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Article Dans Une Revue Physics in Medicine and Biology Année : 2022

Tiny changes in tomographic system matrices can cause large changes in reconstruction quality

Résumé

This paper studies the impact of tiny changes in region-of-interest (ROI) tomography system matrices on the variance of the reconstructed ROI. In small-scale and medium-scale examples, the variance in the reconstructed ROI was estimated for different system matrices. The results revealed a striking and counterintuitive phenomenon: a tiny change in the system matrix can dramatically affect the variance of the ROI estimate. In one of our examples, a decrease of 0.1% in one element out of hundreds of thousands of the system matrix resulted in a systematic reduction of the variance inside the ROI, and by a factor of 5 to 10 for some pixels. Our results agree with a recently proven theorem about the ability of additional measurements to reduce the variance in ROI tomography.
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Dates et versions

hal-03637819 , version 1 (11-04-2022)

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Feriel Khellaf, Rolf Clackdoyle, Simon Rit, Laurent Desbat. Tiny changes in tomographic system matrices can cause large changes in reconstruction quality. Physics in Medicine and Biology, 2022, 67 (10), ⟨10.1088/1361-6560/ac65d5⟩. ⟨hal-03637819⟩
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