Abstract

A new method for calculating three-dimensional (3D) coordinate transformation parameters of large Euler angles with closure constrain is presented. This method obtains the initial value by traditional seven-parameter model. Then we derive the closure constraint condition and linearize it. The constrained total least-squares (CTLS) approach is adopted to obtain corrected values under the closure constraint condition. A practical case study is presented to illustrate the effectiveness of this new model.

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