# Sparse MRI: The application of compressed sensing for rapid MR imaging

@article{Lustig2007SparseMT, title={Sparse MRI: The application of compressed sensing for rapid MR imaging}, author={Michael Lustig and David L. Donoho and John M. Pauly}, journal={Magnetic Resonance in Medicine}, year={2007}, volume={58} }

The sparsity which is implicit in MR images is exploited to significantly undersample k‐space. Some MR images such as angiograms are already sparse in the pixel representation; other, more complicated images have a sparse representation in some transform domain–for example, in terms of spatial finite‐differences or their wavelet coefficients. According to the recently developed mathematical theory of compressed‐sensing, images with a sparse representation can be recovered from randomly…

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