The writer of that report has an apples/oranges problem ...
... he is comparing recent OS with previous fully diluted.
As you will recall, in the quarterly report for 1Q08 NeoMedia reported a fully diluted share count of close to what the writer says. The actual number in the 10Q was 9,617,290,165, why the writer couldn't quite get that right is unclear.
The writer appears to have made a silly mistake, or is improperly trying to convey the positive impression that NeoMedia has dramatically reduced its outstanding share count over the past year.