4 papers
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…
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…
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…
Global Positioning: the Uniqueness Question and a New Solution Method
Mireille Boutin, Gregor Kemper
We provide a new algebraic solution procedure for the global positioning problem in dimensions using satellites. We also give a geometric characterization of the situations…