Chaotic Compressed Sensing and Its Application to Magnetic Resonance Imaging

Abstract

Fast image acquisition in magnetic resonance imaging (MRI) is important, due to the need to find ways that helprelieve patients stress during MRI scans. Methods for fast MRI have been proposed, most notably among them are pMRI(parallel MRI), SWIFT (SWeep Imaging with Fourier Transformation), and compressed sensing (CS) based MRI. Although itpromises to significantly reduce acquisition time, applying CS to MRI leads to difficulties with hardware design because ofthe randomness nature of the measurement matrix used by the conventional CS methods. In this paper, we propose a novelmethod that combines the above-mentioned three approaches for fast MRI by designing a compound measurement matrixfrom a series of single measurement matrices corresponding to pMRI, SWIFT, and CS. In our method, the CS measurementmatrix is designed to be deterministic via chaotic systems. This chaotic compressed sensing (CCS) measurement matrix,while retaining most features of the random CS matrix, is simpler to realize in hardware. Several compound measurementmatrices have been constructed and examined in this work, including CCS-MRI, CCS-pMRI, CCS-SWIFT, and CCS-pSWIFT.Simulation results showed that the proposed method allows an increase in the speed of the MRI acquisition process whilenot compromising the quality of the acquired MR images.