数字乳房图莫合成获取几何在采样里埃空间的分析
Chloe J Choi1, Trevor L Vent1, Raymond J Acciavatti1
1University of Pennsylvania, Department of Radiology, 3400 Spruce Street, Philadelphia, PA 19104.
概括
使用有限角度投影的图解合成成像,可以通过在里埃域中测量"采样全面性"来更好地理解. 圆形几何学提供了最全面的采样,用于改进图解合成成像.
科学领域:
- 医疗成像医学成像
- 数字信号处理 数字信号处理
- 里埃分析 里埃分析
背景情况:
- 卷合成成像在有限的角度范围内获得投影,导致对象的里埃域的抽样不完整.
- 里埃切片定理 (FST) 提供了一个框架,用于分析频率域中的图莫合成采样.
研究的目的:
- 引入和定义"采样全面性"作为评估图莫合成获取几何学的指标.
- 提出两个定量测量:零空间的体积和最近的采样平面,以评估采样全面性.
- 为了比较四种不同的图莫合成采集几何体的采样全面性.
主要方法:
- 提出了"采样全面性"一词,并开发了两个测量方法:零空间的体积和最近的采样平面.
- 估计了零空间的体积作为 voxels 的百分比,在采样的里埃空间中被零切片所延伸.
- 记录了最接近的采样平面及其在频率空间中的每个voxel的距离,用于四种几何形状:常规 (线性),T形,蝶结和圆形.
主要成果:
- 循环几何体在基于两种拟议测量的四个评估的采集几何体中显示出最高的采样全面性.
- 零空间的体积和距离到最近的采样平面的距离在不同的几何形状上有很大差异.
- 这项研究提供了一种定量方法,以评估图莫合成中福里埃域采样的质量.
结论:
- 循环合成几何学提供了与线性,T形和蝶结几何学相比,最全面的福里埃域采样.
- 提出的指标 (零空间的体积和最近的采样平面) 提供了有价值的工具来表征和比较tomosynthesis获取几何.
- 系统几何学选择对Tomosynthesis应整合采样全面性与诸如临床任务,物体厚度,系统规格和重建算法等因素.
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