My mathematics page

I am currently performing clinical research in the area of ophthalmology for Prof. Noel Alpins as an employee of ASSORT Pty. Ltd. Our research deals with anterior eye measurement, and cataract and refractive surgery, with a special focus on astigmatism.

Previously, I worked at the Upper Austria University of Applied Sciences in the field of medical technology under the supervision of Prof. (FH) PD Dr. Thomas Haslwanter. My main project was the DIAVOLO Project (Diagnostic improvements through video oculography). The aim of this project was to be able to diagnose balance problems (including benign paroxysmal positional vertigo) by precisely measuring eye movements using a head-mounted camera system (the EyeSeeCam) while the head is moving. The tricky bit is accurately measuring the torsional component of eye movements from videos of the eyes. If you want to know how we did this, take a look at the 2010 publication "Measuring torsional eye movements by tracking stable iris features" below.

I finished my doctoral studies at the Nonlinear Dynamics Group, University of Potsdam in 2007. I was working under the supervision of Prof. Dr. Dr. h.c. mult. Jürgen Kurths and Prof. Dr. Reinhold Kliegl. I was looking at whether it is possible to compute Cloze predictability by using a combination of simple semantic and word n-gram measures. In addition, I considered whether Cloze predictability is really necessary as an input parameter to the SWIFT reading model.

I graduated from my masters in September 2002, which I did under the supervision of Alistair Mees, who was then a Professor in the School of Mathematics and Statistics at the University of Western Australia and Head of the now-nonexistent Centre for Applied Dynamics and Optimisation. I was working in the areas of control and dynamical systems, trying to prove analytically that pairs of chaotic ring lasers synchronise after being coupled—this included working on equations derived from the semiconductor laser, which came from the Institute for Nonlinear Science (INLS) research group at the University of California, San Diego.

In my honours year, I majored in dynamical systems and operations research at the Department of Mathematics and Statistics at The University of Melbourne.

Publications

• Alpins, N., Ong, J. K. Y. & Randleman, J. B. & Stamatelatos, G. (2023). Quantifying corneal topographic astigmatism (CorT Total) in keratoconic eyes, Journal of Refractive Surgery, 39(3), 206-213.
• Alpins, N., Ong, J. K. Y. & Stamatelatos, G. (2022). Hemidivisional vector planning to reduce and regularize irregular astigmatism by laser treatment, Graefe's Archive for Clinical and Experimental Ophthalmology, 260, 3095-3106.
• Alpins, N., Ong, J. K. Y. & Stamatelatos, G. (2021). Assessing Total Keratometry astigmatism, simulated keratometry, and Total Corneal Topographic Astigmatism against manifest refractive cylinder, Journal of Refractive Surgery, 37(3), 198-201.
• Ferguson, T. J., Piccinini, A. L., Thulasi, P., Ong, J. K. Y., Stamatelatos, G., Alpins, N. & Randleman, J. B. (2021). Optimized CorT Total to Compare Scheimpflug vs Dual Scheimpflug/Placido Imaging Devices, Journal of Cataract and Refractive Surgery, 47(2), 153-157.
• Alpins, N., Ong, J. K. Y., Randleman, B. J., Nevyas-Wallace, A. & Stamatelatos, G. (2020). Corneal topographic astigmatism based on total corneal power data (CorT Total): A benchmark for total corneal astigmatism, Cornea, 39(4), 431-436.
• Alpins, N., Ong, J. K. Y. & Stamatelatos, G. (2018). Role of hemidivisional corneal topographic astigmatisms (CorTs) in the regularization and reduction of irregular astigmatism, Cornea, 37(3), 386-393.
• Alpins, N., Ong, J. K. Y. & Stamatelatos, G. (2017). Planning for coupling effects in bitoric mixed astigmatism ablative treatments, Journal of Refractive Surgery, 33(8), 545–551.
• Alpins, N., Ong, J. K. Y. & Stamatelatos, G. (2016). Asymmetric corneal flattening effect after small incision cataract surgery, Journal of Refractive Surgery, 32(9), 598–603.
• Alpins, N., Ong, J. K. Y. & Stamatelatos, G. (2015). Corneal topographic astigmatism (CorT) to quantify total corneal astigmatism, Journal of Refractive Surgery, 31(3), 182–186.
• Alpins, N., Ong, J. K. Y. & Stamatelatos, G. (2014). Corneal coupling of astigmatism applied to incisional and ablative surgery, Journal of Cataract and Refractive Surgery, 40(11), 1813–1827.
• Alpins, N., Ong, J. K. Y. & Stamatelatos, G. (2014). Refractive surprise after toric intracular lens implantation: Graph analysis, Journal of Cataract and Refractive Surgery, 40(2), 283–294.
• Alpins, N., Ong, J. K. Y. & Stamatelatos, G. (2012). New method of quantifying corneal topographic astigmatism that corresponds with manifest refractive cylinder, Journal of Cataract and Refractive Surgery, 38(11), 1978–1988.
• Egan, C. (2012). A modified approach to muon-catalyzed fusion, employing helium-3 as fuel, Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 287, 103–108. [I performed the simulations for the paper.]
• Ong, J. K. Y. & Haslwanter, T. (2010). Measuring torsional eye movements by tracking stable iris features, Journal of Neuroscience Methods, 192(2), 261–267.
• Haslwanter, T., Platz, M. & Ong, J. K. Y. (2009). Optimizing video-oculography systems by simulating the effect of slippage artifacts, Proceedings of 21st European Modeling and Simulation Symposium EMSS 2009, Tenerife, Spain, 2009.
• Haslwanter, T. & Ong, J. K. Y. (2009). Applying knowledge—Challenges in bringing scientific advances to dizzy patients, Annals of the New York Academy of Sciences, 1164, 309–315.
• Haslwanter, T. & Ong, J. K. Y. (2008). New medical technologies: The journey from the laboratory to the patient, Proceedings FH Science Day 2008, Linz, Austria, 123–128.
• Ong, J. K. Y. & Kliegl, R. (2008). Conditional co-occurrence probability acts like frequency in predicting fixation durations, Journal of Eye Movement Research, 2(1):3, 1–7, http://www.jemr.org/.
• The predictability problem (doctoral thesis)
• Synchronisation of two chaotic delay differential systems (master thesis)
• Understanding the KAM theorem (honours thesis)

This page is maintained by James Ong.

Last edited: 10 Mar 2023