MR IMAGE RECONSTRUCTION BASED ON COMPREHENSIVE SPARSE PRIOR

• Published in: Journal of electronics (China) Vol. 29; no. 6; pp. 611 - 616
• Main Authors: Ding, Xinghao, Chen, Xianbo, Huang, Yue, Mi, Zengyuan
• Format: Journal Article
• Language: English
• Published: Heidelberg SP Science Press 2012; School of Information Science and Technology, Xiamen University, Xiamen 361005, China
• Subjects: Electrical Engineering; Engineering; Patch-wise sparse prior; TP391; Image-wise sparse prior; Compressive sampling; Beta-Bernoulli process; Low-dimensional-structure
• ISSN: 0217-9822; 1993-0615
• DOI: 10.1007/s11767-012-0874-z

In this paper, a novel Magnetic Resonance （MR） reconstruction framework which com- bines image-wise and patch-wise sparse prior is proposed. For addressing, a truncated beta-Bernoulli process is firstly employed to enforce sparsity on overlapping image patches emphasizing local struc- tures. Due to its properties, beta-Bernoulli process can adaptive infer the sparsity （number of non- zero coefficients） of each patch, an appropriate dictionary, and the noise variance simultaneously, which are prerequisite for iterative image reconstruction. Secondly, a General Gaussian Distribution （GGD） prior is introduced to engage image-wise sparsity for wavelet coefficients, which can be then estimated by a threshold denoising algorithra. Finally, MR image is reconstructed by patch-wise es- timation, image-wise estimation and under-sampled k-space data with least square data fitting. Ex- perimental results have demonstrated that proposed approach exhibits excellent reconstruction per- formance. Moreover, if the image is full of similar low-dimensional-structures, proposed algorithm has dramatically improved Peak Signal to Noise Ratio （PSNR） 7-9 dB, with comparisons to other state-of-art compressive sampling methods.