Title :
Simultaneous Block Iterative Reconstruction with Pre- and Post- Backprojection Filters
Author :
Jiiong Wang ; Zheng, Yu
Author_Institution :
Dept. of Electr. & Comput. Sci., Virginia Univ., Charlottesville, VA, USA
Abstract :
We introduce general linear pre- and post- backprojection filters into the widely used simultaneous block iterative reconstruction algorithm, and show that the generalized algorithm converges, at linear speed, to a weighted least squares weighted minimum norm reconstruction, where the weighting matrices are determined by the filters. Our theoretical results expand several existing algorithms and open the possibility of selecting new filters. Examples of the application of our new theory are given.
Keywords :
computerised tomography; diagnostic radiography; filtering theory; image reconstruction; iterative methods; least squares approximations; matrix algebra; medical image processing; block iterative reconstruction algorithm; computed tomography; least square method; linear post-backprojection filters; linear pre-backprojection filters; minimum norm reconstruction; weighting matrices; Biomedical imaging; Computed tomography; Image reconstruction; Iterative algorithms; Iterative methods; Least squares methods; Linear systems; Nonlinear filters; Partitioning algorithms; Reconstruction algorithms; Image reconstruction; biomedical imaging; iterative methods;
Conference_Titel :
Image Processing, 2006 IEEE International Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
1-4244-0480-0
DOI :
10.1109/ICIP.2006.312516
