A novel blind separation method in magnetic resonance images
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Updated: May 1, 2026

Quantifying Mixing using Magnetic Resonance Imaging
Published on: January 25, 2012
Jianbin Gao1, Qi Xia2, Lixue Yin3
1School of Resources and Environment, University of Electronic Science and Technology of China, Chengdu 611731, China ; Key Laboratory of Integrated Electronic System, Ministry of Education, Chengdu 611731, China ; Sichuan Academy of Medical Sciences & Sichuan Provincial People's Hospital, Chengdu 610072, China.
Abstract:
A novel global search algorithm based method is proposed to separate MR images blindly in this paper. The key point of the method is the formulation of the new matrix which forms a generalized permutation of the original mixing matrix. Since the lowest entropy is closely associated with the smooth degree of source images, blind image separation can be formulated to an entropy minimization problem by using the property that most of neighbor pixels are smooth. A new dataset can be obtained by multiplying the mixed matrix by the inverse of the new matrix. Thus, the search technique is used to searching for the lowest entropy values of the new data. Accordingly, the separation weight vector associated with the lowest entropy values can be obtained. Compared with the conventional independent component analysis (ICA), the original signals in the proposed algorithm are not required to be independent. Simulation results on MR images are employed to further show the advantages of the proposed method.
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