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math.MG2026
Localization from Pseudoranges: Quadrics and Duality
Mireille Boutin, Gregor Kemper
This paper gives a complete description of the solutions of the global positioning problem, emphasizing the under-determined case. We show that the solutions form a quadric, which…
math.MG2025
Global Positioning on Earth
Mireille Boutin, Rob Eggermont, Gregor Kemper
Contrary to popular belief, the global positioning problem on earth may have more than one solutions even if the user position is restricted to a sphere. With 3 satellites, we show…
math.MG2024
Path Tracking using Echoes in an Unknown Environment: the Issue of Symmetries and How to Break Them
Mireille Boutin, Gregor Kemper
This paper deals with the problem of reconstructing the path of a vehicle in an unknown environment consisting of planar structures using sound. Many systems in the literature do t…