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Tomographic Reconstruction from Noisy Data

机译:从噪声数据重建层析成像

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摘要

A generalized maximum entropy based approach to noisy inverse problems such as the Abel problem, tomography, or deconvolution is discussed and reviewed. Unlike the more traditional regularization approach, in the method discussed here, each unknown parameter (signal and noise) is redefined as a proper probability distribution within a certain pre-specified support. Then, the joint entropies of both, the noise and signal probabilities, are maximized subject to the observed data. We use this method for tomographic reconstruction of the soft x-ray emissivity of hot fusion plasma.
机译:讨论并审查了基于广义最大熵的方法来解决诸如Abel问题,层析成像或反卷积之类的噪声反问题。与更传统的正则化方法不同,在此处讨论的方法中,每个未知参数(信号和噪声)都被重新定义为某个预先指定支持内的适当概率分布。然后,根据观测数据最大化噪声和信号概率的联合熵。我们将这种方法用于热聚变等离子体的软X射线发射率的层析成像重建。

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