The idea of the experiment appeared a long time ago. I wanted to check out the possibility of replacing touch screen with a leap motion device. 100$ (the price leap motion) is a little price for turning any surface into touch. Of course there were some limitations to the leap motion coverage area (slightly more than 50 centimeters).
The logic was simple. We defined a plane in space sensor by three points, did a bijection on the screen or a part of it, and here we go. As soon as the finger crosses our plane (the distance from fingertip to the plane became small) - there was a virtual "touch". More details can be found in publications, you can find references to it below.
developed in Family Agency