多重线性层析图的去模糊和三维重建

Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1900-01-01 DOI:10.1364/srs.1983.fa10

S. Kawata, J. Sklansky

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引用次数: 0

摘要

传统的x射线层析成像机得到的层析图像由于非关键平面的运动模糊图像的叠加而降低了图像质量。本文介绍了一种从断层图中消除这些模糊图像的方法。在该方法中，将聚焦于一组平行平面的一组层析图组合在一起，形成无模糊层析图的三维重建。这种方法等价于线性系统的反演。通过对线性运动层析成像的数学分析，我们发现线性运动层析成像仅限于角受限的频率信息。提出了一种基于非负性和有限范围约束的迭代矩阵反演算法，用于从一组层析图中重建目标平面。

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Deblurring and Three-Dimensional Reconstruction from Multiple Linear-Tomograms

The image of the tomogram obtained by a conventional x-ray tomographic machine is degraded by the superposition of motion-blurred images of nonpivotal planes. We introduce a method to eliminate these blurred images from a tomogram. In this method a set of tomograms, each focused on one of a set of parallel planes, are combined to form a three-dimensional reconstruction of blur-free tomograms. This approach is equivalent to the inversion of a linear system. By a mathematical analysis of linear-motion tomography, we found that linear-motion tomography is restricted to angularly-limited frequency information. An iterative matrix inversion algorithm with the constraints of nonnegativity and finite-extent is applied to the reconstruction of the plane of interest from a set of tomograms.

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Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints

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