3D similarity transformations are often used for datum transformation in Geomatic Engineering. The
transformations are routinely performed between the point coordinates evaluated from GNSS (Global
Navigation Satellite Systems) observations and the point coordinates given in national datum. A mathematical
model established among two different 3D coordinate systems contains tree type datum parameters which are
translations, rotations and a scale. Coefficients of the parameters reflect large variations from each other’s. So,
the unknown coefficient matrix in normal equations is to be ill-conditioned. In this study, it is indicated how
the ill-condition structure is reduced to acceptable level by means of choosing at different unit of unknown
parameters. Finally, the transformation from Kocaeli Metropolitan Municipality GNSS network coordinates to
Turkish Geodetic Datum is used as a numerical example.
3D similarity transformation linear equation system ill-conditioning
Birincil Dil | İngilizce |
---|---|
Konular | Mühendislik |
Bölüm | Research Articles |
Yazarlar | |
Yayımlanma Tarihi | 2 Mart 2015 |
Yayımlandığı Sayı | Yıl 2015 Cilt: 2 Sayı: 1 |
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