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Highly undersampled GROG-BPE radial data reconstruction using Compressed Sensing
Yumna Bilal1,2, Ibtisam Aslam1,3, Muhammad Faisal Siddiqui1, and Hammad Omer1
1Medical Image Processing Research Group (MIPRG), Department of Electrical & Computer Engineering, COMSATS University Islamabad, Islamabad, Pakistan, 2Department of Electrical Engineering, University of Gujrat, Gujrat, Pakistan, 3Service of Radiology, Geneva University Hospitals and Faculty of Medicine, University of Geneva, Geneva, Switzerland
Compressed Sensing reconstruction for radially undersampled GROG-BPE data with random blipping yields images with better clarity and quantifying parameters than conventionally used GROG-BPE CG-INNG method at higher acceleration factors.
Figure 1: Block diagram of the proposed CS-GROG-BPE scheme. Undersampled radial signal is used to generate the Bunch Phase Encoded k-space at the specified k_max and NBP, using GROG. Non-Cartesian BPE k-space is gridded to Cartesian k-space using a defined oversampling factor and step-size using GROG. Gridded k-space is then reconstructed coil-by-coil by CS algorithm with specified regularization parameters. Coil-by-coil reconstructed images are then combined using sum-of-square reconstruction to yield the final output image.
Figure 2: Reconstruction Results (a) shows fully sampled ground truth image. (b) shows results of CS-GROG-BPE method proposed in this work, at acceleration at AF = 8, 10, 12. (c) shows results of GROG-BPE CG-INNG method2 with the same BPE generation and gridding parameters. Quantifying parameters including AF, RMSE and SNR have been provided underneath each reconstructed image.