Translation of a coordinate system from Fick's frame or reference to rotational axes

Tsutsumi Takeshi, Tsukui Kei, Kitamura Ken

doi:10.3757/jser.67.522

The output from the recently developed infrared video-oculography is in terms of Euler's angle coordinates, which do not express the eye movements precisely. More precise representation of the eye movements requires transcription on a rotational axis reference frame. Description of the rotation of the eyeballs expressed in terms of the Euler's angle can be transformed to a rotational axis reference frame through quaternion conversion. Transcription on a rotational axis reference frame was accomplished by consecutively combining the rotational quaternions describing the 3 components of Euler's angle. The directions of the primary position and Listing's plane were also calculated using the quaternion technique. The algorithm developed by us was provided here, and practical data were obtained to evaluate the adequacy of these transcriptions. Further, the accuracy of the commercialized video-oculography product was discussed. Using our algorithm to manage the video-oculography data, we could accurately determine the positional (Listing's) plane and primary position. False torsion of the raw data from the video-oculography could be successfully managed. However, further reduction of the measuring noise would be desirable, especially on a roll plane. Conversion through a rotational quaternion represents an excellent method for transcribing eye movements in an adequately realistic form. Video-oculography could serve as a basis for convenient and precise description of the eye movements. With further improvement, this instrument could substantially facilitate research into the dynamics of the eye movements.

Translation of a coordinate system from Fick's frame or reference to rotational axes

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