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MR image reconstruction from truncated k-space using a Layer singular point extraction technique

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2 Author(s)
Jianhua Luo ; Dept. of Biomed. Eng., Shanghai Jiaotong Univ., Zhejiang, China ; Yuemin Zhu

A new approach to image reconstruction in magnetic resonance imaging is proposed using the mathematical model of singularity function analysis (SFA). Through this model, any discrete signal is expressed as a weighted sum of singularity functions. A layer extraction technique based on SFA is then developed to determine the singular points as well as the weighting coefficients from the acquired k-space data. Images are finally reconstructed using the obtained model parameters. This reconstruction methodology differs fundamentally from existing methods, and is particularly suitable for reconstructing images from truncated k-space. Experiments on both simulated and physical data revealed significant advantages of the present method over conventional reconstruction methods.

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Nuclear Science, IEEE Transactions on  (Volume:51 ,  Issue: 1 )