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Ambiguities in a Problem in Planar Geodesy
Репозиторій DSpace/Manakin
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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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Ambiguities in a Problem in Planar Geodesy
Інший ID:
2010 Mathematics Subject Classification: 14N05; 14N15
DOI:10.3842/SIGMA.2015.008
DOI:10.3842/SIGMA.2015.008
Посилання:
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.
Підтримка:
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".
Дата:
2015
Переглядів:
598
Завантажень:
256
Анотація:
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.
