Simple computation of coordinates and uncertainty of ‘hidden’ points from two coordinated points that are collinear with the hidden point

Mårtensson, Stig-Göran

doi:10.1080/00396265.2021.1991174

Cited by 2 publications

(1 citation statement)

References 4 publications

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“…Nevertheless, surveyors and engineers often express measures only by providing their estimation but not including the expanded uncertainty. This cannot be considered an adequate practice, given that knowing the uncertainty helps to avoid budget deviations and it is not in accordance with GUM, as highlighted by several authors [15,16]. Indirect measurement is the usual way to measure magnitudes in surveying.…”

Section: Introductionmentioning

confidence: 99%

Uncertainties estimation in surveying measurands: application to volumes

Covián,

Puente,

Casero

et al. 2024

Meas. Sci. Technol.

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Volume represents a measurand of great interest in civil engineering and construction works. The estimation of this measurand is a problem already solved by surveying engineering, but the quantification of its uncertainty has been overlooked. As a result, the inaccurate estimation of the volume can lead to significant deviations in the execution costs of earthworks. Moreover, it is not possible to comply with the internationally accepted requirements concerning the expression of measures with an indication of its uncertainty, i.e., the guidelines of the BIPM (Bureau International des Poids et Mesures). In this context, this paper presents a methodology for the quantification of uncertainty in the surveying measurement of volumes, which is generally carried out through digital terrain models processed by CAD or specific surveying software. Two methods for volume estimation are presented and the variance-covariance propagation laws are applied to each of them, leading to the computation of volume uncertainty from measures of position coordinates for which uncertainties are known. Then, the developed methods for uncertainty estimation are successfully tested in different scenarios. The conceptual and mathematical developments for the uncertainty quantification in the computation of volumes resulted in closed-form algorithms implemented in MATLAB that can be potentially incorporated into commercial surveying software.

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Section: Introductionmentioning

confidence: 99%

Uncertainties estimation in surveying measurands: application to volumes

Covián,

Puente,

Casero

et al. 2024

Meas. Sci. Technol.

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Dimensional measurements in the shipbuilding industry: on-site comparison of a state-of-the-art laser tracker, total station and laser scanner

Maisano

Mastrogiacomo

Franceschini

et al. 2022

Prod. Eng. Res. Devel.

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Thanks to recent technological innovations, some large-volume-metrology measuring instruments—that would have been considered out of context one/two decades ago—are now effective for the shipbuilding industry, where dimensional errors of a few millimetres are generally tolerated. This paper considers three state-of-the-art instruments: a laser tracker, a total station, and a laser scanner, all with the latest generation of technology. While the first instrument type has long been widespread for applications in industrial metrology, the last two have traditionally been used in other fields, such as as-built surveying, civil engineering, architecture and topography. Instruments are compared using experimental tests concerning the dimensional verification of cruise-ship modules in the relatively under-explored context of the construction of the hull, which represents the ship’s framework. The comparison is structured based on several qualitative and quantitative criteria, including but not limited to (i) simplicity of use for operator(s), (ii) time of acquisition/analysis of measurement data, (iii) metrological performance, and (iv) cost. The main contribution of this article is the on-site testing of instruments of interest, in the typical (unfavourable) working conditions of shipyards.

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Simple computation of coordinates and uncertainty of ‘hidden’ points from two coordinated points that are collinear with the hidden point

Cited by 2 publications

References 4 publications

Uncertainties estimation in surveying measurands: application to volumes

Uncertainties estimation in surveying measurands: application to volumes

Dimensional measurements in the shipbuilding industry: on-site comparison of a state-of-the-art laser tracker, total station and laser scanner

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