New filtered-backprojection-based algorithms for image reconstruction in fan-beam scans

Dan Xia, Yu Zou, Lifeng Yu, Xiaochuan Pan

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations


Fan-beam scan is a configuration widely used in clinical computed tomography (CT) because it is easy to implement and control. Filtered-backprojection(FBP)-based algorithms have been developed previously for exact reconstruction of the entire image or an ROI within the image from the data acuqired in fan-beam scans. Recently, we have developed a 3D FBP-based algorithm for image reconstruction on Pi-line segments in a helical cone-beam scan. In this work, we demonstrated that the 3D FBP-based algorithm indeed provided a rather general FBP-based formulation for image reconstruction. Based upon this formulation we derived new FBP-based algorithms for image reconstruction in the fan-beam scans, which can be interpreted as the special case of the helical scan. Existing algorithms corresponding to the new derived algorithms were identified. We also performed a preliminary numerical study to verify our theoretical results. The results in the work can readily be generalized to other non-circular trajectories.

Original languageEnglish (US)
Article numberM2-193
Pages (from-to)2530-2533
Number of pages4
JournalIEEE Nuclear Science Symposium Conference Record
StatePublished - Dec 1 2004
Event2004 Nuclear Science Symposium, Medical Imaging Conference, Symposium on Nuclear Power Systems and the 14th International Workshop on Room Temperature Semiconductor X- and Gamma- Ray Detectors - Rome, Italy
Duration: Oct 16 2004Oct 22 2004


  • Computed tomography (CT)
  • Fan-beam
  • Image reconstruction

ASJC Scopus subject areas

  • Radiation
  • Nuclear and High Energy Physics
  • Radiology Nuclear Medicine and imaging


Dive into the research topics of 'New filtered-backprojection-based algorithms for image reconstruction in fan-beam scans'. Together they form a unique fingerprint.

Cite this