There are two things that make this difficult. The amount of garbage is the size of Texas and a lot of the plastics have dissolved.
A crew went to the gyre and recorded a documentary (a free documentary by VBS.TV Garbage Island ), hoping to see giant island of garbage. While they did not see the island, what they saw was far worse. The plastics have dissolved and estimated that the amount of dissolved plastics is higher than the microscopic sea life and natural oceanic nutrients in the water. The gyre is now very, very gross. The garbage is either so scattered or very well dissolved that there is no way that it can be cleansed that easily.
It seems that more and more mathematicians are using a new, high level language named "research student".