label: url

en: Iterative Image Reconstruction Algorithm with Parameter Estimation by Neural Network for Computed Tomography

en: Algorithms

ja: Algorithms


en: Image reconstruction algorithm using weighted mean of ordered-subsets EM and MART for computed tomography

en: Mathematics

ja: Mathematics


en: Block-iterative reconstruction from dynamically selected sparse projection views using extended power-divergence measure

en: Entropy

ja: Entropy


en: Noise-Robust Image Reconstruction Based on Minimizing Extended Class of Power-Divergence Measures


en: Hybrid Euler method for discretizing continuous-time tomographic dynamical system

en: Journal of Signal Processing

ja: Journal of Signal Processing


en: Convergence Study of Iterative Image Reconstruction Algorithm with Power Exponent for Computed Tomography

en: Proc. of NCSP'20

ja: Proc. of NCSP'20


ja: Hybrid Euler method for discretizing continuous-time tomographic dynamical system


en: Continuous-time image reconstruction based on Hellinger distance minimization for medical X-ray CT imaging

en: Basic & Clinical Pharmacology & Toxicology (Abstracts)


en: Hybrid of ML-EM and MART algorithms for X-ray CT image reconstruction

ja: Basic & Clinical Pharmacology & Toxicology (Abstracts)


en: Extended ordered-subsets expectation-maximization algorithm with power exponent for noise-robust image reconstruction in computed tomography

en: The maximum-likelihood expectation-maximization (ML-EM) algorithm is the most popular iterative reconstruction method in emission-computed tomography with a noise model based on the Poisson distribution. The ordered-subsets EM (OS-EM) algorithm is known owing to accelerating the convergence of the ML-EM algorithm with the drawback of slow convergence. In this paper, we propose an extended OS-EM algorithm with a power exponent. We theoretically prove the asymptotic stability of an equilibrium corresponding to the solution of the nonlinear hybrid dynamical system whose numerical discretization based on multiplicative calculus coincides with the extended OS-EM algorithm. We provide a numerical experiment to demonstrate the effectiveness of the proposed system and confirm the acceleration of the proposed method and the robustness against noise. The reconstruction of high-quality images made by the method even when the projection data is noisy allows patient dose reduction in clinical practice.

en: Radiation Environment and Medicine

ja: Radiation Environment and Medicine


en: Hybrid algorithm of maximum-likelihood expectation-maximization and multiplicative algebraic reconstruction technique for iterative tomographic image reconstruction

en: Proceedings Volume 11049, International Workshop on Advanced Image Technology (IWAIT) 2019


en: Tomographic image reconstruction based on minimization of symmetrized Kullback-Leibler divergence

en: Mathematical Problems in Engineering

ja: Mathematical Problems in Engineering

number: No.Article ID 8973131

ending_page: pages


en: Multivalued discrete tomography using dynamical system that describes competition

en: Multivalued discrete tomography involves reconstructing images composed of three or more gray levels from projections. We propose a method based on the continuous-time optimization approach with a nonlinear dynamical system that effectively utilizes competition dynamics to solve the problem of multivalued discrete tomography. We perform theoretical analysis to understand how the system obtains the desired multivalued reconstructed image. Numerical experiments illustrate that the proposed method also works well when the number of pixels is comparatively high even if the exact labels are unknown.

ja: 離散値トモグラフィは3つ以上の複数レベルの濃度値を持つ画像を，投影から再構成する問題である．我々はこれら離散値トモグラフィを解く，競争原理を効果的に導入した非線形力学系に基づく連続時間最適化手法を提案する．この系がいかに画像再構成を達成するかに関する理論解析を与えた．また，数値実験では，ラベル数を与えていない高解像度画像であっても適切な結果が得られることを示している．

number: No.Article ID 8160354


en: Noise reduction in computed tomography using a multiplicative continuous-time image reconstruction method

en: Progress in Biomedical Optics and Imaging - Proceedings of SPIE


en: Continuous analog of multiplicative algebraic reconstruction technique for computed tomography

ja: Progress in Biomedical Optics and Imaging - Proceedings of SPIE