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I figure a GPGPU implementation would be much faster on hardware you can buy in the corner computer store today as compared to that 48 core machine.

From my limited understanding of that type of problem GPGPUs are well tailored to doing those computations, for the exact same reason a multi-core box would be a good match.

But price-performance wise the GPGPU wins hands down.

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The small problem with GPGPU is that one aspect of this project is to look at several reconstruction solvers (as they are being called in compressed sensing). Not all of these solvers are clearly amenable to a GPU approach. The idea is really to make it easy for new reconstruction algorithm to be tested on these phase transition maps as opposed to a dedicated effort at re-thinking the algorithm so that it can fit the GPU architecture.

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