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arXiv 1712.06930cs.CV
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有限角度层析成像的尺度空间各向异性全变分

Scale-Space Anisotropic Total Variation for Limited Angle Tomography

Friedrich-Alexander-University Erlangen-Nuremberg(埃尔朗根-纽伦堡弗里德里希-亚历山大大学);Shanghai Jiao Tong University(上海交通大学);Siemens Healthcare GmbH(西门子医疗有限公司);University of Utah(犹他大学)

Yixing Huang, Oliver Taubmann, Xiaolin Huang, Viktor Haase, Guenter Lauritsch, Andreas Maier

摘要:

本文讨论了有限角度层析成像中条纹的抑制问题。虽然迭代重加权全变分(wTV)算法减少小条纹很好,它是相当无能的消除大的,因为全变分(TV)正则化是规模依赖的,可能会把这些条纹均匀的地区。因此,本文的主要目的是减少条纹文物在各种尺度。我们提出了尺度空间各向异性全变分(ssaTV)算法在两个不同的实现。第一种实现方式(ssaTV-1)利用各向异性的类梯度算子,该算子在每个尺度s下沿着条纹的法线方向使用2s个相邻像素。第二种实现(ssaTV-2)利用各向异性下采样和上采样操作,类似地沿着条纹的法线方向定向,以在各种尺度下应用TV正则化。数值和临床数据的实验表明,这两个ssaTV算法减少条纹伪影更有效,更有效地比wTV,特别是当使用多个尺度。

英文摘要:

This paper addresses streak reduction in limited angle tomography. Although the iterative reweighted total variation (wTV) algorithm reduces small streaks well, it is rather inept at eliminating large ones since total variation (TV) regularization is scale-dependent and may regard these streaks as homogeneous areas. Hence, the main purpose of this paper is to reduce streak artifacts at various scales. We propose the scale-space anisotropic total variation (ssaTV) algorithm in two different implementations. The first implementation (ssaTV-1) utilizes an anisotropic gradient-like operator which uses 2s neighboring pixels along the streaks' normal direction at each scale s. The second implementation (ssaTV-2) makes use of anisotropic down-sampling and up-sampling operations, similarly oriented along the streaks' normal direction, to apply TV regularization at various scales. Experiments on numerical and clinical data demonstrate that both ssaTV algorithms reduce streak artifacts more effectively and efficiently than wTV, particularly when using multiple scales.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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