1998
DOI: 10.1088/0031-9155/43/4/009
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The dual-ellipse cross vertex path for exact reconstruction of long objects in cone-beam tomography

Abstract: We investigate the way data are used in the algorithm proposed by Kudo and Saito for the exact reconstruction of long objects from axially truncated cone-beam projections. Specifically, we show that the algorithm wastes a large part of the data. To overcome the problem, we propose to use a vertex path consisting of two crossing ellipses, for which we devised a new reconstruction algorithm, called the cross algorithm, which does not waste data and is still suitable to exactly handle axial truncation. Results of… Show more

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Cited by 26 publications
(27 citation statements)
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References 16 publications
(23 reference statements)
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“…Several modified trajectories, such as circle-plus-arc, circle-plus-line, dualcircle, or saddle trajectories ( Fig. 6; [21][22][23][24][25][26][27][28]) try to resolve the first problem listed above (missing frequency data). In , a phantom known to demonstrate such a problem is shown for just a single-circle trajectory on the left and a dual-circle trajectory on the right.…”
Section: Cone-beam Step-and-shoot Reconstructionmentioning
confidence: 99%
“…Several modified trajectories, such as circle-plus-arc, circle-plus-line, dualcircle, or saddle trajectories ( Fig. 6; [21][22][23][24][25][26][27][28]) try to resolve the first problem listed above (missing frequency data). In , a phantom known to demonstrate such a problem is shown for just a single-circle trajectory on the left and a dual-circle trajectory on the right.…”
Section: Cone-beam Step-and-shoot Reconstructionmentioning
confidence: 99%
“…For example, orthogonal and oblique dual orbits were proposed in Refs. 6 and 15 and reconstruction algorithms based on the 3D Radon inversion formula 16,17 and filtered backprojection 18,19 were developed. The orthogonal circle-and-line, 20 saddle, [21][22][23] and helical orbits [24][25][26][27][28] were also investigated by several authors.…”
Section: -3mentioning
confidence: 99%
“…Such capability provides acquisition modes that increase field of view (Herbst et al 2014) and/or improve image quality (e.g. reduction of cone-beam artifacts as in Noo et al (1998), Pack et al (2004), and Pearson et al (2010)). Additionally, recent work points to ‘task-driven’ image acquisition approaches (Stayman and Siewerdsen 2013) that customize the source-detector orbit based on the individual patient anatomy and imaging task.…”
Section: Introductionmentioning
confidence: 99%