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PHOTOGRAPHIC DETERMINATION OF THE ROTATIONAL STATE OF THE EYE USING MATRICES

Ken Nakayama

Open publisher page 40 citations

Abstract

A method is described which completely determines the rotational state of the eye in terms of three spherical angles or in terms of an axis of rotation and an extent of rotation. The experimental method consists of photographing two distinct markers on the globe through a telephoto lens. The data transformation relies on the fact that the rotation of a rigid body can be described by an orthogonal matrix and that the resultant rotation of successive rotations can be represented by the product of such matrices.

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What this paper is about

A method is described which completely determines the rotational state of the eye in terms of three spherical angles or in terms of an axis of rotation and an extent of rotation. The experimental method consists of photographing two distinct markers on the globe through a telephoto lens. The data transformation relies on the fact that the rotation of a rigid body can be described by an orthogonal matrix and that the resultant rotation of successive rotations can be represented by the product of such matrices.

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OpenAlex reports 40 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A method is described which completely determines the rotational state of the eye in terms of three spherical angles or in terms of an axis of rotation and an extent of rotation. The experimental method consists of photographing two distinct markers on the globe through a telephoto lens. The data transformation relies on the fact that the rotation of a rigid body can be described by an orthogonal matrix and that the resultant rotation of successive rotations can be represented by the product of such matrices.

Key concepts: Rotation (mathematics), Rotation matrix, Transformation matrix, Transformation (genetics), Matrix (chemical analysis), Orthogonal transformation, Lens (geology), State (computer science)

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PHOTOGRAPHIC DETERMINATION OF THE ROTATIONAL STATE OF THE EYE USING MATRICES — Research Paper | ScholarLens