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Open Access Published by De Gruyter Open Access February 22, 2012

A numerical method for solving the horizontal resection problem in Surveying

  • D. Dekov

A numerical method for solving the horizontal resection problem in Surveying

The three-point resection problem, i.e., the problem of obtaining the position of an unknown point from relative angular measurements to three known stations is a basic operation in surveying engineering. In the last centuries, a number of approaches to solve this problem have been developed. In this note, a new numerical approach to solve this problem is presented. The method uses only basic formulae from coordinate geometry. We present also numerical simulations that show the good performance and accuracy of this approach.



References

Burtch R., 2005, Three point resection problem. Surveying computations course notes 2005/2006 http://www.ferris.edu/faculty/burtchr/sure215/notes/resection.pdfSearch in Google Scholar

Font-Llagunes J. M., Batlle A. 2009, New Method That Solves the Three-Point Resection Problem Using Straight Lines Intersection, J. Surv. Eng. 135(2), 39-4510.1061/(ASCE)0733-9453(2009)135:2(39)Search in Google Scholar

Freudenthal H, 1968, Mathematik in Wissenschaft und Alltag, (Kindler Verlag, München)Search in Google Scholar

Klinkenberg H. 1955, Coordinate systems and the three-point problem, Can. Surveyor 9, 508-51810.1139/tcs-1955-0025Search in Google Scholar

Published Online: 2012-2-22
Published in Print: 2012-1-1

This content is open access.

Downloaded on 24.9.2023 from https://www.degruyter.com/document/doi/10.2478/v10156-011-0026-7/html
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