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GPS Solutions - Global and local positioning systems (LPS) make use of nonlinear equations systems to calculate coordinates of unknown points. There exist several methods, such as Sturmfels’... 相似文献
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Closed form solutions for transforming 3D Cartesian to geodetic coordinates reduce the problem to finding the real solutions
of the fourth degree latitude equation or variations of it. By using symbolic tools (Sturm–Habicht coefficients and subresultants
mainly) we study the methods (and polynomials) proposed by Vermeille and Borkowski to solve this problem. For Vermeille approach,
the region where it cannot be applied is completely characterized. For those points it is shown how to transform 3D Cartesian
to geodetic coordinates and a new method for solving Vermeille equation for those cases not yet covered is introduced. Concerning
Borkowski’s approach, the symbolic analysis produces a complete characterization of the singular cases (i.e. where multiple
roots appear). 相似文献
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