MATHEMATICS OF 3-DIMENSIONAL EYE ROTATIONS
MATHEMATICS OF 3-DIMENSIONAL EYE ROTATIONS
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DOI：
10.1016/0042-6989(94)00257-m
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发表时间：
1995-06-01
期刊：
影响因子：
1.8
通讯作者：
HASLWANTER, T
中科院分区：
文献类型：
--
作者：
HASLWANTER, T
三维眼睛位置的记录已成为眼球运动研究中公认的标准。在本文中，我们审查的数学基础表示的三维眼球运动。给出了旋转矩阵、旋转向量和四元数，并描述了它们之间的关系。解释了搜索线圈和旋转矩阵之间的联系，以及眼睛位置和眼睛速度之间的联系。虽然应用的公式前庭眼研究的例子，方法和数学分析也是有用的，研究其他运动系统。
The recording of three-dimensional eye position has become the accepted standard in oculomotor research. In this paper we review the mathematics underlying the representation of three-dimensional eye movements. Rotation matrices, rotation vectors and quaternions are presented, and their relations described. The connection between search coils and rotation matrices is explained, as well as the connection between eye position and eye velocity. While examples of applications of the formulas to vestibulo-ocular research are given, the methods and mathematical analyses are also useful for studying other motor systems.