Listing's law: all eye rotations are such that they are rotations around an axis orthogonal to the primary gaze direction
Mathematically, this means the space of all eye rotations
is a subset of the special orthogonal group SO(3).
THINGS TO TRY
Rotate and Zoom in 3D
The geodesic equations in the space
(parameterized by the angles
of a spherical coordinate system) are
A. D. Polpitiya, W. P. Dayawansa, C. F. Martin, and B. K. Ghosh , "Geometry and Control of Human Eye Movements,"
IEEE Transactions on Automatic Control
(2), 2007 pp. 170–180.
Wolfram Demonstrations Project
Published: October 25, 2007
Embed Interactive Demonstration
More details »
Download Demonstration as CDF »
Download Author Code »
More by Author
Motion/Pursuit Law in 1D (Visual Depth Perception 1)
Motion/Pursuit Law on Invariant Circles (Visual Depth Perception 4)
Motion/Pursuit Law in 2D (Visual Depth Perception 3)
Anatomy of the Eye
Moiré Pattern of Two Straight Line Patterns
James C. Wyant
Autostereogram with Depth Adjustment
Single Photon Response for Rods in a Toad's Eye
Moiré Pattern of Two Fresnel Zone Plates
James C. Wyant
Laws of Reflection
Cardinal Elements of an Aging Human Eye Model with a Gradient-Index Crystalline Lens
José A. Díaz, José Fernández-Dorado, Josep Arasa, and Carles Pizarro
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
The #1 tool for creating Demonstrations
and anything technical.
Explore anything with the first
computational knowledge engine.
The web's most extensive
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
STEM Initiative »
Programs & resources for
educators, schools & students.
Join the initiative for modernizing
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
© 2017 Wolfram Demonstrations Project & Contributors |
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have