Hotelling trace criterion as a figure of merit for the optimization of imaging systems

A scalar figure of merit is presented that characterizes how well two or more object classes are separated for classification purposes. This scalar, the Hotelling trace criterion (HTC), can also be used as a measure of the performance of an imaging system in maintaining object-class separability. As an example, the HTC is applied to finding the optimum placement of pinholes in a simple coded-aperture system. Such a system could be used for tomographic imaging in nuclear medicine.

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