Technical Notes
Mar 10, 2016

Using the Global Spatial Data Model to Compute Combined Factors

Publication: Journal of Surveying Engineering
Volume 142, Issue 4

Abstract

It is increasingly popular in surveying to accommodate the grid/ground distance difference associated with map projections by adopting what is called a low-distortion projection (LDP) for a specific area. The advantage is that the LDP distance between a pair of plane coordinates will match the horizontal ground distance within a predetermined tolerance. With a tolerance limit in hand, design parameters for a LDP need to accommodate a range of elevation in the area while maximizing the geographical area to be covered. Typical LDP applications include a city, a county, or some other specified area. Regardless of whether using an existing state plane coordinate (SPC) map projection or a LDP, the combined factor reflects the distance distortion for a line and can be defined as the ratio of the grid inverse distance divided by the corresponding horizontal ground distance. This article describes use of the global spatial data model (GSDM) to compute a closed-form combined factor for a given line.

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Acknowledgments

The author is indebted to the editor and unnamed reviewers who asked probing questions and made excellent suggestions to improve the manuscript.

References

Armstrong, M. L., Singh, R., and Dennis, M. L. (2014). Oregon coordinate system reference system handbook and user guide, Oregon Dept. of Transportation, Salem, OR. 〈ftp://ftp.odot.state.or.us/ORGN/Documents/ocrs_handbook_user_guide.pdf〉.
Burkholder, E. F. (1980). “The Michigan scale factor.” Technical Papers, ACSM-ASP Convention, ACSM 40th Annual Meeting, American Congress on Surveying and Mapping, Falls Church, VA, 180–194.
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Burkholder, E. F. (1997). Definition and description of a global spatial data model (GSDM), U.S. Copyright Office, Washington, DC. 〈http://www.globalcogo.com/gsdmdefn.pdf〉.
Burkholder, E. F. (2004). “Accuracy of elevation reduction factor.” J. Surv. Eng., 134–137.
Burkholder, E. F. (2008). The 3-D global spatial data model: Foundation of the spatial data infrastructure, CRC Press, Boca Raton, FL.
Stem, J. E. (1989). “State Plane Coordinate System of 1983.” NOAA Manual NOS NGS 5, National Oceanic and Atmospheric Administration, Rockville, MD.
U.S. Department of Commerce. (1969). “Plane coordinate intersection tables, Michigan (Lambert).” Publication 65-1, Part 52, Environmental Science Services Administration, Coast & Geodetic Survey, Washington, DC. 〈http://docs.lib.noaa.gov/rescue/cgs_specpubs/QB275U352no65-1pt52.pdf〉.

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Published In

Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 142Issue 4November 2016

History

Received: Oct 6, 2015
Accepted: Jan 26, 2016
Published online: Mar 10, 2016
Discussion open until: Aug 10, 2016
Published in print: Nov 1, 2016

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Authors

Affiliations

Earl F. Burkholder, F.ASCE [email protected]
P.E.
Founder, Global COGO, Inc., P.O. Box 3162, Las Cruces, NM 88003; Faculty Emeritus, New Mexico State University, 1780 E. University Ave., Las Cruces, NM 88003. E-mail: [email protected]; [email protected]

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