Journal article
A framelet-based iterative maximum-likelihood reconstruction algorithm for spectral CT
Inverse problems, Vol.32(11), p.115021
11/2016
DOI: 10.1088/0266-5611/32/11/115021
PMCID: PMC5645045
PMID: 29051681
Abstract
Standard computed tomography (CT) cannot reproduce spectral information of an object. Hardware solutions include dual-energy CT which scans the object twice in different x-ray energy levels, and energy-discriminative detectors which can separate lower and higher energy levels from a single x-ray scan. In this paper, we propose a software solution and give an iterative algorithm that reconstructs an image with spectral information from just one scan with a standard energy-integrating detector. The spectral information obtained can be used to produce color CT images, spectral curves of the attenuation coefficient μ ( r , E )at points inside the object, and photoelectric images, which are all valuable imaging tools in cancerous diagnosis. Our software solution requires no change on hardware of a CT machine. With the Shepp–Logan phantom, we have found that although the photoelectric and Compton components were not perfectly reconstructed, their composite effect was very accurately reconstructed as compared to the ground truth and the dual-energy CT counterpart. This means that our proposed method has an intrinsic benefit in beam hardening correction and metal artifact reduction. The algorithm is based on a nonlinear polychromatic acquisition model for x-ray CT. The key technique is a sparse representation of iterations in a framelet system. Convergence of the algorithm is studied. This is believed to be the first application of framelet imaging tools to a nonlinear inverse problem.
Details
- Title: Subtitle
- A framelet-based iterative maximum-likelihood reconstruction algorithm for spectral CT
- Creators
- Yingmei Wang - Shandong UniversityGe Wang - Rensselaer Polytechnic InstituteShuwei MaoWenxiang Cong - Rensselaer Polytechnic InstituteZhilong Ji - Beijing University of TechnologyJian-Feng Cai - Hong Kong University of Science and TechnologyYangbo Ye - Department of Mathematics, The University of Iowa, Iowa City, IA 52242, USA
- Resource Type
- Journal article
- Publication Details
- Inverse problems, Vol.32(11), p.115021
- DOI
- 10.1088/0266-5611/32/11/115021
- PMID
- 29051681
- PMCID
- PMC5645045
- NLM abbreviation
- Inverse Probl
- ISSN
- 0266-5611
- eISSN
- 1361-6420
- Grant note
- name: State Scholarship Fund of China, award: 201406220189; name: NIH, award: R01 EB016977, U01 EB017140
- Language
- English
- Date published
- 11/2016
- Academic Unit
- Mathematics
- Record Identifier
- 9983985963602771
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