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dc.contributor.authorAwange, Joseph
dc.contributor.authorFukuda, Y.
dc.contributor.authorTakemoto, S.
dc.contributor.authorAteya, I.
dc.contributor.authorGrafarend, E.
dc.identifier.citationAwange, Joseph and Fukuda, Yoichi and Takemoto, Shuzo and Ateya, Ismail and Grafarend, Erik. 2003. Ranging algebraically with more observations than unknowns. Earth, Planets and Space 55 (7): pp. 387-394.

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:, 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.

dc.publisherTerra Scientific Publishing Company
dc.titleRanging algebraically with more observations than unknowns
dc.typeJournal Article
dcterms.source.titleEarth, Planets and Space
curtin.accessStatusFulltext not available
curtin.facultyDepartment of Spatial Sciences
curtin.facultyFaculty of Science and Engineering
curtin.facultyWA School of Mines

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