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Robotic beating heart surgery requires accurate information about the current state of the heart. For this purpose, it is of great importance to have a good estimate of the heart's current phase, which in essence corresponds to the percentage of the current heart cycle that has already passed. Estimation of the heart phase is a highly nontrivial problem as the heart motion is not exactly periodic...
Estimation of angular quantities is a widespread issue, but standard approaches neglect the true topology of the problem and approximate directional with linear uncertainties. In recent years, novel approaches based on directional statistics have been proposed. However, these approaches have been unable to consider arbitrary circular correlations between multiple angles so far. For this reason, we...
We introduce a novel probability distribution on the group of rigid motions SE(2) and we refer to this distribution as the partially wrapped normal distribution. Describing probabilities on SE(2) is of interest in a wide range of applications, for example, robotics, autonomous vehicles, or maritime navigation. We derive some important properties of this novel distribution and propose an estimation...
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