Continuous-time image reconstruction for binary tomography
Continuous-time image reconstruction for binary tomography
复制标题
二元断层扫描的连续时间图像重建
DOI：
10.1016/j.cnsns.2013.01.001
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
T. Yoshinaga
中科院分区：
文献类型：
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作者：
Yusaku Yamaguchi;K. Fujimoto;Omar M. Abou Al;T. Yoshinaga
二值层析成像是从有限数量的投影重建二值图像的过程。我们提出了一种新的方法来解决二元层析逆问题，使用连续时间图像重建（CIR）系统描述的非线性微分方程的基础上最小化的双Kullback-Leibler分歧。我们从理论上证明了发散测度随时间单调递减。此外，我们证明了数值的非线性CIR系统的重建图像的质量优于那些从迭代重建方法。
Binary tomography is the process of reconstructing a binary image from a finite number of projections. We present a novel method for solving binary tomographic inverse problems using a continuous-time image reconstruction (CIR) system described by nonlinear differential equations based on the minimization of a double Kullback-Leibler divergence. We prove theoretically that the divergence measure monotonically decreases in time. Moreover, we demonstrate numerically that the quality of the reconstructed images of the nonlinear CIR system is better than those from an iterative reconstruction method.