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

摘要

A method for estimating a boundary for a future location of a moving object includes: receiving location information about two previous locations of the moving object represented by a first and a second elliptical error probabilities (EEPs); representing each of the EEPs as a conic section via an implicit quadratic equation; defining four tangent lines from the implicit quadratic equation, each tangent line being tangent to both of the EEPs; determining two transverse tangent lines from the four tangent lines; forming 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.

主权项

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.