Ambiguities in a Problem in Planar Geodesy
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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2015 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146900 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862744910424178688 |
|---|---|
| author | Schicho, J. Gallet, M. |
| author_facet | Schicho, J. Gallet, M. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-07T20:37:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146900 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:37:25Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Schicho, J. Gallet, M. 2019-02-11T21:18:19Z 2019-02-11T21:18:19Z 2015 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. 1815-0659 2010 Mathematics Subject Classification: 14N05; 14N15 DOI:10.3842/SIGMA.2015.008 https://nasplib.isofts.kiev.ua/handle/123456789/146900 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. 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". en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Ambiguities in a Problem in Planar Geodesy Article published earlier |
| spellingShingle | Ambiguities in a Problem in Planar Geodesy Schicho, J. Gallet, M. |
| title | Ambiguities in a Problem in Planar Geodesy |
| title_full | Ambiguities in a Problem in Planar Geodesy |
| title_fullStr | Ambiguities in a Problem in Planar Geodesy |
| title_full_unstemmed | Ambiguities in a Problem in Planar Geodesy |
| title_short | Ambiguities in a Problem in Planar Geodesy |
| title_sort | ambiguities in a problem in planar geodesy |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146900 |
| work_keys_str_mv | AT schichoj ambiguitiesinaprobleminplanargeodesy AT galletm ambiguitiesinaprobleminplanargeodesy |