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Abstract

A global optimization and apparatus to decompose spectral computed tomography (CT) projection data into basis materials. A cost function is defined to represent the difference between the measured projection data and calculated attenuation data using projection lengths for the basis materials with corresponding material models and a detector model to calculate the detector response. The cost function may have many local minima and only one global minima. A global optimization method is then used to obtain the projection lengths corresponding to the global minimum of the cost function. The global optimization method can be either a single-stage optimization method, or can be performed in multiple stages, e.g., a first coarse optimization stage followed by a second fine optimization stage using the final values of the first stage as the inputs into the second stage. The global optimization method can be a stochastic optimization method.

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