Combined measurements – A way to improve the measurement accuracy of an additive quantity

Siuda, R.; Grabowski, Andrzej

doi:10.1016/j.measurement.2012.01.021

Cited by 10 publications

(16 citation statements)

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“…In Siuda and Grabowski (2012); Wiora et al (2013), a combined measurement method has been proposed that improves the measurement accuracy of additive quantities. Additivity of a quantity means that it must satisfy the following distribution rule: if an object o, characterized by the value x of a quantity X, can be divided into n parts o 1 , .…”

Section: Introductionmentioning

confidence: 99%

“…Examples of additive quantities are mass, length, DC voltage, etc. In Wiora et al (2016), the proposed approach in Siuda and Grabowski (2012) has been extended to the case of heteroscedasticity by means of applying the weighted least squares. The method provides resulting uncertainty is less than that assessed directly from experiments using Type B uncertainty evaluation.…”

Section: Introductionmentioning

confidence: 99%

“…The method provides resulting uncertainty is less than that assessed directly from experiments using Type B uncertainty evaluation. The references (Siuda and Grabowski, 2012;Wiora et al, 2013;Wiora et al, 2016) lack a formal justification for the fact that the method always leads to a decrease in the estimates uncertainty of the measured values.…”

Section: Introductionmentioning

confidence: 99%

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Accuracy enhancement of measurand estimate on the base of additive combined measurements

Muravyov

2020

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Purpose The paper aims to develop a method for improving the accuracy of smart sensors (deemed as digital measuring instruments) by organizing combined measurements and processing their results by the parametric adjustment method at heterogeneous dispersion of the random error of the applied regression model. Design/methodology/approach When carrying out combined measurements, the problem of joint processing of measurement results of functionally related quantities must be solved. The function type can be known in advance or obtained experimentally. The number of combined measurements exceeds the number of unknown measured quantities. The redundant measurements can improve the accuracy of estimates of measured values but lead to inconsistency of the measurement results. The problem of inconsistency is solved by the parametric adjustment method, which is rather widely used mainly in the field of geodetic measurements, wherein the parametric equations are linear and the measured quantities are additive. Findings The proposed method allows to reduce the uncertainty of type B of a measurement result, caused by the maximum permissible error of a digital measuring instrument, by 1.2–4 times in comparison with the direct estimation method. Originality/value A compact description of the parametric adjustment method in matrix form is given. Recommendations are given on shaping a sensitivity matrix of functions for the proposed method. The geometric interpretation of the proposed method is considered. The results of the proposed method experimental testing are given when evaluating resistance values.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Accuracy enhancement of measurand estimate on the base of additive combined measurements

Muravyov

2020

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“…Generally, two calibrating methods are widely used. One is known as integrated calibration method [5,6]. In this method, errors are solved and optimized by employing the least square method based on calibration results.…”

Section: Introductionmentioning

confidence: 99%

“…This method is easy and simple to implement, but its accuracy is low. Another way is the separated calibration method [6,7]. It calibrates the error parameters by rigorous calibration procedures.…”

Section: Introductionmentioning

confidence: 99%

The calibration and error compensation techniques for an Articulated Arm CMM with two parallel rotational axes

Chen

Qiu

2013

Measurement

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Vision-based real-time position control of a semi-automated system for robot-assisted joint fracture surgery

et al. 2015

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Abstract:Purpose: Joint fracture surgery quality can be improved by robotic system with high accuracy and repeatability fracture fragment manipulation. A new real-time vision-based system for fragment manipulation during robotassisted fracture surgery was developed and tested. Methods:The control strategy was accomplished by merging fast open-loop control with vision-based control. This two-phase process is designed to eliminate the open-loop positioning errors by closing the control loop using visualfeedback provided by an optical tracking system. Evaluation of the control system accuracy was performed using robot positioning trials, and fracture reduction accuracy was tested in trials on ex-vivo porcine model. Results:The system resulted in high fracture reduction reliability with a reduction accuracy of 0.09mm (translations) and of 0.15° (rotations), maximum observed errors in the order of 0.12mm (translations) and of 0.18° (rotations), and a reduction repeatability of 0.02mm and 0.03°. Conclusions:The proposed vision-based system was shown to be effective and suitable for real joint fracture surgical procedures, contributing a potential improvement of their quality.

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Combined measurements – A way to improve the measurement accuracy of an additive quantity

Cited by 10 publications

References 0 publications

Accuracy enhancement of measurand estimate on the base of additive combined measurements

Accuracy enhancement of measurand estimate on the base of additive combined measurements

The calibration and error compensation techniques for an Articulated Arm CMM with two parallel rotational axes

Vision-based real-time position control of a semi-automated system for robot-assisted joint fracture surgery

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