BINARY MATRICES FOR MULTIPLEXED X-RAY IMAGING: CONSTANT-TIME AND CONSTANT-EXPOSURE MODELS

We study the optimization of binary matrix coding patterns for an imaging system consisting of multiple individually-controllable X-ray sources shining on a single detector in mixed noise. We develop a mathematical model for the noise in such a system and show that the noise is dependent on the properties of the matrix and on the average number of sources used for each code. We derive relations for two bases for comparing the performance of coding matrices: the basis of total imaging time (constant-time) and the basis of total X-ray exposure (constant-exposure). Simulation of a seven-source radiography system demonstrates that the noise model predicts performance in regions of nonuniform images. We conclude that the models developed provide a simple framework for analysis, discovery, and optimization of binary coding patterns used in multiplexed imaging systems