Ambiguities in a Problem in Planar Geodesy

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dc.contributor.authorSchicho, J.
dc.contributor.authorGallet, M.
dc.date.accessioned2019-02-11T21:18:19Z
dc.date.available2019-02-11T21:18:19Z
dc.date.issued2015
dc.description.abstractThis 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.uk_UA
dc.description.sponsorshipWe thank Kristian Ranestad for pointing out to us the solution of a crucial interpolation problem, Bert J¨uttler and Martin Peternell for helping us to orient ourselves in the literature on geodesy, and the anonymous referees for helpful comments and pointers to literature on photogrammetry. The authors’ research is supported by the Austrian Science Fund (FWF): W1214-N15/DK9 and P26607 – “Algebraic Methods in Kinematics: Motion Factorisation and Bond Theory".uk_UA
dc.identifier.citationAmbiguities in a Problem in Planar Geodesy / J. Schicho, M. Gallet // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 10 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 14N05; 14N15
dc.identifier.otherDOI:10.3842/SIGMA.2015.008
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146900
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleAmbiguities in a Problem in Planar Geodesyuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік