Squared Msplit Estimation in Deformation Analysis – 2D Geodetic Network Case Study

Pleterski, Žan (author), Ambrožič, Tomaž (author), Mulahusić, Admir (author), Tuno, Nedim (author), Topoljak, Jusuf (author), Hajdar, Amir (author), Hamzić, Adis (author), Đidelija, Muamer (author), Kulo, Nedim (author), Rak, Gašper (author), Marjetič, Aleš (author), Kregar, Klemen (author)

Deformation analysis is a complex procedure where, based on several periodic geodetic measurements, displacements of points in the geodetic network are detected and determined. On this basis, movements and deformations of the built and natural environment are detected. The article discusses the Squared Msplit estimation, an extension of the maximum likelihood method, which is one of the procedures used in deformation analysis. The equations of the Squared Msplit estimation are derived and the method is presented on 2D geodetic network case study. The effectiveness of the presented method is compared with the results of other deformation analysis approaches performed with the same numerical example. The results obtained using the Squared Msplit estimation slightly differ from the simulated values, with the maximum discrepancy being 11.5 mm at unstable points and 10.4 mm at stable points, which are satisfactory results. T he findings indicate that the Squared Msplit estimation provides results comparable to other methods. Therefore, it is considered suitable for deformation analysis and can be regarded as one of the applicable procedures in this field.

• Language: English
• Keywords: deformation analysis, geodetic surveys, Squared Msplit estimation, iterative process, point displacement in the geodetic network
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Year: 2025
• Number of pages: Str. 115-147
• Numbering: Letn. 69, št. 2
• PID: 20.500.12556/RUL-171748
• UDC: 528.14:519.233
• ISSN on article: 0351-0271
• DOI: 10.15292/geodetski-vestnik.2025.02.115-147
• COBISS.SI-ID: 246828803
• Publication date in RUL: 01.09.2025

Record is a part of a journal

• Title: Geodetski vestnik : glasilo Zveze geodetov Slovenije
• Shortened title: Geod. vestn.
• Publisher: Zveza geodetov Slovenije
• ISSN: 0351-0271
• COBISS.SI-ID: 5091842

Licences

• License: CC BY-NC 4.0, Creative Commons Attribution-NonCommercial 4.0 International
• Link: http://creativecommons.org/licenses/by-nc/4.0/
• Description: A creative commons license that bans commercial use, but the users don’t have to license their derivative works on the same terms.

Secondary language

• Language: Slovenian
• Title: Kvadratna metoda Msplit v deformacijski analizi na primeru 2D geodetske mrež

Abstract

Deformacijska analiza je kompleksen postopek, kjer na podlagi vsaj dveh periodičnih izmer odkrivamo in določamo prostorske premike točk v obravnavani geodetski mreži. S tem ugotavljamo premike in deformacije grajenega in naravnega okolja. V članku je obravnavana kvadratna metoda Msplit , ki je nadgradnja metode največjega verjetja. Izpeljane so enačbe kvadratne metode Msplit . Podan je prikaz metode na testnem primeru 2D geodetske mreže po izpeljanih enačbah, dodatno je na istem testnem primeru izvedena še primerjalna analiza z rezultati drugih postopkov deformacijske analize. Rezultati kvadratne metode Msplit se nekoliko razlikujejo od simuliranih, največja razlika na točkah, ki so se premaknile, je 11,5 mm, na točkah, ki so pri miru, pa 10,4 mm, kar so zadovoljivi rezultati. Ugotavljamo, da kvadratna metoda Msplit vrne rezultate, primerljive drugim metodam, zato ocenjujemo, da je uporabna za deformacijsko analizo in je lahko eden od postopkov deformacijske analize.

• Keywords: deformacijska analiza, geodetska izmera, kvadratna metoda Msplit, iterativni postopek, premiki točk, geodetske mreže

Projects

• Funder: ARIS - Slovenian Research and Innovation Agency
• Project number: P2-0227-2018
• Name: Geoinformacijska infrastruktura in trajnostni prostorski razvoj Slovenije