Hi Victoire,
Here are answers to your questions & comments:
You mention leap motion, do you mean the Leap Motion 3D Motion Controller RB-Lep-01]? If so, please note that the leap motion sensor is only meant to detect hands/fingers’ position and gestures, not people in an area.
There are most likely system that are ready-made for this purpose. That being said, we are not aware of any specific product since we mostly focus on DIY, electronics and robotics.
Well, the first step would be to run down your exact requirements so you can determine exactly what you need. “Make something appear on a big wall-size screen” is rather vague. Do you need the display to toggle on/off or change what is displayed? If your screen system can work from an HDMI signal, then you may simply want to use a small SBC (Single Board Computer) such as a Raspberry Pi 3 B+ RB-Ras-20] to do the work of displaying the information on your screen.
What you mostly need to identify is what type of interaction do you wish to detect and then choose the appropriate sensor for it. Then, you also need to determine what type of content (your output) you wish to generate and choose a proper device to make that happen, too. As mention before, a SBC is probably a good choice for your output.
As for the sensor to trigger the display, there are many things that can be used depending on what you are trying to detect. If it is a person walking by then you could use anything from a PIR (Passive IR) detector; similar to what is used in alarm systems, a LIDAR, a sonar and plenty of other things, too, depending on what kind of interactions you need.
This would be achieved by the code running on the RPi. In most cases, you can probably get away with doing only Python which should be simple to get started with since there is a large community with many examples and tutorials available for most situations you can encounter. Of course, that would still need some work to create & adapt to your specific needs.
We hope this helps get you started. Once you’ve figured out more details about your input/output requirements, feel free to post again here and we will be glad to offer further assistance with part selection.
Sincerely,