Open AccessDifferent Approaches to Coordinate Transformation Parameters Determination of Nonhomogeneous Coordinate Systems
Author(s) -
Roman Shults,
Asset Urazaliev,
Andriy Annenkov,
O. N. Nesterenko,
Oksana Kucherenko,
Kateryna Kim
Publication year - 2020
Publication title -
environmental engineering
Language(s) - English
Resource type - Conference proceedings
ISSN - 2029-7092
DOI - 10.3846/enviro.2020.687
Subject(s) - coordinate system , transformation (genetics) , geodetic datum , conformal map , affine transformation , elliptic coordinate system , geographic coordinate conversion , computer science , delaunay triangulation , affine coordinate system , triangulation , transformation matrix , model transformation , algorithm , mathematics , geodesy , geometry , kinematics , artificial intelligence , geography , affine space , consistency (knowledge bases) , biochemistry , chemistry , physics , classical mechanics , gene
During reconstruction and restoration of city geodetic networks, there is quite a common problem that isrelated to the nonhomogeneity of existing geodetic networks. In any city, local authorities operate with their coordinatesystems. Such conditions lead to inconsistency between data of different services. There is only one way how toovercome the problem that lies in the creation and deployment of the new common coordinate system for the wholecity. But such an approach has a lack connected with the necessity of transformation parameters acquisition for the latestand old coordinate systems. Insofar as old coordinate systems had been created with different accuracy, using variousequipment, and measuring technologies, it is not possible to consider them as homogeneous. It means that we cannotuse a classical conformal Helmert transformation to link different coordinate systems. In the presented paper werestudied the different approaches for transformation parameters acquisition. A case study of the Almaty city coordinatesystem was researched and compared the following methods: Helmert transformation, bilinear transformation, thesecond and third-order regression transformation, and the fourth-order conformal polynomial transformation. It wasfound out that neither of the considered methods maintains the necessary transformation accuracy (>5 cm). That is whythe creation of the transformation field using the finite element method (FEM) was suggested. The whole city wasdivided into triangles using Delaunay triangulation. For each triangle, the transformation parameters were found usingaffine transformation with the necessary accuracy.