19 March 2007 Fast variance predictions for 3D cone-beam CT with quadratic regularization
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Abstract
Fast and accurate variance/covariance predictions are useful for analyzing the statistical characteristics of the reconstructed images and may aid regularization parameters selection. The existing methods, the matrix-based method and its DFT approximations, are impractical for realistic data size in X-ray CT. We have previously addressed this problem in 2D fan-beam CT by proposing "analytical" approaches, the simplest of which requires computation equivalent to one backprojection and some summations. This paper extends these approaches to 3D step-and-shoot "cylindrical" cone-beam CT.
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Yingying Zhang-O'Connor, Yingying Zhang-O'Connor, Jeffrey A. Fessler, Jeffrey A. Fessler, } "Fast variance predictions for 3D cone-beam CT with quadratic regularization", Proc. SPIE 6510, Medical Imaging 2007: Physics of Medical Imaging, 65105W (19 March 2007); doi: 10.1117/12.710312; https://doi.org/10.1117/12.710312
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