We propose a “COnstrained Data Extrapolation” (CODE) algorithm to reconstruct high-resolution MRA images from k-space with a lower resolution thereby accelerating acquisition of the data. We found that CODE can estimate a 50% (70%) stenosis of a vessel with a diameter equal to 7 (10) pixels in the high-resolution image to within 5% of the correct result when the SNR=4:1 or better. Both phantom simulations and in-vivo 3D contrast enhanced MRA data demonstrate that CODE is robust to noise and can be used to speed up conventional data acquisition by a factor of four.
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