3D Forward and Back-Projection for X-Ray CT Using Separable Footprints

作者: Yong Long , Jeffrey A Fessler , James M Balter

DOI: 10.1109/TMI.2010.2050898

关键词:

摘要: Iterative methods for 3D image reconstruction have the potential to improve quality over conventional filtered back projection (FBP) in X-ray computed tomography (CT). However, computation burden of cone-beam forward and back-projectors is one greatest challenges facing practical adoption iterative CT. Moreover, projector accuracy also important methods. This paper describes two new separable footprint (SF) that approximate voxel functions as 2D functions. Because separability these functions, calculating their integrals a detector cell greatly simplified can be implemented efficiently. The SF-TR uses trapezoid transaxial direction rectangular axial direction, whereas SF-TT both directions. Simulations experiments showed SF are more accurate than distance-driven (DD) projector, which current state-of-the-art method field. rays associated with large cone angles. has similar speed DD about times slower.

参考文章(43)
Johan Sunnegårdh, Per-Erik Danielsson, A new anti-aliased projection operator for iterative CT reconstruction Proceedings of the Ninth International Meeting on Fully Three-dimensional Image Reconstruction in Radiology and Nuclear Medicine, Lindau, Germany, July 9-13, 2007. ,(2007)
Richard M. Leahy, Jinyi Qi, Statistical approaches in quantitative positron emissiontomography Statistics and Computing. ,vol. 10, pp. 147- 165 ,(2000) , 10.1023/A:1008946426658
T. M. Peters, Algorithms for Fast Back- and Re-Projection in Computed Tomography IEEE Transactions on Nuclear Science. ,vol. 28, pp. 3641- 3647 ,(1981) , 10.1109/TNS.1981.4331812
G. H. Glover, N. J. Pelc, Nonlinear partial volume artifacts in x-ray computed tomography Medical Physics. ,vol. 7, pp. 238- 248 ,(1980) , 10.1118/1.594678
Jolyon A. Browne, John M. Boone, Timothy J. Holmes, Maximum-likelihood x-ray computed-tomography finite-beamwidth considerations Applied Optics. ,vol. 34, pp. 5199- 5209 ,(1995) , 10.1364/AO.34.005199
Wojciech Zbijewski, Freek J Beekman, Comparison of methods for suppressing edge and aliasing artefacts in iterative x-ray CT reconstruction. Physics in Medicine and Biology. ,vol. 51, pp. 1877- 1889 ,(2006) , 10.1088/0031-9155/51/7/017
Colas Schretter, A fast tube of response ray-tracer. Medical Physics. ,vol. 33, pp. 4744- 4748 ,(2006) , 10.1118/1.2369467
Jean-Baptiste Thibault, Ken D. Sauer, Charles A. Bouman, Jiang Hsieh, A three-dimensional statistical approach to improved image quality for multislice helical CT. Medical Physics. ,vol. 34, pp. 4526- 4544 ,(2007) , 10.1118/1.2789499
Wolfgang Birkfellner, Rudolf Seemann, Michael Figl, Johann Hummel, Christopher Ede, Peter Homolka, Xinhui Yang, Peter Niederer, Helmar Bergmann, Wobbled splatting--a fast perspective volume rendering method for simulation of x-ray images from CT. Physics in Medicine and Biology. ,vol. 50, ,(2005) , 10.1088/0031-9155/50/9/N01
Z.H. Cho, C.M. Chen, S. Lee, Incremental algorithm-a new fast backprojection scheme for parallel beam geometries IEEE Transactions on Medical Imaging. ,vol. 9, pp. 207- 217 ,(1990) , 10.1109/42.56333