DETERMINATION OF BLACK SEA COASTLINE LENGTH WITH OBLIQUE STEREOGRAPHIC PROJECTION USING AFFINE TRANSFORMATION

Saziye Ozge Atik
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Abstract

The Black Sea basin has rich oil and natural gas resources. As a result, determining the continental shelf in international relations and maritime law is a critical issue for countries with a shoreline on the Black Sea, which is a semi-enclosed sea. Global projections are generally used for the projection of satellites used to image the earth. The use of global projections causes increased deformation in applications in local areas. For this reason, the deformation of satellite images used as a base can be reduced by converting them to the appropriate projection. In this study, the coastline lengths of the countries neighboring the Black Sea were calculated by using remote sensing images and selecting the appropriate cartographic projection due to the aim of minimum map deformation. By using different numbers of control points to determine the six parameters of the 2D Affine transformation used for coordinate transformation, the change in the accuracy of the transformation depending on the number of control points was examined. The Black Sea coastline, which was digitized in the local coordinate system via the MODIS satellite image, was transformed into coordinates in the oblique stereographic projection system with 2D affine transformation. 11 test points were used in the affine transformation parameters calculated using different control points, and root mean square error (RMSE) of approximately 6 km on the X axis and approximately 10 km on the Y axis was achieved using 25 control points. As a result of the transformation, the coastline lengths of each country bordering the Black Sea were determined in oblique stereographic projection.
利用仿射变换,通过斜立体投影确定黑海海岸线长度
黑海盆地拥有丰富的石油和天然气资源。因此,在国际关系和海事法中确定大陆架对于在黑海这个半封闭海域拥有海岸线的国家来说是一个至关重要的问题。全球预测通常用于卫星对地球成像的预测。在局部地区的应用中,使用全球投影会导致变形增加。因此,可以通过将卫星图像转换为适当的投影来减少作为基础的卫星图像的变形。本研究利用遥感图像计算了黑海周边国家的海岸线长度,并选择了适当的制图投影,目的是使地图变形最小。通过使用不同数量的控制点来确定用于坐标变换的二维阿芬变换的六个参数,研究了变换精度随控制点数量的变化。通过 MODIS 卫星图像在本地坐标系中数字化的黑海海岸线,通过二维仿射变换转换为斜立体投影系统中的坐标。在使用不同控制点计算的仿射变换参数中使用了 11 个测试点,在使用 25 个控制点的情况下,X 轴上的均方根误差(RMSE)约为 6 公里,Y 轴上的均方根误差(RMSE)约为 10 公里。经过变换,确定了黑海沿岸各国的斜立体投影海岸线长度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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