大旋转角空间直角坐标转换改进模型研究

针对大旋转角三维坐标转换模型法方程系数阵病态的问题，提出中心化和自适应缩放相结合的改进模型。结合算例分析，验证了该模型能显著改善法方程系数矩阵病态性，转换参数结果稳定可靠，优于现有模型。

Study on an Improved Model for Ill-Conditioned Three-Dimensional Coordinate Transformation with Big Rotation Angles

To solve the problem of ill-conditioned normal equation coefficient matrix for big rotation angle’s three-dimensional coordinate transformation model, an improved model is put forward, based on coordinate centralization combined with adaptive scaling. Through analysis of an example, it is verified that the ill-conditioned normal equation coefficient matrix can effectively be improved with the model, with results that are more reliable than the existing model.