Towards clinical application of a laplace operator-based region of interest reconstruction algorithm in c-Arm Ct

Yan Xia, Hannes Hofmann, Frank Dennerlein, Kerstin Mueller, Chris Schwemmer, Sebastian Bauer, Gouthami Chintalapani, Ponraj Chinnadurai, Joachim Hornegger, Andreas Maier

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


It is known that a reduction of the field-of-view in 3-D X-ray imaging is proportional to a reduction in radiation dose. The resulting truncation, however, is incompatible with conventional reconstruction algorithms. Recently, a novel method for region of interest reconstruction that uses neither prior knowledge nor extrapolation has been published, named approximated truncation robust algorithm for computed tomography (ATRACT). It is based on a decomposition of the standard ramp filter into a 2-D Laplace filtering and a 2-D Radon-based residual filtering step. In this paper, we present two variants of the original ATRACT. One is based on expressing the residual filter as an efficient 2-D convolution with an analytically derived kernel. The second variant is to apply ATRACT in 1-D to further reduce computational complexity. The proposed algorithms were evaluated by using a reconstruction benchmark, as well as two clinical data sets. The results are encouraging since the proposed algorithms achieve a speed-up factor of up to 245 compared to the 2-D Radon-based ATRACT. Reconstructions of high accuracy are obtained, e.g., even real-data reconstruction in the presence of severe truncation achieve a relative root mean square error of as little as 0.92% with respect to nontruncated data.

Original languageEnglish (US)
Article number6670089
Pages (from-to)593-606
Number of pages14
JournalIEEE Transactions on Medical Imaging
Issue number3
StatePublished - Mar 2014


  • C-arm CT
  • dose reduction
  • image reconstruction
  • region of interest
  • truncation
  • truncation artifact

ASJC Scopus subject areas

  • Software
  • Radiological and Ultrasound Technology
  • Computer Science Applications
  • Electrical and Electronic Engineering


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