From what I can see, the commands are either GET or POST requests to a bunch of CGI endpoints with any parameters added. For instance, the command to get a list of commands seems to be:
http://192.168.0.10/get_commandlist.cgi
It's all very simple and you should be able to play with this by connecting your PC to the camera's AP and sending commands using your browser or curl. Looking a bit further, it looks like you can take a picture by doing:
http://192.168.0.10/switch_cammode.cgi&mode=shutter
wait half a sec
http://192.168.0.10/exec_shutter.cgi&com=1st2ndpush
wait half a sec
http://192.168.0.10/exec_shutter.cgi&com=2nd1strelease
http://192.168.0.10/switch_cammode.cgi&mode=play