My mathematics page

I am currently working at the Upper Austria University of Applied Sciences in the field of medical technology under the supervision of Prof. (FH) PD Dr. Thomas Haslwanter. Specifically, I'm almost finished with the DIAVOLO Project (Diagnostic improvements through video oculography). Our aim of this project is 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 do 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. Jürgen Kurths and Prof. Dr. Reinhold Kliegl. I have been 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 INLS research group at UCSD.

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

A while ago, I gave a talk to Year 8 students on fractals, and had them take part in a number of activities to illustrate a number of the points.

Publications

Ong, J. K. Y. & Haslwanter, T. (2010). Measuring torsional eye movements by tracking stable iris features, Journal of Neuroscience Methods, in press.
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)