TECHNICAL PAPERS
Nov 1, 1989
Free Net Analysis under Squared Error Loss
Author: Willie TanAuthor Affiliations
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
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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.
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Tyler, D. A. (1987). “Position tolerance in land surveying.” J. Surveying Engrg., 113(3), 152–163.
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Copyright © 1989 ASCE.
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Published online: Nov 1, 1989
Published in print: Nov 1989
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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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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.