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Computed tomography (CT) scanning over limited‐angular ranges (LARs) is of practical interest in possible reduction of imaging dose and time and in design of nonstandard scans. This work aims to investigate image reconstruction for two nonoverlapping arcs of LARs, and to demonstrate that they may allow more accurate image reconstruction than may a single arc of LAR.

We consider a configuration with two nonoverlapping arcs of LARs α1$\alpha _1$ and α2$\alpha _2$, whose centers are separated by 90∘$90^\circ$, and refer to it as a two‐orthogonal‐arc configuration. Data are generated from a chest phantom with two‐orthogonal‐arc configurations over total angular coverage ατ=α1+α2$\alpha _\tau =\alpha _1+\alpha _2$ ranging from 18∘$18^\circ$ to 180∘$180^\circ$, and images are reconstructed subsequently by use of the directional‐total‐variation (DTV) algorithm. For …