Abstract
The method takes into account the frequency spectrum of the object to be visualized and uses a computerized three-dimensional ray tracing technique to compute the collimator line spread function (LSF) for any specified combination of collimator parameters and photon energy. The modulation transfer function (MTF) of the collimator is then computer from the LSF, and the overall MTF is found by taking the product of the collimator and detector MTFs. A figure of merit equal to the product of the MTF2 and the sensitivity is calculated for each frequency, and an objective function defined as the convolution of the figure of merit with the weighted Fourier spectrum of the object is calculated. The objective function is then maximized using a pattern search technique to find the optimum collimator design. The method was verified by an experimental evaluation of the performance characteristics of three commercial low energy collimators.
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