TECHNICAL PAPERS
Nov 1, 1995

Reliability of Polygonal Boundary of Land Parcel

Publication: Journal of Surveying Engineering
Volume 121, Issue 4

Abstract

Suppose a land parcel is described by a polygon having as vertices a set of points with coordinates determined by various measurement schemes. Due to measurement errors, however, the vertices are inexact, so that the boundary segments are not wholly reliable: points that appear to be inside, may in fact be outside the true parcel, and points that fall outside the measured parcel may in fact lie within the true parcel. This paper expresses the probability that a given point belongs to a true parcel and addresses simple schemes for approximating that value.

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References

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Gnedenko, B. V. (1962). The theory of probability . Chelsea Publ. Co., New York, N.Y.
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Hadley, G. (1962). Linear programming . Addison-Wesley, Reading, Mass.
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Hadley, G. (1964). Nonlinear and dynamic programming . Addison-Wesley, Reading, Mass.
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Mood, A., et al. (1974). Introduction to the theory of statistics . McGraw-Hill, New York, N.Y.
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Morrill, W. (1951). Analytic geometry . International Textbook Co., Scranton, Pa.
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Stanfel, L., and Stanfel, C.(1993). “A model for the reliability of a line segment connecting uncertain points.”Surv. and Land Information Systems, 53(1), 49–52.
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Stanfel, L., and Stanfel, C.(1994). “A generalization on line segment reliability measures.”Surv. and Land Information Systems, 54(1), 41–44.

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Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 121Issue 4November 1995
Pages: 163 - 176

History

Published online: Nov 1, 1995
Published in print: Nov 1995

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Authors

Affiliations

Larry E. Stanfel
Guest Res., Inst. for Informatics, Univ. of Bergen, 5020 Bergen, Norway.
Michael Conerly
Prof., Dept. of Mgmt. Sci. and Statistics, Univ. of Alabama, Tuscaloosa, AL 35487-0226.
Christine Stanfel
Grad. Student, Chemistry Dept., Stanford Univ., Stanford, CA 94305.

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