Accelerated parallel magnetic resonance imaging by adaptive k-space sampling

Parallel MR imaging methods like SMASH, SENSE etc. use multiple receiver coils to accelerate the imaging process by reducing the Fourier space sampling requirement. In this paper, we propose a method for selecting the optimal k-space sampling scheme for parallel MR imaging that minimizes the expected reconstruction error given coil sensitivities and desired acceleration factor. We demonstrate that higher acceleration factors are feasible by spacing the k-space non-uniformly instead of at an integer multiple of the Nyquist spacing.