Since the astronomers are using radio telescopes and not optical telescopes, I'd like to point out why they are doing so - The centre of the Milky Way is a very dusty place. Wavelengths from the millimeter to optical get easily absorbed by all this dust, so it's very difficult to see the centre of the galaxy in the optical spectrum. But radio waves do not get absorbed, and the centre of our galaxy is a very strong source of radio waves. Therefore looking in radio will give us the clearest picture of what's happening over there.
They mention in the article that they use a technique called VLBI (Very Long Baseline Interferometry) to image the blackhole.
The images you get from VLBI aren't images in the traditional sense, like you would get from an optical telescope. VLBI measures the phase difference of waves arriving at two different antennas (on two different continents, perhaps) and use this phase difference to infer the size of the source in the sky. Contradictorily, even though they can resolve sources of less than an arcsecond in size, it's very difficult to localize the absolute position in the sky to a very high degree.
So hopefully we will be able to resolve the event horizon of the black hole, but we will (almost definitely) not be able to see a picture like the one you posted.