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为合理地、定量化地选择三维重建的分辨率,以规则几何体(球体、八面体)的数字化模型为研究对象,从体积与表面积测量精度角度进行了分析。构建了不同尺寸的球体和八面体的数字化模型,分别利用体素个数计数和移动立方体(marching cube)算法进行体积与表面积的测量。分析表明,对接近球体的物相(如晶粒)而言,为保证其体积测量误差不大于5%,三维重建分辨率应不大于物相直径的1/10。通过测试不同大小规则几何体和不同截面层间距对其体积测量结果精度的影响,得到了系列截面层间距和几何体尺寸对体积测量结果精度的影响规律,可对利用系列截面法进行材料显微组织三维重建时截面层间距的设定提供依据。
In order to rationally and quantitatively select the resolution of 3D reconstruction, the digital model of regular geometry (sphere, octahedron) is taken as the research object, and the measurement accuracy of volume and surface area is analyzed. A digital model of sphere and octahedron of different sizes was constructed, and the volume and surface area were measured respectively by the number of voxels and the marching cube algorithm. The analysis shows that for the phase close to the sphere (such as grains), in order to ensure that the volume measurement error is no more than 5%, the resolution of three-dimensional reconstruction should not exceed 1/10 of the phase diameter. By measuring the influence of different size regular geometries and the spacing of different cross-section layers on the accuracy of volume measurement results, the influence rules of series cross-sectional layer spacing and geometry size on the accuracy of volume measurement results are obtained. The effects of series cross- Reconstruction of the cross-sectional layer spacing provided basis.