Projection matrix acquisition for cone-beam computed tomography iterative reconstruction

Fuqiang Yang; Dinghua Zhang; Kuidong Huang; Wenlong Shi; Caixin Zhang; Zongzhao Gao

doi:10.1117/12.2269014

Projection matrix acquisition for cone-beam computed tomography iterative reconstruction

Fuqiang Yang, Dinghua Zhang, Kuidong Huang, Wenlong Shi, Caixin Zhang, Zongzhao Gao

School of Mechanical Engineering

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Conference article › peer-review

2 Scopus citations

Abstract

Projection matrix is an essential and time-consuming part in computed tomography (CT) iterative reconstruction. In this article a novel calculation algorithm of three-dimensional (3D) projection matrix is proposed to quickly acquire the matrix for cone-beam CT (CBCT). The CT data needed to be reconstructed is considered as consisting of the three orthogonal sets of equally spaced and parallel planes, rather than the individual voxels. After getting the intersections the rays with the surfaces of the voxels, the coordinate points and vertex is compared to obtain the index value that the ray traversed. Without considering ray-slope to voxel, it just need comparing the position of two points. Finally, the computer simulation is used to verify the effectiveness of the algorithm.

Original language	English
Article number	102560J
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	10256
DOIs	https://doi.org/10.1117/12.2269014
State	Published - 2017
Event	2nd International Conference on Photonics and Optical Engineering - Xi'an, China Duration: 14 Oct 2016 → …

Keywords

Cone-beam CT
Iterative reconstruction
Projection matrix
Voxel

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10.1117/12.2269014

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title = "Projection matrix acquisition for cone-beam computed tomography iterative reconstruction",

abstract = "Projection matrix is an essential and time-consuming part in computed tomography (CT) iterative reconstruction. In this article a novel calculation algorithm of three-dimensional (3D) projection matrix is proposed to quickly acquire the matrix for cone-beam CT (CBCT). The CT data needed to be reconstructed is considered as consisting of the three orthogonal sets of equally spaced and parallel planes, rather than the individual voxels. After getting the intersections the rays with the surfaces of the voxels, the coordinate points and vertex is compared to obtain the index value that the ray traversed. Without considering ray-slope to voxel, it just need comparing the position of two points. Finally, the computer simulation is used to verify the effectiveness of the algorithm.",

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author = "Fuqiang Yang and Dinghua Zhang and Kuidong Huang and Wenlong Shi and Caixin Zhang and Zongzhao Gao",

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T1 - Projection matrix acquisition for cone-beam computed tomography iterative reconstruction

AU - Yang, Fuqiang

AU - Zhang, Dinghua

AU - Huang, Kuidong

AU - Shi, Wenlong

AU - Zhang, Caixin

AU - Gao, Zongzhao

PY - 2017

Y1 - 2017

N2 - Projection matrix is an essential and time-consuming part in computed tomography (CT) iterative reconstruction. In this article a novel calculation algorithm of three-dimensional (3D) projection matrix is proposed to quickly acquire the matrix for cone-beam CT (CBCT). The CT data needed to be reconstructed is considered as consisting of the three orthogonal sets of equally spaced and parallel planes, rather than the individual voxels. After getting the intersections the rays with the surfaces of the voxels, the coordinate points and vertex is compared to obtain the index value that the ray traversed. Without considering ray-slope to voxel, it just need comparing the position of two points. Finally, the computer simulation is used to verify the effectiveness of the algorithm.

AB - Projection matrix is an essential and time-consuming part in computed tomography (CT) iterative reconstruction. In this article a novel calculation algorithm of three-dimensional (3D) projection matrix is proposed to quickly acquire the matrix for cone-beam CT (CBCT). The CT data needed to be reconstructed is considered as consisting of the three orthogonal sets of equally spaced and parallel planes, rather than the individual voxels. After getting the intersections the rays with the surfaces of the voxels, the coordinate points and vertex is compared to obtain the index value that the ray traversed. Without considering ray-slope to voxel, it just need comparing the position of two points. Finally, the computer simulation is used to verify the effectiveness of the algorithm.

KW - Cone-beam CT

KW - Iterative reconstruction

KW - Projection matrix

KW - Voxel

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DO - 10.1117/12.2269014

M3 - 会议文章

AN - SCOPUS:85018803240

SN - 0277-786X

VL - 10256

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

M1 - 102560J

T2 - 2nd International Conference on Photonics and Optical Engineering

Y2 - 14 October 2016

ER -

Projection matrix acquisition for cone-beam computed tomography iterative reconstruction

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