Ambiguities in a Problem in Planar Geodesy

Josef Schicho, Matteo Gallet

Research output: Contribution to journalArticlepeer-review

Abstract

This is a study of a problem in geodesy with methods from complex algebraic geometry: for a fixed number of measure points and target points at unknown position in the Euclidean plane, we study the problem of determining their relative position when the viewing angles between target points seen from measure points are known. In particular, we determine all situations in which there is more than one solution.
Original languageEnglish
Article number008
Pages (from-to)1-13
Number of pages13
JournalSIGMA - Symmetry, integrability and geometry: methods and applications
Issue number008
Publication statusPublished - 2015

Fields of science

  • 101 Mathematics
  • 101001 Algebra
  • 101005 Computer algebra
  • 101009 Geometry
  • 101012 Combinatorics
  • 101013 Mathematical logic
  • 101020 Technical mathematics

JKU Focus areas

  • Computation in Informatics and Mathematics

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