Comparison of two three-dimensional x-ray cone-beam-reconstruction algorithms with circular source trajectories

Rizo, P.; Grangeat, Pierre; Sire, Pascal; Lemasson, Ph.; Melennec, Pierre

doi:10.1364/josaa.8.001639

Cited by 36 publications

(27 citation statements)

References 8 publications

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“…One approach aims to correct for the missing data via Radon space interpolation. [13][14][15] However, Radon-based correction methods tend to be less time effective than standard backprojection algorithms, and to perform poorly with axially truncated data. Yang et al, 16 more recently, proposed a shift-variant, filtered-backprojection method that includes estimated information outside of the Radon torus, potentially providing a more feasible implementation.…”

Section: Introductionmentioning

confidence: 99%

A local shift‐variant Fourier model and experimental validation of circular cone‐beam computed tomography artifacts

et al. 2009

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Large field of view cone-beam computed tomography ͑CBCT͒ is being achieved using circular source and detector trajectories. These circular trajectories are known to collect insufficient data for accurate image reconstruction. Although various descriptions of the missing information exist, the manifestation of this lack of data in reconstructed images is generally nonintuitive. One model predicts that the missing information corresponds to a shift-variant cone of missing frequency components. This description implies that artifacts depend on the imaging geometry, as well as the frequency content of the imaged object. In particular, objects with a large proportion of energy distributed over frequency bands that coincide with the missing cone will be most compromised. These predictions were experimentally verified by imaging small, localized objects ͑acrylic spheres, stacked disks͒ at varying positions in the object space and observing the frequency spectrums of the reconstructions. Measurements of the internal angle of the missing cone agreed well with theory, indicating a right circular cone for points on the rotation axis, and an oblique, circular cone elsewhere. In the former case, the largest internal angle with respect to the vertical axis corresponds to the ͑half͒ cone angle of the CBCT system ͑typically ϳ5°-7.5°in IGRT͒. Object recovery was also found to be strongly dependent on the distribution of the object's frequency spectrum relative to the missing cone, as expected. The observed artifacts were also reproducible via removal of local frequency components, further supporting the theoretical model. Larger objects with differing internal structures ͑cellular polyurethane, solid acrylic͒ were also imaged and interpreted with respect to the previous results. Finally, small animal data obtained using a clinical CBCT scanner were observed for evidence of the missing cone. This study provides insight into the influence of incomplete data collection on the appearance of objects imaged in large field of view CBCT.

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Section: Introductionmentioning

confidence: 99%

A local shift‐variant Fourier model and experimental validation of circular cone‐beam computed tomography artifacts

et al. 2009

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“…The cone beam aperture is therefore limited to 6°. This aperture is compatible with the use offiltered backprojection algorithms without introducing drastic artifacts [12). We use the Feldkamp algorithm [13] to process our data.…”

Section: Data Processingmentioning

confidence: 99%

Development of a 3D Cone Beam Facility Dedicated to the Detection of Small Flaws in Large Si3N4 Parts

Rizo

Antonakios

Casagrande³

et al. 1997

Review of Progress in Quantitative Nondestructive Evaluation

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“…As yet, there are no clinical cone-beam scanners, although a variety of cone-beam algorithms have been proposed in the mid-80s. Present cone-beam algorithms are mostly based on FBP [5][8] [21] (see also [17] [22] for comparisons and reviews). However, more recent research [14] has demonstrated that ART (with certain modifications) and SART can reconstruct general cone-beam data as well, at high accuracy and even for large cone-angles of up to 60˚.…”

Section: Introductionmentioning

confidence: 99%

<title>Use of graphics hardware to accelerate algebraic reconstruction methods</title>

Mueller

Yagel

1999

Medical Imaging 1999: Physics of Medical Imaging

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The Algebraic Reconstruction Technique (ART) reconstructs a 2D or 3D object from its projections. It has, in certain scenarios, many advantages over the more popular Filtered Backprojection approaches and has also recently been shown to perform well for 3D cone-beam reconstruction. However, so far, ART's slow speed has prohibited its routine use in clinical applications. Currently, a software implementation requires several hours for a 3D reconstruction, even on modest reconstruction grid sizes. Although one solution to combat these problems would be the time-consuming design of expensive custom accelerator boards, we would rather like to resort to existing and widely available hardware for our purposes. In this sense, we find that ART's main operations, i.e., volume projections and image backprojections, can be performed very rapidly on standard 2D texture mapping hardware, resident in many graphics workstations and PC graphics boards. In this paper, we discuss the use of this hardware in two volume decomposition modes: voxel and slice. Although we find that the speedups obtained in the voxel mode are respectable, the speedups obtained in the slice-mode are tremendous. Here, a quality cone-beam reconstruction on a 128 3 grid can be obtained in less than 2 minutes, which corresponds to a speedup of over 70. Since our rapid ART reconstruction algorithm can be run on the same workstations that are typically used for the viewing of clinical datasets, it is immediately available for routine parallel-and cone-beam CT.

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Comparison of two three-dimensional x-ray cone-beam-reconstruction algorithms with circular source trajectories

Cited by 36 publications

References 8 publications

A local shift‐variant Fourier model and experimental validation of circular cone‐beam computed tomography artifacts

A local shift‐variant Fourier model and experimental validation of circular cone‐beam computed tomography artifacts

Development of a 3D Cone Beam Facility Dedicated to the Detection of Small Flaws in Large Si3N4 Parts

<title>Use of graphics hardware to accelerate algebraic reconstruction methods</title>

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