a second elliptical error probabilities (EEPs);

    converting the parameters of each of the first and the second EEPs to parameters of a quadratic form to represent said each of the first and the second EEPs as a conic section via an implicit quadratic equation;

    computing four tangent lines from the implicit quadratic equation, each tangent line being tangent to both of the first and the second EEPs;

    determining two transverse tangent lines from the four tangent lines to provide a maximum angle formed by a vector passing from the first EEP to the second EEP;

    constructing a cone in a direction from the first EEP to the second EEP from the two transverse tangent lines; and

    estimating the boundary of the future location of the moving object as a first side of the cone formed by a first transverse tangent line and a second side of the cone formed by a second transverse tangent line, of the two transverse tangent lines.

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