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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 47, Iss. 32 — Nov. 10, 2008
  • pp: 6033–6039

Compensating the intensity fall-off effect in cone-beam tomography by an empirical weight formula

Zikuan Chen, Vince D. Calhoun, and Shengjiang Chang  »View Author Affiliations

Applied Optics, Vol. 47, Issue 32, pp. 6033-6039 (2008)

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The Feldkamp–David–Kress (FDK) algorithm is widely adopted for cone-beam reconstruction due to its one-dimensional filtered backprojection structure and parallel implementation. In a reconstruction volume, the conspicuous cone-beam artifact manifests as intensity fall-off along the longitudinal direction (the gantry rotation axis). This effect is inherent to circular cone-beam tomography due to the fact that a cone-beam dataset acquired from circular scanning fails to meet the data sufficiency condition for volume reconstruction. Upon observations of the intensity fall-off phenomenon associated with the FDK reconstruction of a ball phantom, we propose an empirical weight formula to compensate for the fall-off degradation. Specifically, a reciprocal cosine can be used to compensate the voxel values along longitudinal direction during three-dimensional backprojection reconstruction, in particular for boosting the values of voxels at positions with large cone angles. The intensity degradation within the z plane, albeit insignificant, can also be compensated by using the same weight formula through a parameter for radial distance dependence. Computer simulations and phantom experiments are presented to demonstrate the compensation effectiveness of the fall-off effect inherent in circular cone-beam tomography.

© 2008 Optical Society of America

OCIS Codes
(100.3020) Image processing : Image reconstruction-restoration
(100.6950) Image processing : Tomographic image processing
(110.6960) Imaging systems : Tomography

ToC Category:
Image Processing

Original Manuscript: April 23, 2007
Revised Manuscript: July 29, 2008
Manuscript Accepted: September 14, 2008
Published: November 5, 2008

Virtual Issues
Vol. 4, Iss. 1 Virtual Journal for Biomedical Optics

Zikuan Chen, Vince D. Calhoun, and Shengjiang Chang, "Compensating the intensity fall-off effect in cone-beam tomography by an empirical weight formula," Appl. Opt. 47, 6033-6039 (2008)

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