On The Strength Of Streak Artifacts In Filtered Back-projection Reconstructions For Limited Angle Weighted X-Ray Transform
On The Strength Of Streak Artifacts In Filtered Back-projection Reconstructions For Limited Angle Weighted X-Ray Transform
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有限角度加权 X 射线变换的滤波反投影重建中条纹伪影的强度
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
Linh V. Nguyen
中科院分区：
文献类型：
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作者：
Linh V. Nguyen
本文研究了加权X射线变换的有限角度问题。我们通过对有限的数据应用滤波反投影公式来考虑两种近似重建。我们证明了每一个所得算子都可以分解为三个符号为$$（varrho，，delta）型的Fourier积分算子之和
e（1，，0）.$$（δ，δ）δ（1，0）.第一个算子是伪微分算子，负责重建可见奇点。另外两个负责生成工件。傅立叶积分算子的理论，然后意味着，特别是，连续性的重建算子和几何的文物。然后，我们扩展了作者在[逆问题31（2015）055003]中开发的技术，以获得对伪影强度的更精确的微局部估计。
In this article, we study the limited angle problem for the weighted X-ray transform. We consider two approximate reconstructions by applying filtered back-projection formulas to the limited data. We prove that each resulted operator can be decomposed into the sum of three Fourier integral operators whose symbols are of types $$(varrho ,,delta )
e (1,,0).$$(ϱ,δ)≠(1,0). The first operator, being a pseudo-differential operator, is responsible for the reconstruction of visible singularities. The other two are responsible for the generation of the artifacts. The theory of Fourier integral operators then implies, in particular, the continuity of the reconstruction operator and geometry of the artifacts. We then extend the technique developed by the author in [Inverse Problems 31 (2015) 055003] to obtain more refined microlocal estimates for the strength of the artifacts.