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MADCO-Accelerated Multidimensional Diffusion MRI

The marginal distribution constrained optimization (MADCO) methodology is disclosed wherein a 2D (or higher-dimensional) spectrum is estimated from initial 1D marginal distribution data. These 1D marginal distributions are used as constraints in the reconstruction of the 2D spectra. MADCO accelerates and improves the reconstruction of multidimensional NMR relaxation/diffusion spectra, making it suitable for MRI applications on a voxel-by-voxel basis by vastly reducing the amount of data acquired and data necessary for creating MRI images.