On computing the average orientation of vectors and lines

摘要：

Computing the “average orientation of lines and rotations is non-trivial due to the need to account for the periodicity of rotation. For example, the average of +10 and +350 degrees is 0 (or 360) degrees, not 180. This problem arises in many disciplines, particularly those in which empirically collected data is processed or filtered. In this paper, we review a common but sub-optimal method for computing average orientation and provide a new geometric interpretation. We also propose a new method which provides additional insights into the geometry of the problem. Our new method also produces significantly more accurate results in the regime of operation usually encountered in robotics applications. We characterize this regime and provide guidance regarding which method to use, and when.

作者: Edwin Olson

作者单位: University of Michigan

会议类型: 国际会议

会议名称: 2011 IEEE International Conference on Robotics and Automation(2011年IEEE世界机器人与自动化大会 ICRA 2011)

会议地点: 上海

会议语种:英文

页码: 3869-3874

在线出版日期: 2011-05-09（万方平台首次上网日期，不代表论文的发表时间）