Volumetric analysis of pulmonary nodules: reducing the discrepancy between the diameter-based volume calculation and voxel-counting method

肺结节体积分析:减少基于直径的体积计算与体素计数法之间的差异

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Abstract

BACKGROUND: When assessing the volume of pulmonary nodules on computed tomography (CT) images, there is an inevitable discrepancy between values based on the diameter-based volume calculation and the voxel-counting method, which is derived from the Euclidean distance measurement method on pixel/voxel-based digital image. We aimed to evaluate the ability of a modified diameter measurement method to reduce the discrepancy, and we determined a conversion equation to equate volumes derived from different methods. METHODS: Two different anthropomorphic phantoms with subsolid and solid nodules were repeatedly scanned under various settings. Nodules in CT images were detected and segmented using a fully automated algorithm and the volume was calculated using three methods: the voxel-counting method (V(vc) ), diameter-based volume calculation (V(d) ), and a modified diameter-based volume calculation (V(d+) (1)), in which one pixel spacing was added to the diameters in the three axes (x-, y-, and z-axis). For each nodule, V(d) and V(d) (+1) were compared to V(vc) by computing the absolute percentage error (APE) as follows: APE =100 × (V - V(vc) )/V(vc) . Comparisons between APE(d) and APE(d+1) according to CT parameter setting were performed using the Wilcoxon signed-rank test. The Jonckheere-Terpstra test was used to evaluate trends across the four different nodule sizes. RESULTS: The deep learning-based computer-aided diagnosis (DL-CAD) successfully detected and segmented all nodules in a fully automatic manner. The APE was significantly less with V(d+1) than with V(d) (Wilcoxon signed-rank test, P<0.05) regardless of CT parameters and nodule size. The APE median increased as the size of the nodule decreased. This trend was statistically significant (Jonckheere-Terpstra test, P<0.001) regardless of volume measurement method (diameter-based and modified diameter-based volume calculations). CONCLUSIONS: Our modified diameter-based volume calculation significantly reduces the discrepancy between the diameter-based volume calculation and voxel-counting method.

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