Multiclass Dictionary-Based Statistical Iterative Reconstruction for Low-Dose CT

Hiryu KAMOSHITA  Daichi KITAHARA  Ken'ichi FUJIMOTO  Laurent CONDAT  Akira HIRABAYASHI  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E104-A   No.4   pp.702-713
Publication Date: 2021/04/01
Publicized: 2020/10/06
Online ISSN: 1745-1337
DOI: 10.1587/transfun.2020EAP1020
Type of Manuscript: PAPER
Category: Numerical Analysis and Optimization
Keyword: 
low-dose CT,  image reconstruction,  sparse representation,  fast dictionary learning,  clustering,  

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Summary: 
This paper proposes a high-quality computed tomography (CT) image reconstruction method from low-dose X-ray projection data. A state-of-the-art method, proposed by Xu et al., exploits dictionary learning for image patches. This method generates an overcomplete dictionary from patches of standard-dose CT images and reconstructs low-dose CT images by minimizing the sum of a data fidelity and a regularization term based on sparse representations with the dictionary. However, this method does not take characteristics of each patch, such as textures or edges, into account. In this paper, we propose to classify all patches into several classes and utilize an individual dictionary with an individual regularization parameter for each class. Furthermore, for fast computation, we introduce the orthogonality to column vectors of each dictionary. Since similar patches are collected in the same cluster, accuracy degradation by the orthogonality hardly occurs. Our simulations show that the proposed method outperforms the state-of-the-art in terms of both accuracy and speed.