ESTIMATION OF SURFACE-AREA FROM VERTICAL SECTIONS
ESTIMATION OF SURFACE-AREA FROM VERTICAL SECTIONS
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DOI：
10.1111/j.1365-2818.1986.tb04282.x
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发表时间：
1986-06-01
影响因子：
2
通讯作者：
CRUZORIVE, LM
中科院分区：
文献类型：
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作者：
BADDELEY, AJ;GUNDERSEN, HJG;CRUZORIVE, LM
“垂直"截面是指纵向于固定（但任意）轴向的平面截面。例子是平行于中心轴的圆柱体的截面;和垂直于平板平面的平板的截面。任何物体的垂直截面都可以通过将物体放在桌子上并垂直于桌子的植物进行截面来生成。标准体视学方法假设各向同性随机截面，不适用于这种有偏抽样。然而，通过使用专门设计的测试系统，可以获得表面积的无偏估计。概述了垂直剖面体视学的一般原理。不需要对结构的形状或取向分布作任何假设。垂直截面体视学与各向同性随机截面的标准体视学方法在相同条件下有效。从垂直剖面可以估算的结构量范围包括Vv、Nv、Sv和体积加权平均颗粒体积.hivin.vv，但不包括Lv。可以完全自由选择垂直轴方向，这使得采样过程简单且“自然”。实用的采样程序实现的想法进行了描述，并举例说明。
''Vertical'' sections are plane sections longitudinal to a fixed (but arbitrary) axial direction. Examples are sections of a cylinder parallel to the central axis; and sections of a flat slab normal to the plane of the slab. Vertical sections of any object can be generated by placing the object on a table and taking sections perpendicular to the plant of the table. The standard methods of stereology assume isotropic random sections, and are not applicable to this kind of biased sampling. However, by using specially designed test systems, one can obtain an unbiased estimate of surface area. General principles of stereology for vertical sections are outlined. No assumptions are necessary about the shape or orientation distribution of the structure. Vertical section stereology is valid on the same terms as standard stereological methods for isotropic random sections. The range of structural quantities that can be estimated from vertical sections includes Vv, Nv, Sv and the volume-weighted mean particle volume .hivin.vv, but not Lv. There is complete freedom to choose the vertical axis direction, which makes the sampling procedure simple and ''natural''. Practical sampling procedures for implementation of the ideas are described, and illustrated by examples.