Ambiguities in a Problem in Planar Geodesy

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік
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dc.contributor.author	Schicho, J.
dc.contributor.author	Gallet, M.
dc.date.accessioned	2019-02-11T21:18:19Z
dc.date.available	2019-02-11T21:18:19Z
dc.date.issued	2015
dc.identifier.citation	Ambiguities 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 14N05; 14N15
dc.identifier.other	DOI:10.3842/SIGMA.2015.008
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146900
dc.description.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.	uk_UA
dc.description.sponsorship	We 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Ambiguities in a Problem in Planar Geodesy	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA