MATHEMATICS OF 3-DIMENSIONAL EYE ROTATIONS

被引:325
作者
HASLWANTER, T
机构
[1] Department of Psychology, University of Sydney, Sydney
关键词
3-DIMENSIONAL; EYE MOVEMENTS; SEARCH COILS; LISTINGS LAW; ROTATIONS;
D O I
10.1016/0042-6989(94)00257-M
中图分类号
Q189 [神经科学];
学科分类号
071006 ;
摘要
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.
引用
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页码:1727 / 1739
页数:13
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