Statistical image reconstruction for polyenergetic X-ray computed tomography

被引:553
作者
Elbakri, IA [1 ]
Fessler, JA [1 ]
机构
[1] Univ Michigan, Dept Elect Engn & Comp Sci, Ann Arbor, MI 48109 USA
关键词
bearn hardening; penalized likelihood; statistical reconstruction; X-ray CT;
D O I
10.1109/42.993128
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper describes a statistical image reconstruction method for X-ray computed tomography (CT) that is based on a physical model that accounts for the polyenergetic X-ray source spectrum and the measurement nonlinearities caused by energy-dependent attenuation. We assume that the object consists of a given number of nonoverlapping materials, such as soft tissue and bone. The attenuation coefficient of each voxel is the product of its unknown density and a known energy-dependent mass attenuation coefficient. We formulate a penalized-likelihood function for this polyenergetic model and develop an ordered-subsets iterative algorithm for estimating the unknown densities in each voxel. The algorithm monotonically decreases the cost function at each iteration when one subset Is used. Applying this method to simulated X-ray CT measurements of objects containing both bone and soft tissue yields images with significantly reduced beam hardening artifacts.
引用
收藏
页码:89 / 99
页数:11
相关论文
共 44 条
[1]   ENERGY-SELECTIVE RECONSTRUCTIONS IN X-RAY COMPUTERIZED TOMOGRAPHY [J].
ALVAREZ, RE ;
MACOVSKI, A .
PHYSICS IN MEDICINE AND BIOLOGY, 1976, 21 (05) :733-744
[2]  
Beutel Jacob, 2000, HDB MED IMAGING, V1, DOI DOI 10.1117/3.832716.CH15
[3]   A unified approach to statistical tomography using coordinate descent optimization [J].
Bouman, CA ;
Sauer, K .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 1996, 5 (03) :480-492
[4]   Bayesian reconstruction and use of anatomical a Priori information for emission tomography [J].
Bowsher, JE ;
Johnson, VE ;
Turkington, TG ;
Jaszczak, RJ ;
Floyd, CE ;
Coleman, RE .
IEEE TRANSACTIONS ON MEDICAL IMAGING, 1996, 15 (05) :673-686
[5]   BEAM HARDENING IN X-RAY RECONSTRUCTIVE TOMOGRAPHY [J].
BROOKS, RA ;
DICHIRO, G .
PHYSICS IN MEDICINE AND BIOLOGY, 1976, 21 (03) :390-398
[6]   DEVELOPMENTS WITH MAXIMUM-LIKELIHOOD X-RAY COMPUTED-TOMOGRAPHY [J].
BROWNE, JA ;
HOLMES, TJ .
IEEE TRANSACTIONS ON MEDICAL IMAGING, 1992, 11 (01) :40-52
[7]   An iterative maximum-likelihood polychromatic algorithm for CT [J].
De Man, B ;
Nuyts, J ;
Dupont, P ;
Marchal, G ;
Suetens, P .
IEEE TRANSACTIONS ON MEDICAL IMAGING, 2001, 20 (10) :999-1008
[8]   Reduction of metal streak artifacts in x-ray computed tomography using a transmission maximum a posteriori algorithm [J].
De Man, B ;
Nuyts, J ;
Dupont, P ;
Marchal, G ;
Suetens, P .
IEEE TRANSACTIONS ON NUCLEAR SCIENCE, 2000, 47 (03) :977-981
[9]   Globally convergent edge-preserving regularized reconstruction: An application to limited-angle tomography [J].
Delaney, AH ;
Bresler, Y .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 1998, 7 (02) :204-221
[10]   MAXIMUM LIKELIHOOD FROM INCOMPLETE DATA VIA EM ALGORITHM [J].
DEMPSTER, AP ;
LAIRD, NM ;
RUBIN, DB .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-METHODOLOGICAL, 1977, 39 (01) :1-38