Quantitative susceptibility imaging with homotopic L0 minimization programming: preliminary study of brain
نویسندگان
چکیده
INTRODUCTION Susceptibility-weighted imaging (SWI) technique is used for neuroimaging to improve visibility of iron deposits, veins, and hemorrhage [1]. Quantitative susceptibility imaging (QSI) improves upon SWI by measuring iron in tissues, which can be useful for molecular/cellular imaging to analyze brain function, diagnose neurological diseases, and quantify contrast agent concentrations. Susceptibility quantification can be achieved by inverting local magnetic field to magnetization source. The illposedness of this inversion can be resolved with regularization. L1 norm regularization minimization has shown good susceptibility estimation assuming a sparse susceptibility distribution [2]. However, L0 norm is the optimum for sparse distributions. Although L0 norm minimization programming is NP-hard, homotopic L0 norm minimization can be used to approach a solution that approximates L0 solution. In this study QSI of brain with hemorrhage was derived with homotopic L0 norm minimization programming.
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