How to remove overscan on HDMI 1080p output using xrandr

I recently got a Asus 24T1E TV monitor with integrated DVB tuner and lots of connectors on the back, two of which are HDMI inputs. When I first connected my Laptop to it via HDMI and turned it to 1920×1080 (native resolution of the monitor) I encountered that the picture was kind of blury and the borders of the desktop were outside of the screen, i.e. 52 pixels on the left and right and 26 pixels on the top and bottom border. The info pannel on the monitor’s OSD reported “1080p” as resolution.