An Analytical Solution of the Resection Problem
Publication: Journal of Surveying Engineering
Volume 112, Issue 1
Abstract
Resection, the three‐point problem, involves fixation of a new point when directions to three known points are observed from an unknown point. This paper presents an analytical solution to the problem which permits direct substitution of known and observed quantities into a simple formula to determine the coordinates of the unknown point.
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References
1.
Allan, A. L., Hollwey, J. R., and Maynes, J. H. B. (1973). Practical Field Surveying and Computations. Heineman, London, England.
2.
Allman, J. S. (1963). “Notes on Resection Computation,” The Australian Surveyor, V. 19, No. 3, Mar., pp. 278–293.
3.
Bunday, B. D. and Mulholland, H. (1977). Pure Mathematics for Advanced Level. Butterworths & Co. Pub. Ltd., London, England.
4.
Clark, D. (1957). Plane and Geodetic Surveying V. 1. Constable & Co. Ltd., London, England.
5.
Danial, N. F. (1978). “Another Solution of the Three‐Point Problem,” Surveying and Mapping, V. 38, Dec., pp. 329–333.
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Halliday, G. H. (1962). “Resection by the Graphical Board,” The Australian Surveyor, V. 19, No. 1, Mar., pp. 31–50.
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Richardus, P. (1966). Project Surveying, North‐Holland Pub. Co., Amsterdam, The Netherlands.
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Shepherd, F. A. (1981). Advanced Engineering Surveying. Thomson Litho Ltd., East Kilbride, Scotland.
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Copyright © 1986 ASCE.
History
Published online: Jun 1, 1986
Published in print: Jun 1986
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