2D IIR filter for parallel magnetic resonance image reconstruction

Accelerated parallel MRI has been widely used in medical research and clinical diagnoses. This paper presents a two dimensional (2D) infinite impulse response (IIR) model of inverse filter to replace the finite impulse response model currently used in GRAPPA class image reconstruction methods. The IIR model better characterizes the correlation of k-space data points and better approximates the inversion of parallel imaging process. The experiments on in vivo accelerated cardiac imaging show that the proposed method significantly reduces reconstruction errors compared with conventional 2D GRAPPA method, particularly at the high acceleration rates.