研究目的
To develop a novel 3-D coordinate transformation uncertainty estimation approach based on weighted total least squares (WTLS) adjustment, and analyze the distribution of transformation uncertainty and its influencing factors, aiming to recommend optimized strategies for minimizing transformation uncertainty in addition to quantifying it.
研究成果
The WTLS-based 3-D coordinate transformation uncertainty estimation approach was discussed in detail. This approach satisfies any rotation angle and uses information from the instruments’ uncertainty characteristics fully. The experimental results demonstrated that these strategies minimize transformation uncertainty and reduce measurement cost effectively.
研究不足
The approach assumes that the rotation angles are small for linearization, and the computational expense of the Monte Carlo simulation grows exponentially as the number of measured points increases.