Abstract
Nowadays gaze tracking systems have several common drawbacks: low suitability, high complexity and low accuracy. To solve these problems, this paper presents a novel gaze tracking method, which improves the performance of gaze tracking system in two aspects. A 3D ocular quadratic surface model is constructed with eyeball’s point cloud data, which are collected by a pair of binocular cameras in a free space, allowing head movement and without any wearable devices. Geometrical features of ocular surface, including principal direction, Gaussian curvature and radius are exploited to calculate ocular optical axis direction and person-specific parameters, and then to estimate ocular visual axis direction, i.e. gaze direction without any personal calibration procedures. For this purpose, two person-specific parameters, the radius of cornea curvature and the distance between the center of cornea curvature and the pupil on the ocular model, are inputted into a GRNN network to estimate the value of kappa angle, which is an angle between ocular optical axis and visual axis and has important effect on estimation accuracy of the ocular visual axis direction by the ocular optical axis direction. Compared with the pupil center cornea reflection method, the following experimental results show that the method presented in this paper is effective and accurate in kappa angle estimating and gaze tracking.
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References
Li, X., Li, Z.L., Qin, J.L.: An improved gaze tracking technique based on eye model. In Proceedings of the 33rd Chinese Control Conference, vol. 6, pp. 7286–7291. IEEE (2014)
Lopez-Gordo, M., Pelayo, F., Prieto, A., Fernandez, E.: An auditory brain-computer interface with accuracy prediction. Int. J. Neural Syst. 22(3), 1250009 (2012)
Ghahari, A., Enderle, J.D.: A neuron-based time-optimal controller of horizontal saccadic eye movements. Int. J. Neural Syst. 24(6), 1450017 (2014)
Xinming, Y., Qijie, Z., Dawei, T., Hui, S.: A novel approach to estimate gaze direction in eye gaze HCI system. In: The 5th International Conference on Intelligent Human-Machine Systems and Cybernetics (IHMSC), vol. 8, pp. 588–591 (2013)
Pauwels, K., Van, H., Marc, M.: Head-centric disparity and epipolar geometry estimation from a population of binocular energy neurons. Int. J. Neural Syst. 22(3), 1250007 (2012)
Dong-Chan, C., Whoi-Yul, K.: Long-range gaze tracking system for large movements. IEEE. Trans. Biomed. Eng. 60(12), 3432–3440 (2013)
Hansen, D.W., Qiang, J.: In the eye of the beholder: a survey of models for eyes and gaze. IEEE Trans. Pattern Anal. Mach. Intell. 32(3), 478–500 (2010)
Dong-Chan, C., Wah-Seng, Y., Heekyung, L., Injae, L.: Long range eye gaze tracking system for a large screen. IEEE Trans. Consum. Electron. 58(4), 1119–1128 (2013)
Enderle, J.D., Sierra, D.A.: A new linear muscle fiber model for neural control of saccades. Int. J. Neural Syst. 23(2), 1350002 (2013)
Lopez, A., Rodriguez, I., Ferrero, F.J., Valledor, M.: Low-cost system based on electro-oculography for communication of disabled people. In: The 11th International Multi-Conference on Systems, Signals & Devices (SSD), vol. 2, pp. 1–6 (2014)
Chumerin, N., Gibaldi, A., Sabatini, S.P., Van Hulle, M.M.: Learning eye vergence control from a distributed disparity representation. Int. J. Neural Syst. 20(4), 267–278 (2010)
Jian-nan, C., Peng-yi, Z., Si-yi, Z., Chuang, Z., Ying, H.: Key techniques of eye gaze tracking based on pupil corneal reflection. In: WRI Global Congress on Intelligent Systems (GCIS), vol. 2, pp. 133–188 (2009)
Ji, W.L., Chul, W.C., Kwang, Y.S., Eui, C.L., Kang, R.P.: 3D gaze tracking method using purkinje images on eye optical model and pupil. Opt. Lasers Eng. 50(5), 736–751 (2012)
Chuang, Z., Jiannan, C., Chaohui, Z.: A novel eye gaze tracking technique based on pupil center cornea reflection technique. Chin. J. Comput. 33(7), 1273–1285 (2010)
Ince, I.F., Kim, J.W.: A 2D eye gaze estimation system with low-resolution webcam images. EURASIP J. Adv. Signal Process. 2011, 40 (2011). https://doi.org/10.1186/1687-6180-2011-40
Valenti, R., Sebe, N., Gevers, T.: Combining head pose and eye location information for gaze estimation. IEEE Trans. Image Process. 21(2), 802–815 (2012)
Siriteerakul, T., Sato, Y., Boonjing, V.: Estimating change in head pose from low resolution video using LBP-based tracking. In: 2011 International Symposium on Intelligent Signal Processing and Communications Systems (ISPACS), vol. 12, pp. 1–6 (2011)
Wi, N.T.N., Loo, C.K., Chockalingam, L.: Biologically inspired face recognition: toward pose-invariance. Int. J. Neural Syst. 22(6), 1–17 (2012)
Boumbarov, O., Panev, S., Paliy, I., Petrov, P., Dimitrov, L.: Homography-based face orientation determination from a fixed monocular camera. In: The 6th International Conference on IEEE Intelligent Data Acquisition and Advanced Computing Systems (IDAACS), vol. 1, pp. 399–403 (2011)
Auvinet, E., Meunier, J., Ong, J., Durr, G., Gilca, M., Brunette, I.: Methodology for the construction and comparison of 3D models of the human cornea. In: Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), pp. 5302–5305 (2012)
Nagamatsu, T., Sugano, R., Iwamoto, Y., Kamahara, J.: User-calibration-free gaze estimation method using a binocular 3D eye model. IEICE Trans. Inf. Syst. E94D(9), 1817–1829 (2011)
Ling, Z., Mingyu, Y., Yanjun, Z.: Fatigue detection with 3D facial features based on binocular stereo vision. Integr. Comput. Aided Eng. 21(4), 387–397 (2014)
Heekyung, L., SeongYong, L., Injae, L., Jihun, C., Dong-Chan, C., Sunyoung, C.: Multi-modal user interaction method based on gaze tracking and gesture recognition. Signal Process. Image Commun. 28, 114–126 (2013)
Eghosasere, I., Joy, I., Christian, I.O.: The role of axial length-corneal radius of curvature ratio in refractive state categorization in a Nigerian population. ISRN Ophthalmol. 2011, ID: 138941 (2011)
Marta, K., Frantisek, P., Petr, M., Ondrej, V., Martin, S., Klara, M.: The importance of angle kappa evaluation for implantation of diffractive multifocal intra-ocular lenses using pseudophakic eye model. Acta Ophthalmol. 93(2), e123–e128 (2015)
Acknowledgment
This study was funded by Guangdong Natural Science Fund Project (2021A1515011243), Guangzhou Science and Technology Plan Project (201902020016), Yunfu Science and Technology Plan Project S2021010104 and Guangdong Science and Technology Plan Project (2019B010139001, 2021B1212100004).
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Ling, Z., Zongxin, M., MingYu, Y., Wenchao, J., Muhammad (2023). An Eye-Gaze Tracking Method Based on a 3D Ocular Surface Fitting Model. In: Xu, Y., Yan, H., Teng, H., Cai, J., Li, J. (eds) Machine Learning for Cyber Security. ML4CS 2022. Lecture Notes in Computer Science, vol 13656. Springer, Cham. https://doi.org/10.1007/978-3-031-20099-1_31
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