title: Optimal frequency-based weighting for spectral x-ray projection imaging.
abstract: The purpose of this work is to derive a weighting scheme that maximizes the frequency-dependent ideal observer signal-difference-to-noise ratio, commonly referred to as detectability index or Hotelling-SDNR, for spectral X-ray projection imaging. Starting from basic statistical decision theory, optimal frequency-dependent weights are derived for a multiple-bin system and the Hotelling-SDNR calculated. A 28% increase in detectability index is found for high frequency objects when applying optimal frequency-dependent weights instead of pixel-based weights to a simplified model of a silicon detector, decreasing towards 0% for low frequency objects. Simulation results indicate a potentially large increase in detectability for high-frequency object imaging using silicon detectors, thus meriting further evaluations on a real system.
authors.forename: Moa
authors.initials: M
authors.lastname: Yveborg
authors.forename: Mats
authors.initials: M
authors.lastname: Persson
authors.forename: Hans
authors.initials: H
authors.lastname: Bornefalk
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D003662:Decision Theory; D006801:Humans; D007091:Image Processing, Computer-Assisted; D008962:Models, Theoretical; D017785:Photons; D059629:Signal-To-Noise Ratio; D014057:Tomography, X-Ray Computed / Q000379:methods*