Local and global 3D noise power spectrum in cone-beam CT system with FDK reconstruction

Jongduk Baek, Norbert J. Pelc

Research output: Contribution to journalArticlepeer-review

53 Citations (Scopus)


Purpose: The authors examine the nonstationary noise behavior of a cone-beam CT system with FDK reconstruction. Methods: To investigate the nonstationary noise behavior, an analytical expression for the NPS of local volumes and an entire volume was derived and quantitatively compared to the NPS estimated from experimental air and water images. Results: The NPS of local volumes at different locations along the z -axis showed radial symmetry in the fx - fy plane and different missing cone regions in the fz direction depending on the tilt angle of rays through the local volumes. For local volumes away from the z -axis, the NPS of air and water images showed sharp transitions in the fx - fy and f y - fz planes and lack of radial symmetry in the f x - fy plane. These effects are mainly caused by varying magnification and different noise levels from view to view. In the NPS of the entire volume, the fx - fy plane showed radial symmetry because the nonstationary noise behaviors of local volumes were averaged out. The nonstationary sharp transitions were manifested as a high-frequency roll-off. Conclusions: The results from noise power analysis for local volumes and an entire volume demonstrate the spatially varying noise behavior in the reconstructed cone-beam CT images.

Original languageEnglish
Pages (from-to)2122-2131
Number of pages10
JournalMedical physics
Issue number4
Publication statusPublished - 2011 Apr

Bibliographical note

Funding Information:
This work is supported by GE Healthcare, NIH Grant No. EB006837, and the Lucas Foundation.

All Science Journal Classification (ASJC) codes

  • Biophysics
  • Radiology Nuclear Medicine and imaging


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