Evaluation of calibration results using the least median of squares method in the case of linear multivariate models

Buchczik, Dariusz; Ilewicz, Witold

doi:10.1109/mmar.2016.7575239

Cited by 10 publications

(4 citation statements)

References 7 publications

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“…Other calibration methods, such as multi-point calibration, can also be applied. Then, the parameters of the model may be calculated using least squares or least median of squares methods [ 7 , 8 , 9 ]. Contemporary instruments dedicated for pH measurement, called pH-meters or ion-meters, provide very-high input impedance measurement of electrode potentials and calibration procedures.…”

Section: Potentiometric Principlesmentioning

confidence: 99%

Measurement Uncertainty Calculations for pH Value Obtained by an Ion-Selective Electrode

Wiora

2018

Sensors

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An assessment of measurement uncertainty is a task, which has to be the final step of every chemical assay. Apart from a commonly applied typical assessment method, Monte Carlo (MC) simulations may be used. The simulations are frequently performed by a computer program, which has to be written, and therefore some programming skills are required. It is also possible to use a commonly known spreadsheet and perform such simulations without writing any code. Commercial programs dedicated for the purpose are also available. In order to show the advantages and disadvantages of the ways of uncertainty evaluation, i.e., the typical method, the MC method implemented in a program and in a spreadsheet, and commercial programs, a case of pH measurement after two-point calibration is considered in this article. The ways differ in the required mathematical transformations, degrees of software usage, the time spent for the uncertainty calculations, and cost of software. Since analysts may have different mathematical and coding skills and practice, it is impossible to point out the best way of uncertainty assessment—all of them are just as good and give comparable assessments.

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Section: Potentiometric Principlesmentioning

confidence: 99%

Measurement Uncertainty Calculations for pH Value Obtained by an Ion-Selective Electrode

Wiora

2018

Sensors

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“…This method is based on the assumption that the processed material at different mass transported through the pipelines from the mill will produce different vibrations which can be measured with small, not expensive and non-invasive vibration sensors. Issues related to the calibration of the sensors must be taken into account [9]. Obtained results of measurement should include information about their quality in the form of uncertainty [10].…”

Section: Related Workmentioning

confidence: 99%

“…In consequence, the grain size of the final product can be used as a feedback to the mill control system and can be used as a source of information about possible faults in the process. In Figure 1, the scheme of the electromagnetic mill used in the experiments has been presented, including main elements such as: material stream (1), working chamber (2), working space (3), air stream and additional air stream (4), final product (5), reverse stream (6), stream of the not grinded material (7), winding inductor and cooling medium (8), source of the air (9). The proposed method of indirect quality evaluation is a part of the main classification module (dotted line).…”

Section: Introductionmentioning

confidence: 99%

Grain size determination and classification using adaptive image segmentation with shape information for milling quality evaluation

Budzan

Pawełczyk

2018

Diagnostyka

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In this paper, authors described methods of material granularity evaluation and a novel method for grain size determination with inline electromagnetic mill device diagnostics. The milling process quality evaluation can be carried out with vibration measurements, analysis of the milling material images or well-known screening machines. The method proposed in this paper is developed to the online examination of the milled product during the milling process using real-time digital images. In this paper, authors concentrated their work on copper ore milling process. Determination of the total number of the grain, the size of each grain, also the classification of the grains are the main goal of the developed method. In the proposed method the vision camera with lightning mounted at two assumed angles has been used. The detection of the grains has been based on an adaptive segmentation algorithm, improved with distance transform to enhance grains detection. The information about particles shape and context is used to optimize the grain classification process in the next step. The final classification is based on the rule-based method with defined particle shape and size parameters.

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“…The optimal equation coefficients a, b, c, d are obtained by least squares method [23,24]. In order to get more accurate extrinsic parameters and , we take many groups of pictures to do the same operation above.…”

Section: Color Cameramentioning

confidence: 99%

Vision System of Mobile Robot Combining Binocular and Depth Cameras

2017

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In order to optimize the three-dimensional (3D) reconstruction and obtain more precise actual distances of the object, a 3D reconstruction system combining binocular and depth cameras is proposed in this paper. The whole system consists of two identical color cameras, a TOF depth camera, an image processing host, a mobile robot control host, and a mobile robot. Because of structural constraints, the resolution of TOF depth camera is very low, which difficultly meets the requirement of trajectory planning. The resolution of binocular stereo cameras can be very high, but the effect of stereo matching is not ideal for low-texture scenes. Hence binocular stereo cameras also difficultly meet the requirements of high accuracy. In this paper, the proposed system integrates depth camera and stereo matching to improve the precision of the 3D reconstruction. Moreover, a double threads processing method is applied to improve the efficiency of the system. The experimental results show that the system can effectively improve the accuracy of 3D reconstruction, identify the distance from the camera accurately, and achieve the strategy of trajectory planning.

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Evaluation of calibration results using the least median of squares method in the case of linear multivariate models

Cited by 10 publications

References 7 publications

Measurement Uncertainty Calculations for pH Value Obtained by an Ion-Selective Electrode

Measurement Uncertainty Calculations for pH Value Obtained by an Ion-Selective Electrode

Grain size determination and classification using adaptive image segmentation with shape information for milling quality evaluation

Vision System of Mobile Robot Combining Binocular and Depth Cameras

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