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A Multi-Resolution Approach to Complexity Reduction in Tomographic Reconstruction

机译:断层切断重建复杂性的多分辨率方法

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Most of the algorithms for tomographic reconstruction face the same problem: high computational complexity. In order to tackle this problem, this paper proposes a general multi-resolution approach that enables a flexible choice of reconstruction focus and thus saves computational power in reconstructions. The approach is demonstrated in this paper based on a reconstruction algorithm using a (improper) Markov random field prior with sparsifying NUV terms (nor-mal with unknown variance), where the unknown variances are learned by approximate EM (expectation maximization). The experimental and practical results show that both for simulated and real-world objects the proposed framework yields satisfying results with much lower computational cost.
机译:断层切断重建的大多数算法面临着同样的问题:高计算复杂性。为了解决这个问题,本文提出了一种一般的多分辨率方法,可以灵活地选择重建焦点,从而节省重建中的计算能力。本文基于使用(不正确)马尔可夫随机字段的重建算法在稀疏化Nuv术语(具有未知方差的NOR-MAR​​)之前的重建算法,通过近似EM(期望最大化)来了解该方法。实验和实际结果表明,用于模拟和真实世界对象,所提出的框架产量令人满意,计算成本更低。

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