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Dual spectral computed tomography (DSCT) can achieve energy- andmaterial-selective images, and has a superior distinguishability of somematerials than conventional single spectral computed tomography (SSCT).However, the decomposition process is illposed, which is sensitive with noise,thus the quality of decomposed images are usually degraded, especially thesignal-to-noise ratio (SNR) is much lower than single spectra based directlyreconstructions. In this work, we first establish a local linear relationshipbetween dual spectra based decomposed results and single spectra based directlyreconstructed images. Then, based on this constraint, we propose anoptimization model for DSCT and develop a guided image filtering basediterative solution method. Both simulated and real experiments are provided tovalidate the effectiveness of the proposed approach.

Local Linear Constraint based Optimization Model for Dual Spectral CT