Derivative-Hilbert-Backprojection based image reconstruction from truncated projections in helical cone-beam CT

Feng ZHANG; Bin YAN; Lei LI; Xiao-Qi XI; Hua JIANG; Xing WEI; Xiang ZHANG; Jin-Xian CUI

doi:10.13538/j.1001-8042/nst.26.020401

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Derivative-Hilbert-Backprojection based image reconstruction from truncated projections in helical cone-beam CT

NUCLEAR ELECTRONICS AND INSTRUMENTATION | Updated：2021-01-20

- Derivative-Hilbert-Backprojection based image reconstruction from truncated projections in helical cone-beam CT
- Nuclear Science and Techniques Vol. 26, Issue 2, Article number: 020401(2015)
- Affiliations：
  
  1.National Digital Switching System Engineering & Technology Research Center, Zhengzhou 450002, China
- Author bio：
  
  Corresponding author, tom.yan@gmail.com
- Funds：
- DOI：10.13538/j.1001-8042/nst.26.020401
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Feng ZHANG, Bin YAN, Lei LI, et al. Derivative-Hilbert-Backprojection based image reconstruction from truncated projections in helical cone-beam CT. [J]. Nuclear Science and Techniques 26(2):020401(2015)
DOI：

Feng ZHANG, Bin YAN, Lei LI, et al. Derivative-Hilbert-Backprojection based image reconstruction from truncated projections in helical cone-beam CT. [J]. Nuclear Science and Techniques 26(2):020401(2015) DOI： 10.13538/j.1001-8042/nst.26.020401.

摘要

Abstract

In helical cone-beam computed tomography (CT), Feldkamp-Davis-Kress (FDK) based image reconstruction algorithms are by far the most popular. However, artifacts are commonly met in the presence of lateral projection truncation. The reason is that the ramp filter is global. To restrain the truncation artifacts, an approximate reconstruction formula is proposed based on the Derivative-Hilbert-Backprojection (DHB) framework. In the method, the first order derivative filter is followed by the Hilbert transform. Since the filtered projection values are almost zero by the first order derivative filter, the following Hilbert transform has little influence on the projection values, even though the projections are laterally truncated. The proposed method has two main advantages. First, it has comparable computational efficiency and image quality as well as the conventional helical FDK algorithm for non-truncated projections. The second advantage is that images can be reconstructed with acceptable quality and much lower computational cost in comparison to the Laplace operator based algorithm in cases with truncated projections. To point out the advantages of our method, simulations on the computer and real data experiments on our laboratory industrial cone-beam CT are conducted. The simulated and experimental results demonstrate that the method is feasible for image reconstruction in the case of projection truncation.

关键词

Keywords

Helical cone-beam CTImage reconstructionTruncation artifactsDerivative-Hilbert-Backprojection

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