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Tomographic reconstruction from partial angular views using Gibbsian models

机译:使用Gibbsian模型从部分角度的视角进行层析成像重建

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Abstract: In some applications of tomographic reconstruction of 2D or 3D fields, the presence of physical constraints allows measurement of projections only within limited angular views; in these cases, a satisfactory resolution may be obtained only with the addition of a priori information about the structure to be estimated. Besides deterministic constraints, some form of probabilistic knowledge is often available, which could help to eliminate a large class of unlikely solutions in the inversion process. However, despite their elegant simplicity, some proposed Gaussian models have shown to be inadequate to satisfactory model objects in actual environments. For these reasons, the paper proposes a flexible probabilistic model based on Gibbs Random Field (GRF) which can be used for tomographic reconstruction. The theoretical framework of the method is described and the performance of the algorithm are illustrated through some simulated experiments.!6
机译:摘要:在2D或3D场层析成像重建的某些应用中,物理约束的存在仅允许在有限的角度视图内测量投影。在这些情况下,仅通过添加有关待评估结构的先验信息,才能获得令人满意的分辨率。除了确定性约束之外,通常还可以使用某种形式的概率知识,这可以帮助消除反演过程中的大量不太可能的解决方案。但是,尽管它们具有优雅的简洁性,但已提出的一些高斯模型已不足以在实际环境中满足令人满意的模型对象。由于这些原因,本文提出了一种基于吉布斯随机场(GRF)的灵活概率模型,可用于断层扫描重建。描述了该方法的理论框架,并通过一些仿真实验说明了该算法的性能。6

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