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Algebraic models for the reconstruction problem in X-ray computed tomography(CT) provide a flexible framework that applies to many measurement geometries.For large-scale problems we need to use iterative solvers, and we need stoppingrules for these methods that terminate the iterations when we have computed asatisfactory reconstruction that balances the reconstruction error and theinfluence of noise from the measurements. Many such stopping rules aredeveloped in the inverse problems communities, but they have not attained muchattention in the CT world. The goal of this paper is to describe and illustratefour stopping rules that are relevant for CT reconstructions.

Stopping Rules for Algebraic Iterative Reconstruction Methods in Computed Tomography