Cone-beam local reconstruction based on Radon inversion transform

doi:10.1088/1674-1056/21/11/118702

中国物理B ›› 2012, Vol. 21 ›› Issue (11): 118702-118702.doi: 10.1088/1674-1056/21/11/118702

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Cone-beam local reconstruction based on Radon inversion transform

汪先超, 闫镔, 李磊, 胡国恩

National Digital Switching System Engineering and Technological Research Center, Zhengzhou 450002, China

收稿日期:2012-04-28 修回日期:2012-05-24 出版日期:2012-10-01 发布日期:2012-10-01
基金资助:
Project supported by the National High Technology Research and Development Program of China (Grant No. 2012AA011603).

Cone-beam local reconstruction based on Radon inversion transform

Wang Xian-Chao (汪先超), Yan Bin (闫镔), Li Lei (李磊), Hu Guo-En (胡国恩 )

National Digital Switching System Engineering and Technological Research Center, Zhengzhou 450002, China

Received:2012-04-28 Revised:2012-05-24 Online:2012-10-01 Published:2012-10-01
Contact: Yan Bin E-mail:ybspace@yahoo.com.cn
Supported by:
Project supported by the National High Technology Research and Development Program of China (Grant No. 2012AA011603).

摘要/Abstract

摘要： The local reconstruction from truncated projection data is one area of interest in image reconstruction for computed tomography (CT), which creates the possibility for dose reduction. In this paper, a filtered-backprojection (FBP) algorithm based on the Radon inversion transform is presented to deal with the three-dimensional (3D) local reconstruction in the circular geometry. The algorithm achieves the data filtering in two steps. The first step is the derivative of projections, which acts locally on the data and can thus be carried out accurately even in the presence of data truncation. The second step is the nonlocal Hilbert filtering. The numerical simulations and the real data reconstructions have been conducted to validate the new reconstruction algorithm. Compared with the approximate truncation resistant algorithm for computed tomography (ATRACT), not only it has a comparable ability to restrain truncation artifacts, but also its reconstruction efficiency is improved. It is about twice as fast as that of the ATRACT. Therefore, this work provides a simple and efficient approach for the approximate reconstruction from truncated projections in the circular cone-beam CT.

关键词: computed tomography, image reconstruction, truncated data, Radon inversion transform

Abstract: The local reconstruction from truncated projection data is one area of interest in image reconstruction for computed tomography (CT), which creates the possibility for dose reduction. In this paper, a filtered-backprojection (FBP) algorithm based on the Radon inversion transform is presented to deal with the three-dimensional (3D) local reconstruction in the circular geometry. The algorithm achieves the data filtering in two steps. The first step is the derivative of projections, which acts locally on the data and can thus be carried out accurately even in the presence of data truncation. The second step is the nonlocal Hilbert filtering. The numerical simulations and the real data reconstructions have been conducted to validate the new reconstruction algorithm. Compared with the approximate truncation resistant algorithm for computed tomography (ATRACT), not only it has a comparable ability to restrain truncation artifacts, but also its reconstruction efficiency is improved. It is about twice as fast as that of the ATRACT. Therefore, this work provides a simple and efficient approach for the approximate reconstruction from truncated projections in the circular cone-beam CT.

Key words: computed tomography, image reconstruction, truncated data, Radon inversion transform

中图分类号: (X-ray imaging)

87.59.-e

07.85.-m (X- and γ-ray instruments)

汪先超, 闫镔, 李磊, 胡国恩 . Cone-beam local reconstruction based on Radon inversion transform[J]. 中国物理B, 2012, 21(11): 118702-118702.

Wang Xian-Chao (汪先超), Yan Bin (闫镔), Li Lei (李磊), Hu Guo-En (胡国恩 ). Cone-beam local reconstruction based on Radon inversion transform[J]. Chin. Phys. B, 2012, 21(11): 118702-118702.

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Cone-beam local reconstruction based on Radon inversion transform

Cone-beam local reconstruction based on Radon inversion transform

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