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We estimate the minimum SNR necessary for object detection in the projection domain. We assume there is a set of objects O and we study an ideal observer that sequentially compares each member of O to the null hypothesis. This reduces to one-dimensional signal detection between two Gaussians. We find that for a search task of a circular 6 mm lesion in a region of interest 60 mm by 60 mm by 10 slices, and for a required sensitivity of 80% and specificity of 80%, the minimum required projection SNR is 5.1, a finding reminiscent of the Rose criterion.
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Scott S. Hsieh, Lifeng Yu, Nathan R Huber, Shuai Leng, Cynthia H. McCollough, "Estimating the minimum SNR necessary for object detection in the projection domain," Proc. SPIE 12031, Medical Imaging 2022: Physics of Medical Imaging, 120310T (4 April 2022); https://doi.org/10.1117/12.2611564