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An Automatic Calibration Method for Kappa Angle Based on a Binocular Gaze Constraint
Jiahui Liu1,2, Jiannan Chi1,2,3, Hang Sun1,2
1School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China.
Sensors (Basel, Switzerland)
|April 28, 2023
Summary
This study introduces an automatic kappa-angle calibration method for 3D gaze tracking, eliminating complex user calibration. The new approach achieves high accuracy, enabling instant use of gaze-tracking systems.
Area of Science:
- Ophthalmology
- Computer Vision
- Human-Computer Interaction
Background:
- Kappa-angle calibration is crucial for accurate 3D gaze tracking.
- Current explicit user calibration methods are complex and time-consuming.
Purpose of the Study:
- To develop an automatic kappa-angle calibration method for gaze tracking.
- To improve the efficiency and usability of gaze-tracking systems.
Main Methods:
- Utilized 3D corneal centers and optical axes of both eyes.
- Established an objective function based on the coplanar constraint of visual axes.
- Employed a differential evolution algorithm for kappa-angle iteration.
Main Results:
- Achieved gaze accuracy of 1.3° (horizontal) and 1.34° (vertical).
- Results are within acceptable gaze-estimation error margins.
- Demonstrated the feasibility of automatic calibration during screen browsing.
Conclusions:
- The proposed automatic kappa-angle calibration method significantly simplifies the process.
- This advancement is vital for the immediate application of gaze-tracking technology.
- The method enhances the practical utility of 3D gaze tracking systems.

