Least-Squares Solution for Dangling-Line Case in Cadastral-Map Resurvey
Publication: Journal of Surveying Engineering
Volume 121, Issue 2
Abstract
A variety of practical problems have been experienced in the cadastral-map resurvey in Taiwan. One of them concerns the dangling boundary lines shared with a number of land parcels. Conventionally, this problem is resolved subjectively by the operator via graphic tools. An alternative solution based on the least-squares principle, thereby offering an objective means of assessment, is proposed and described in this study. The normal representation of a line is used to parameterize boundary segments. This formulation avoids the difficulty encountered with other representations, such as the slope-intercept equation. The formulation stated in this paper still remains nonlinear with respect to the unknown parameter(s). However, the convergence is quite stable in all numerical experiments conducted so far. Both the two-parameter and one-parameter cases are discussed.
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References
1.
Department of Interior. (1986). Land survey act . Republic of China.
2.
Land Administration. (1991). A briefing on land administration in the province of Taiwan. Province of Taiwan, Republic of China.
3.
Mikhail, E. M., and Gracie, G. (1981). Analysis and adjustment of survey measurements. Van Nostrand Reinhold, New York, N.Y.
4.
Moffitt, F. H., and Bouchard, H. (1982). Surveying, 7th Ed., Harper & Row, Publishers, Inc., New York, N.Y.
5.
Shih, H.-S. (1978). Plane Surveying. Department of Surveying Engineering, National Cheng Kung University, Taiwan, Republic of China.
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Copyright © 1995 American Society of Civil Engineers.
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Published online: May 1, 1995
Published in print: May 1995
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