We present a simulation scheme for simulating Brownian bridges on complete and connected Lie groups. We show how this simulation scheme leads to absolute continuity of the Brownian bridge measure with respect to the guided process measure. This result generalizes the Euclidean result of Delyon and Hu to Lie groups. We present numerical results of the guided process in the Lie group $\SO(3)$. In particular, we apply importance sampling to estimate the metric on $\SO(3)$ using an iterative maximum likelihood method.

翻译：我们提出了一个模拟方案,模拟完整和相连的 " 谎言 " 组上的布朗桥。我们展示了这一模拟方案如何导致布朗桥测量法相对于引导过程测量法的绝对连续性。这一结果概括了德利昂和胡对利组的欧立底结果。我们在利组中展示了引导过程的数值结果$\SO(3)美元。我们特别运用重要取样方法,使用迭代最大可能性方法估算美元=SO(3)美元的计量法。