Evaluation of 2D ROI image reconstruction using ML-EM method from truncated projections

Lin Fu, Jinxiu Liao, Jinyi Qi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Abstract

Recently new analytical sufficient conditions and inversion formulas have been found for exact reconstruction of a region of interest (ROI) from truncated projections. However, it remains unknown whether these results can be applied to iterative reconstruction methods which are based discrete-discrete imaging models. In this paper, we explore the behavior of iterative reconstruction methods for truncated data. We evaluate the maximum-likelihood (ML) expectation-maximization (EM) method under three data truncation cases, namely, the classical interior and exterior tomography problems, and a new type of peripheral ROIs which satisfy the data sufficiency condition for the two-step Hilbert transform method [1]. The simulation results show that the peripheral ROIs can be reconstructed by ML-EM method regardless of truncation, but the interior and exterior problem suffer from different degrees of artifacts. These results are consistent with existing analytical data sufficiency conditions. We also numerically calculate the singular value decomposition (SVD) of the truncated system matrix, which shows that when the analytical sufficient condition for an ROI is satisfied, the singular vectors associated with very small singular values have little intersection with the ROI.

Original languageEnglish (US)
Title of host publicationIEEE Nuclear Science Symposium Conference Record
Pages2236-2241
Number of pages6
Volume4
DOIs
StatePublished - 2007
Event2006 IEEE Nuclear Science Symposium, Medical Imaging Conference and 15th International Workshop on Room-Temperature Semiconductor X- and Gamma-Ray Detectors, Special Focus Workshops, NSS/MIC/RTSD - San Diego, CA, United States
Duration: Oct 29 2006Nov 4 2006

Other

Other2006 IEEE Nuclear Science Symposium, Medical Imaging Conference and 15th International Workshop on Room-Temperature Semiconductor X- and Gamma-Ray Detectors, Special Focus Workshops, NSS/MIC/RTSD
CountryUnited States
CitySan Diego, CA
Period10/29/0611/4/06

ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition
  • Industrial and Manufacturing Engineering

Fingerprint Dive into the research topics of 'Evaluation of 2D ROI image reconstruction using ML-EM method from truncated projections'. Together they form a unique fingerprint.

  • Cite this

    Fu, L., Liao, J., & Qi, J. (2007). Evaluation of 2D ROI image reconstruction using ML-EM method from truncated projections. In IEEE Nuclear Science Symposium Conference Record (Vol. 4, pp. 2236-2241). [4179473] https://doi.org/10.1109/NSSMIC.2006.354359