The Best Robust Estimation Method to Determine Local Surface

Borowski, Łukasz; Banas, Marek

doi:10.22364/bjmc.2019.7.4.06

Cited by 5 publications

(3 citation statements)

References 16 publications

(15 reference statements)

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“…Through the years many interpolation methods have been involved in generating conversion surfaces (in local and regional scales) enabling transition between geometric and physical heights, e.g., polynomial regression (Borowski and Banaś, 2019;Gucek and Bašić, 2009;Kim et al, 2018;Zhong, 1997), neural networks (Aky-ilmaz et al, 2009;Kaloop et al, 2021), geographically weighted regression (Dawod and Abdel-Aziz, 2020), kriging (Ligas and Szombara, 2018;Orejuela et al, 2021), least-squares collocation (LSC) (You, 2006), Inverse Distance Weighting (IDW) (Radanović and Bašić, 2018) to mention only a few. Very often, conversion surfaces take the form of corrector surfaces due to the use of global geopotential models or gravimetric models generated prior to eliminating inconsistencies by fitting to GNSS/levelling data (Elshambaky, 2018;You, 2006).…”

Section: Introductionmentioning

confidence: 99%

A crossvalidation-based comparison of kriging and IDW in local GNSS/levelling quasigeoid modelling

Ligas

Lucki

Banasik

2022

Reports on Geodesy and Geoinformatics

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This study compares two interpolation methods in the problem of a local GNSS/levelling (quasi) geoid modelling. It uses raw data, no global geopotential model is involved. The methods differ as to the complexity of modelling procedure and theoretical background, they are ordinary kriging/least-squares collocation with constant trend and inverse distance weighting (IDW). The comparison itself was done through leave-one-out and random (Monte Carlo) cross-validation. Ordinary kriging and IDW performance was tested with a local (using limited number of data) and global (using all available data) neighbourhoods using various planar covariance function models in case of kriging and various exponents (power parameter) in case of IDW. For the study area both methods assure an overall accuracy level, measured by mean absolute error, root mean square error and median absolute error, of less than 1 cm. Although the method of IDW is much simpler, a suitably selected parameters (also trend removal) may contribute to differences between methods that are virtually negligible (fraction of a millimetre).

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Section: Introductionmentioning

confidence: 99%

A crossvalidation-based comparison of kriging and IDW in local GNSS/levelling quasigeoid modelling

Ligas

Lucki

Banasik

2022

Reports on Geodesy and Geoinformatics

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“…In the adjustment results, the correction values of the gross error and noise were too large. Using this characteristic, the weight of the observation value was adjusted according to the Danish weight function [35] (Equation ( 7)) and stopped until the set number of iterations was fulfilled or less than the set threshold.…”

Section: Iterative Optimal Ellipse Fittingmentioning

confidence: 99%

Shield Tunnel Convergence Diameter Detection Based on Self-Driven Mobile Laser Scanning

Gong

et al. 2022

Remote Sensing

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The convergence diameter of shield tunnels is detected by ellipse fitting or local curve fitting to cross-section points. However, the tunnel section, which is extruded by an external force, has an irregular elliptical shape, and the waist of the tunnel is often blocked by accessories, resulting in data loss. This study proposes a convergence diameter and radial dislocation detection method based on block-level fitting. The proposed method solves the accuracy degradation caused by the model error and point cloud incompletion. First, the noise points in the tunnel section point cloud are removed using the least trimmed squares method. Second, the tunnel transverse seam is then located using the image edge detection algorithm. Third, the endpoint of the convergence diameter is determined by making a specific segment the center and shifting the detector from the center to the pinpoint. Finally, the convergence diameter and radial dislocation are detected by the endpoints of the segments. The experimental results showed that the absolute detection accuracy of this method was better than 3 mm, and the repeated detection accuracy was better than 2 mm. This result is consistent with prior total station measurements, which are more suitable for practical engineering applications.

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“…Качество построения ЦМР как источника точной геопространственной информации [27][28][29] в том числе c исправлением высот по локальным моделям геоидов [30], напрямую зависит от его выбора [31][32][33]. Авторы работ [34][35][36] отмечают целесообразность применения следующих методов пространственной интерполяции для построения ЦМР [37][38][39]:…”

Section: Introductionunclassified

Determination procedure of linear parameters of movement processes from digital terrain models in Khibiny apatite–nepheline ore mining

Zherlygina,

Mustafin,

Vasiliev

et al. 2023

gzh

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Surveying of ground and underground movements aims to determine and adjust the displacement parameters, and the type and size of deformation of undermined objects. The authors describe application of digital terrain models to assess movement process parameters as a case-study of Khibiny apatite-nepheline ore mining. The possibility to determine linear parameters of movements in the ground surface area inaccessible using classical methods is illustrated. The source information was the aerial laser scanning data obtained in 2015 to 2020 in Rasvumchorr and Kukisvumchorr Mines. The data were classified using TerraSolid TerraScan tools. Then, the digital terrain models were constructed in Microstation. The further digital modeling of the terrain was carried out in Golden Software's Surfer with spatial resolution and some spatial interpolation techniques. Using the resultant digital models, the surfaces were constructed in Autodesk AutoCAD. The surfaces were used to draw cross-sections in the coordinate grid in Rhinoceros 6. Over the observation period from 2015 to 2020, by the authors' opinion, the method of kriging proved to be the best out of the methods tested in Rasvumchorr and Kukisvumchorr Mines. The method of spatial interpolation provided the least scatter of data, the lowest minimum and maximum deviations and the least mean square deviation in the majority of tests. The research findings allow expecting that the described methods can enable safe mining at the minimum time consumption.

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The Best Robust Estimation Method to Determine Local Surface

Cited by 5 publications

References 16 publications

A crossvalidation-based comparison of kriging and IDW in local GNSS/levelling quasigeoid modelling

A crossvalidation-based comparison of kriging and IDW in local GNSS/levelling quasigeoid modelling

Shield Tunnel Convergence Diameter Detection Based on Self-Driven Mobile Laser Scanning

Determination procedure of linear parameters of movement processes from digital terrain models in Khibiny apatite–nepheline ore mining

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