TY - JOUR N2 - 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 "-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. L1 - http://www.journals.pan.pl/Content/111960/PDF/04_MMS-2019-2_06-12.pdf L2 - http://www.journals.pan.pl/Content/111960 PY - 2019 IS - No 2 EP - 266 DO - 10.24425/mms.2019.128353 KW - reduction KW - OptD method KW - optimization KW - LiDAR A1 - Błaszczak-Bąk, Wioleta A1 - Sobieraj-Żłobińska, Anna A1 - Kowalik, Michał PB - Polish Academy of Sciences Committee on Metrology and Scientific Instrumentation VL - vol. 26 DA - 2019.06.25 T1 - Multi-objective optimization problem in the OptD-multi method SP - 253 UR - http://www.journals.pan.pl/dlibra/publication/edition/111960 T2 - Metrology and Measurement Systems ER -