Keywords:
Theoretically two materials with different linear attenuation coefficients can be accurately reconstructed using dual-energy CT (DECT) technique. However, the ability to reconstruct three or more basis materials is clinically and industrially important. We propose a new image-domain multi-material decomposition (MMD) method using DECT measurements. The proposed PWLS-TNV-`0 method uses penalized weighted leastsquare (PWLS) reconstruction with three regularization terms. The first term is a total nuclear norm (TNV) that accounts for the image property that basis material images share common or complementary boundaries and each material image is piecewise constant. The second term is a `0 norm that encourages each pixel containing a small subset of material types out of several possible materials. The third term is a characteristic function based on sum-to-one and box constraint derived from the volume and mass conservation assumption. We apply an Alternating Direction Method of Multipliers (ADMM) to optimize the cost function of the PWLS-TNV-`0 method. Our results on simulated digital phantom and clinical data indicate that the proposed PWLS-TNV-`0 method reduces noise and improves accuracy of decomposed material images, compared to a recently proposed image-domain MMD method for DECT.
- Qiaoqiao Ding
- School of Mathematical Sciences and Institute of Natural Sciences, Shanghai Jiao Tong University, China
- Tianye Niu
- Sir Run Run Shaw Hospital and Institute of Translational Medicine, Zhejiang University, China
- Xiaoqun Zhang
- School of Mathematical Sciences and Institute of Natural Sciences, Shanghai Jiao Tong University, China
- Yong Long
- University of Michigan-Shanghai Jiao Tong University Joint Institute, Shanghai Jiao Tong University, China
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