It looks good, I could run it at work on GTX 680, no luck at Radeon 6870. At home I can't get it run on AMDs either. The problem probably aren't supported features though, it is more likely that some GLSL shaders aren't valid for AMD gpus, but are valid for NVidia gpus.
This especially counts twice for compute shaders, as AMD finally supports them in stable driver (13.4 has been beta for quite a while -> now it is stable -> hooray), but the driver has like a TON of differences from NVidia driver (damn those vendors, both!) ... so most likely the compute shaders are causing the issues. I could give it a look or two on AMD, sadly I have too much work these weeks and I won't be regularly available till 15th June or so.