Features such as particles, pores, or cracks are challenging to measure accurately in CT data when they are small relative to the data resolution, characterized as a point-spread function (PSF). These challenges are particularly acute when paired with segmentation, as the PSF distributes some of the signal from a voxel among neighboring ones; effectively dispersing some of the signal from a given object to a region outside of it. Any feature of interest with one or more dimensions on the order of the PSF will be impacted by this effect, and measurements based on global thresholds necessarily fail. Measurements of the same features should be consistent across different instruments and data resolutions. The PVB (partial volume and blurring) method successfully compensates by quantifying features that are small in all three dimensions based on their attenuation anomaly. By calibrating the CT number of the phase of interest (in this case, gold) it is possible to accurately measure particles down to <6 voxels in data acquired on two instruments, 14 years apart, despite severe artifacts. Altogether, the PVB method is accurate, reproducible, resolution-invariant, and objective; it is also notable for its favorable error structure. The principal challenge is the need for representative effective CT numbers, which reflect not only the features of interest themselves, but also the X-ray spectrum, the size, shape and composition of the enclosing sample, and processing details such as beam-hardening correction. Empirical calibration is the most effective approach.
This paper describes a set of algorithms that enable virtually complete ring artifact removal from tomographic imagery
with minimal to negligible contamination of the underlying data. These procedures were created specifically to deal
with data as acquired at the University of Texas high-resolution X-ray CT facility, but are likely to be applicable in other
settings as well. In most cases corrections are optimally applied to sinogram data before reconstruction, but a variant is
developed for correcting already-reconstructed images. The algorithms make particular use of repetitive aspects of the
artifact across images to improve behavior. However, fully utilizing this functionality requires processing entire data
sets simultaneously, rather than one image at a time. A number of parameters may be adjusted to optimize results for
particular data sets.
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