Research Article
Aug 1982
Minimal Constraints in Two-Dimensional Networks
Publication: Journal of the Surveying and Mapping Division
Volume 108, Issue 2
Abstract
The use of coordinates in the adjustment of two-dimensional networks leads to inherently singular solutions. Various minimal constraints are applied to eliminate the singularity. The variant and invariant quantities, with respect to a choice of minimal constraints, are identified. Inner constraints, which constitute a subset of all sets of minimal constraints, are useful in displaying the internal network geometry through error ellipses whose size, shape and orientation are independent of the definition of the coordinate system. Inner constraint solutions are helpful in simulation studies where the optimum station locations and observing program are investigated. Any minimal constraint solution can be used for checking the quality of observations and the detection of blunders.
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Published In
Journal of the Surveying and Mapping Division
Volume 108 • Issue 2 • August 1982
Pages: 53 - 68
Copyright
© 1982 American Society of Civil Engineers.
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Published in print: Aug 1982
Published online: Feb 12, 2021
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Authors
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Alfred Leick, AM.ASCE
Asst. Prof., Dept. of Civ. Engrg., Univ. of Maine, Surveying Engrg. Program, Orono, Me. 04469
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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.