TECHNICAL PAPERS
Nov 1, 1989

Free Net Analysis under Squared Error Loss

Publication: Journal of Surveying Engineering
Volume 115, Issue 4

Abstract

It is often desirable, especially in deformation surveys, to use a free net adjustment where minimal control is used. An alternative view of free net analysis is provided using the squared error loss criterion and compared to the conventional methodology of deleting appropriate columns of the design matrix when implementing minimal constraints. Both methods are shown to be special cases of a generalized free net adjustment.

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References

1.
Fraser, C. S. (1984). “Network design considerations for non‐topographic photogrammetry.” Photogrammetric Engrg. and Remote Sensing, 50, 1115–1125.
2.
Leick, A. (1982). “Minimal constraints in two‐dimensional networks,” J. Surveying and Mapping Div., ASCE, 108(2), 53–68.
3.
Pope, A. J. (1971). “Transformation of covariance matrices due to changes in minimal control.” Presented at Amer. Geophysical Union Fall Meeting, San Francisco, Calif.
4.
Tan, W. (1988). “Some design considerations using the bundle considerations.” Australian Surveyor.
5.
Tyler, D. A. (1987). “Position tolerance in land surveying.” J. Surveying Engrg., 113(3), 152–163.

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Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 115Issue 4November 1989
Pages: 373 - 379

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Published online: Nov 1, 1989
Published in print: Nov 1989

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Authors

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Willie Tan
Dept. of Urban and Regional Planning, Univ. of Sydney, Sydney, NSW 2006, Australia; on leave from School of Building and Estate Mgmt., National Univ. of Singapore, Kent Ridge, 0511, Singapore

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