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Multi-objective optimization problem in the OptD-multi method

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Błaszczak-Bąk W. , Sobieraj-Żłobińska A. , Kowalik M.

Metrology and Measurement Systems

2019

tom Vol. 26, nr 2

253--266

New measurement technologies, e.g. Light Detection And Ranging (LiDAR), generate very large datasets. In many cases, it is reasonable to reduce the number of measuring points, but in such a way that the datasets after reduction satisfy specific optimization criteria. For this purpose the Optimum Dataset (OptD) method proposed in [1] and [2] can be applied. The OptD method with the use of several optimization criteria is called OptD-multi and it gives several acceptable solutions. The paper presents methods of selecting one best solution based on the assumptions of two selected numerical optimization methods: the weighted sum method and the ε-constraint method. The research was carried out on two measurement datasets from Airborne Laser Scanning (ALS) and Mobile Laser Scanning (MLS). The analysis have shown that it is possible to use numerical optimization methods (often used in construction) to obtain the LiDAR data. Both methods gave different results, they are determined by initially adopted assumptions and – in relation to early made findings, these results can be used instead of the original dataset for various studies.

Methodology for the measurement and 3D modelling of cultural heritage: a case study of the Monument to the Polish Diaspora Bond with the Homeland

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Suchocki C. , Okrój S. , Błaszczak-Bąk W.

tom Vol. 116

1--8

The documentation of cultural heritage objects requires a special approach, as does the collection of materials describing a monument over a period of time. With the development of measurement and information technologies, such documentation can be supplemented by a digital model of the object, a 3D visualization in a computer environment, or a miniature, scaled 3D printout. This paper presents a methodology for developing the 3D documentation of the Monument to the Polish Diaspora Bond with the Homeland, a sculpture located in Koszalin, Poland. In the study, terrestrial laser scanning supplemented with photos was used for non-invasive measurements, and existing free software was used to generate a 3D model. The results of the study can supplement the technical documentation of an object so as to preserve its characteristic features and ease the conservation of monuments. The proposed approach to modelling 3D monuments can be used to create HBIM documentation.