Processing video chat from Mac Mini or iPad?

I would like to process incoming video from, say, gmail video chat or skype. Is there a way to connect the output from a Mac Mini or an iPad to a BeagleBone Black? Note that I’m not processing video from a USB-connected camera. I would like to use a BeagleBone Black but I don’t know if I can get the video onto the board. The micro-hdmi port is output only, right? It looks like the only other options are the USB port or the Ethernet port. Could I use either of those to get video from a Mac Mini or an iPad?