Sampling and aliasing consequences of quarter-detector offset use in helical CT

• Published in: IEEE transactions on medical imaging 2004-06, Vol.23 (6), p.738-749
• Main Authors: La Riviere, P.J., Xiaochuan Pan
• Format: Article
• Language: English
• Subjects: Algorithms; Aliasing; Computed tomography; Crosstalk; Detectors; Fourier analysis; Geometry; Head - diagnostic imaging; Helical; Humans; Image analysis; Image reconstruction; Image sampling; Imaging, Three-Dimensional - methods; Medical imaging; Multidimensional systems; Phantoms, Imaging; Radiographic Image Enhancement - methods; Radiographic Image Interpretation, Computer-Assisted - methods; Radiology; Redundancy; Reproducibility of Results; Sample Size; Sampling; Sampling methods; Sensitivity and Specificity; Signal Processing, Computer-Assisted; Spectra; Tomography, Spiral Computed - methods
• ISSN: 0278-0062; 1558-254X
• DOI: 10.1109/TMI.2004.826950

In this paper, the sampling and aliasing consequences of employing a quarter-detector-offset (QDO) in helical computed tomography (CT) are analyzed. QDO is often used in conventional CT to reduce in-plane aliasing by eliminating data redundancies to improve radial sampling. In helical CT, these same redundancies are exploited to improve longitudinal sampling and so it might seem ill-advised to employ QDO. The relative merit of the two geometries for helical CT is studied by conducting a multidimensional sampling analysis of projection-space sampling as well as a Fourier crosstalk analysis of crosstalk among the object's Fourier basis components. Both a standard fanbeam helical CT geometry and a hypothetical parallel-beam CT geometry, which helps illuminate the more complicated fanbeam results, are analyzed. Using the sampling analysis, it was found that the use of QDO leads to very different spectral tiling than arise when not using QDO. However, due to the shape of the essential support of the projection data spectra that arises in practice, both configurations lead to very similar or identical amounts of spectral overlap. This perspective also predicts the spatially variant longitudinal aliasing that has been observed in helical CT. The crosstalk results were consistent with those of the multidimensional sampling analysis. Thus, from the standpoint of aliasing and crosstalk, no compelling difference is found between the two geometries.