Development of a Hausdorff distance based 3D quantification technique to evaluate the CT imaging system impact on depiction of lesion morphology

P. Sahbaee, M. Robins, J. Solomon, E. Samei
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Abstract

The purpose of this study was to develop a 3D quantification technique to assess the impact of imaging system on depiction of lesion morphology. Regional Hausdorff Distance (RHD) was computed from two 3D volumes: virtual mesh models of synthetic nodules or “virtual nodules” and CT images of physical nodules or “physical nodules”. The method can be described in following steps. First, the synthetic nodule was inserted into anthropomorphic Kyoto thorax phantom and scanned in a Siemens scanner (Flash). Then, nodule was segmented from the image. Second, in order to match the orientation of the nodule, the digital models of the “virtual” and “physical” nodules were both geometrically translated to the origin. Then, the “physical” was gradually rotated at incremental 10 degrees. Third, the Hausdorff Distance was calculated from each pair of “virtual” and “physical” nodules. The minimum HD value represented the most matching pair. Finally, the 3D RHD map and the distribution of RHD were computed for the matched pair. The technique was scalarized using the FWHM of the RHD distribution. The analysis was conducted for various shapes (spherical, lobular, elliptical, and speculated) of nodules. The calculated FWHM values of RHD distribution for the 8-mm spherical, lobular, elliptical, and speculated “virtual” and “physical” nodules were 0.23, 0.42, 0.33, and 0.49, respectively.
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基于Hausdorff距离的三维量化技术的发展,以评估CT成像系统对病变形态描述的影响
本研究的目的是开发一种3D量化技术来评估成像系统对病变形态描述的影响。区域Hausdorff距离(RHD)从两个三维体中计算:合成结节的虚拟网格模型或“虚拟结节”和物理结节的CT图像或“物理结节”。该方法可按以下步骤描述。首先,将合成结节插入拟人化的京都胸假体,并在西门子扫描仪(Flash)中进行扫描。然后,从图像中分割结节。其次,为了匹配结核的方向,将“虚拟”和“物理”结核的数字模型都几何地转换到原点。然后,“物理”逐渐以增量10度旋转。第三,计算每对“虚拟”和“物理”结节的豪斯多夫距离。最小的HD值代表最匹配的对。最后,计算匹配对的三维RHD图和RHD分布。利用RHD分布的FWHM对该技术进行了标量化。对各种形状(球形、小叶状、椭圆形和推测)的结节进行了分析。8 mm球形、小叶状、椭圆形和推测的“虚拟”和“物理”结节的RHD分布的计算FWHM值分别为0.23、0.42、0.33和0.49。
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