Method and apparatus for reconstructing image using low rank fourier interpolation scheme

Abstract

A method and apparatus for reconstructing an image using a low rank Fourier interpolation scheme are provided. The method may reconstruct information of a k-space domain based on the information of the k-space domain using an imaging apparatus, for example, a magnetic resonance imaging (MRI) apparatus, a computed tomography (CT) apparatus, and a diffraction tomography apparatus. The method may generate a block Hankel matrix based on the information of the k-space domain, and may complete the block Hankel matrix using a low rank matrix completion algorithm, to reconstruct corresponding information of the k-space domain.