TECHNICAL PAPERS
Jun 1, 1986

Rigorous Densification of Horizontal Network

Publication: Journal of Surveying Engineering
Volume 112, Issue 1

Abstract

Statistically rigorous densification of horizontal geodetic networks must consist of a simultaneous adjustment of both the densification and the densified networks. Equivalently, the effect of the already adjusted (existing) network to be densified may be rigorously propagated into the densification network, through an appropriately derived weight matrix of the common station positions. The nonrigorous schemes utilize information available on the existing network in a statistically nonrigorous way. In this paper, two main statistically nonrigorous schemes used in practice are recognized. Their results, both mathematical and numerical, are compared to results obtained rigorously. A way to convert the nonrigorous results into rigorous ones practically and economically is also shown.

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References

1.
Blaha, G., “Influence de l'lncertitude des Parametres, Tenus Fixes dans une Compensation sur la Propagation des Variance‐Covariance,” Bulletin Géodésique, No. 113, 1974, pp. 307–315.
2.
Blaha, G., “Free Networks: Minimum Norm Solution as Obtained by the Inner Adjustment Constraint Method,” Bulletin Géodésique, No. 56, 1982, pp. 209–219.
3.
Lugoe, F. N., “Rigorous Densification of Horizontal Geodetic Networks,” thesis presented to the Univ. of New Brunswick, at Fredericton, Canada, in 1985, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
4.
Nickerson, B. G., and Knight, W. R., “LRIS Ellipsoidal Adjustment Package (LEAP) Computation Improvement,” final contract report for the Land Registration and Information Service, Fredericton, N.B., Canada, 1983.
5.
Papo, H. B., “Considered Parameters in a Least‐Squares Adjustment Process,” Bulletin Géodésique, No. 107, 1973, pp. 89–95.
6.
“Specifications and Recommendations for Control Surveys and Survey Markers,” Department of Energy, Mines and Resources, Surveys and Mapping Branch, Ottawa, Canada, 1978.
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Vaníček, P., and Krakiwsky, E. J., “Geodesy: The Concepts,” North‐Holland, Amsterdam, The Netherlands, 1982.

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Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 112Issue 1June 1986
Pages: 18 - 29

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Published online: Jun 1, 1986
Published in print: Jun 1986

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Authors

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Petr Vaníček
Prof., Dept. of Surveying Engrg., Univ. of New Brunswick, Fredericton, NB, Canada
Furaha N. Lugoe
Lect., ARDHI Inst., Dar‐es‐Salaam, Tanzania

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