Paper Info
Title
3D forward and back-projection for X-ray CT using separable footprints.
Abstract
Iterative methods for 3D image reconstruction have the potential to improve image quality over conventional filtered back projection (FBP) in X-ray computed tomography (CT). However, the computation burden of 3D cone-beam forward and back-projectors is one of the greatest challenges facing practical adoption of iterative methods for X-ray CT. Moreover, projector accuracy is also important for iterative methods. This paper describes two new separable footprint (SF) projector methods that approximate the voxel footprint functions as 2D separable functions. Because of the separability of these footprint functions, calculating their integrals over a detector cell is greatly simplified and can be implemented efficiently. The SF-TR projector uses trapezoid functions in the transaxial direction and rectangular functions in the axial direction, whereas the SF-TT projector uses trapezoid functions in both directions. Simulations and experiments showed that both SF projector methods are more accurate than the distance-driven (DD) projector, which is a current state-of-the-art method in the field. The SF-TT projector is more accurate than the SF-TR projector for rays associated with large cone angles. The SF-TR projector has similar computation speed with the DD projector and the SF-TT projector is about two times slower.
Year
DOI
Venue
2010
10.1109/TMI.2010.2050898
IEEE Trans. Med. Imaging
Keywords
DocType
Volume
diagnostic radiography,computerised tomography,3d forward projection,x-ray ct,sf-tt projector,x-ray computed tomography,3d image reconstruction,image reconstruction,distance-driven projector,3d back-projection,iterative tomographic image reconstruction,sf-tr projector,forward and back-projection,iterative methods,medical image processing,cone-beam tomography,separable footprints,filtered back projection,computed tomography,geometry,detectors,image quality,artificial intelligence,3d imaging,algorithms,iteration method
Journal
29
Issue
ISSN
Citations 
11
1558-254X
32
PageRank 
References 
Authors
2.87
11
3
Name
Order
Citations
PageRank
Yong Long1464.89
J. A. Fessler21743229.34
James M. Balter3638.12