罗德里格矩阵在三维坐标转换中的应用研究

Applied Research of 3D Coordinate Conversion Model Based on Rodrig Matrix

利用反对称矩阵和罗德里格矩阵的性质,把传统旋转角参数用反对称矩阵的3个独立元素代替,推导了用三个公共点坐标计算7个参数的公式,并建立了相应的平差模型。并通过实测数据,验证了该方法的可行性。

By taking advantage of antisymmetric matrix and Rodrig matrix, the conventional rotary angle parameter was re- placed by an independent element in antisymmetric matrix. A formula for calculating the seven parameters with three com- mon points were deduced and the correspondent adjustment model was set up. Then, in actual examples, by comparing with the traditional ways, the author proves that this new way is feasible