Ranging algebraically with more observations than unknowns
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- Awange Joseph L.
- Department of Geophysics, Kyoto University
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- Fukuda Yoichi
- Department of Geophysics, Kyoto University
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- Takemoto Shuzo
- Department of Geophysics, Kyoto University
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- Ateya Ismail L.
- Department of Geophysics, Kyoto University
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- Grafarend Erik W.
- Department of Geodesy and GeoInformatics, Geschwister-Scholl
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説明
In the recently developed Spatial Reference System that is designed to check and control the accuracy of the three-dimensional coordinate measuring machines and tooling equipment (Metronom US., Inc., Ann Arbor: http: //www. metronomus. com), the coordinates of the edges of the instrument are computed from distances of the bars. The use of distances in industrial application is fast gaining momentum just as in Geodesy and in Geophysical applications and thus necessitating efficient algorithms to solve the nonlinear distance equations. Whereas the ranging problem with minimum known stations was considered in our previous contribution in the same Journal, the present contribution extends to the case where one is faced with many distance observations than unknowns (overdetermined case) as is usually the case in practise. Using the Gauss-Jacobi Combinatorial approach, we demonstrate how one can proceed to position without reverting to iterative and linearizing procedures such as Newton's or Least Squares approach.
収録刊行物
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- Earth, Planets and Space
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Earth, Planets and Space 55 (7), 387-394, 2003
地球電磁気・地球惑星圏学会 、公益社団法人 日本地震学会、特定非営利活動法人 日本火山学会、日本測地学会、日本惑星科学会
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詳細情報 詳細情報について
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- CRID
- 1390282681490538624
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- NII論文ID
- 10011769210
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- NII書誌ID
- AA11211921
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- ISSN
- 18805981
- 13438832
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- NDL書誌ID
- 6686686
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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