This investigation implements a least-squares methodology to fit a triaxial ellipsoid to a set of three-dimensional Cartesian coordinates obtained from present-day geospatial techniques, materializing the terrestrial frame ITRF2014. To approximate, as much as possible previous research on this topic, the original spatial values of the station coordinates were “reduced” to the surface of the EGM2008 geoid model by introducing a simple and straightforward procedure. The mathematical model adopted in all LS solutions is the standard quadric surface polynomial equation parameterizing a triaxial ellipsoid. Functionally related to these polynomial coefficients are nine geometric parameters: the three ellipsoid semi-axes, its origin location with respect to the current conventional geocentric terrestrial frame, and the three rotations defining its spatial orientation. The final results are compatible with the pioneering work started by Burša in 1970 and, lately, by a recent publication by Panou and colleagues in that incorporates updated geoid models.

这项研究采用最小二乘法，将三轴椭球体拟合到从当今地理空间技术获得的一组三维笛卡尔坐标上，从而实现了地面框架ITRF2014。为了尽可能多地对此主题进行先前的研究，通过引入一个简单直接的过程，将站坐标的原始空间值“减少”到EGM2008大地水准面模型的表面。在所有LS解决方案中采用的数学模型是参数化三轴椭圆体的标准二次曲面多项式方程。与这些多项式系数在功能上相关的是九个几何参数：三个椭圆形半轴，相对于当前常规地心地球框架的原点位置，和三个旋转定义其空间方向。最终结果与布尔萨（Burša）于1970年开始的开创性工作，以及最近帕努（Panou）及其同事最近发表的关于更新大地水准面模型的出版物相吻合。