Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Simple computation of coordinates and uncertainty of ‘hidden’ points from two coordinated points that are collinear with the hidden point
University West, Department of Engineering Science, Division of Mathematics, Computer and Surveying Engineering. Faculty of Engineering and Sustainable Development, University of Gävle, Gävle (SWE).ORCID iD: 0000-0003-4747-2446
2022 (English)In: Survey review - Directorate of Overseas Surveys, ISSN 0039-6265, E-ISSN 1752-2706, Vol. 54, no 387, p. 543-553Article in journal (Refereed) Published
Abstract [en]

Estimating the measurement uncertainties of coordinates of points that are not accessible by direct geodetic surveying (hidden points) is the topic of this study. The simplicity by which the uncertainties can be found for such hidden points when practicing indirect observations by total station or by Global Navigation Satellite System (GNSS) is demonstrated. A three-dimensional solution is obtained by total station observations using a two-prism hidden-point rod and a two-dimensional solution by GNSS observations on the ground. An intention with the study is that methods and results should apply for general geodetic purposes, like engineering surveying. The derived uncertainty formulae have been verified by Monte Carlo simulations. An important finding is their geometric dependence by the quotient between the two distances involved when two coordinated points are collinear with a third hidden point.

Place, publisher, year, edition, pages
2022. Vol. 54, no 387, p. 543-553
Keywords [en]
Hidden point, Closed-form formula, Collinearity, Two-prism hidden-point rod, Monte Carlo simulation
National Category
Geophysics Other Earth and Related Environmental Sciences
Identifiers
URN: urn:nbn:se:hv:diva-17979DOI: 10.1080/00396265.2021.1991174ISI: 000716814400001Scopus ID: 2-s2.0-85119117018OAI: oai:DiVA.org:hv-17979DiVA, id: diva2:1623670
Available from: 2021-12-30 Created: 2021-12-30 Last updated: 2023-01-25

Open Access in DiVA

T&F(1404 kB)355 downloads
File information
File name FULLTEXT01.pdfFile size 1404 kBChecksum SHA-512
20266def39b451bc53573d43d99464c41e964887aeea9f847b2447e374c234ac18af5c6992662b6c549b8db03ee65a1b54f22c723abd2f494a18573fbe52caf0
Type fulltextMimetype application/pdf

Other links

Publisher's full textScopus

Authority records

Mårtensson, Stig-Göran

Search in DiVA

By author/editor
Mårtensson, Stig-Göran
By organisation
Division of Mathematics, Computer and Surveying Engineering
In the same journal
Survey review - Directorate of Overseas Surveys
GeophysicsOther Earth and Related Environmental Sciences

Search outside of DiVA

GoogleGoogle Scholar
Total: 355 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 71 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf