Nuclear Science and Techniques

《核技术》(英文版) ISSN 1001-8042 CN 31-1559/TL     2019 Impact factor 1.556

Nuclear Science and Techniques ›› 2015, Vol. 26 ›› Issue (2): 020401 doi: 10.13538/j.1001-8042/nst.26.020401


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

ZHANG Feng (张峰),1 YAN Bin (闫镔),1, y LI Lei (李磊),1 XI Xiao-Qi (席晓琦),1 JIANG Hua (江桦),1 WEI Xing (魏星),1 ZHANG Xiang (张翔),1 and CUI Jin-Xian (崔进鲜)1   

  1. 1National Digital Switching System Engineering & Technology Research Center, Zhengzhou 450002, China
  • Contact: YAN Bin
  • Supported by:

    Supported by the National High Technology Research and Development
    Program of China (No. 2012AA011603) and National Nature Science
    Foundation of China (No. 61372172)

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ZHANG Feng, LI Lei, YAN Bin, XI Xiao-Qi, JIANG Hua, WEI Xing, ZHANG Xiang, and CUI Jin-Xian . Derivative-Hilbert-Backprojection based image reconstruction from truncated projections in helical cone-beam CT.Nuclear Science and Techniques, 2015, 26(2): 020401     doi: 10.13538/j.1001-8042/nst.26.020401


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

Key words: Helical cone-beam CT, Image reconstruction, Truncation artifacts, Derivative-Hilbert-Backprojection