Title :
Noise propagation in iterative reconstruction algorithms with line searches
Author_Institution :
Dept. of Biomed. Eng., Univ. of California, Davis, CA, USA
Abstract :
In this paper, we analyze the propagation of noise in iterative image reconstruction algorithms. We derive theoretical expressions for the general form of preconditioned gradient algorithms with line searches. The results are applicable to a wide range of iterative reconstruction problems, such as emission tomography, transmission tomography, and image restoration. A unique contribution of this paper compared to the previous work is that the line search is explicitly modeled and we do not use the approximation that the gradient of the objective function is zero. As a result, the accuracy of the theoretical prediction is significantly improved.
Keywords :
emission tomography; gradient methods; image reconstruction; image restoration; iterative methods; medical image processing; noise; emission tomography; image restoration; iterative image reconstruction algorithms; line searches; noise propagation; objective function; preconditioned gradient algorithms; transmission tomography; Algorithm design and analysis; Biomedical engineering; Biomedical imaging; Convergence; Image analysis; Image reconstruction; Iterative algorithms; Reconstruction algorithms; Spatial resolution; Tomography; Emission tomography; iterative image reconstruction; noise analysis;
Journal_Title :
Nuclear Science, IEEE Transactions on
DOI :
10.1109/TNS.2005.843610
