A statistical approach to estimate the 3D size distribution of spheres from 2D size distributions

Maiying Kong; Rabi N. Bhattacharya; Christina James; Abhijit Basu

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A statistical approach to estimate the 3D size distribution of spheres from 2D size distributions

机译：一种从2D尺寸分布估算球体3D尺寸分布的统计方法

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Size distribution of rigidly embedded spheres in a groundmass is usually determined from measurements of the radii of the two-dimensional (2D) circular cross sections of the spheres in random flat planes of a sample, such as in thin sections or polished slabs. Several methods have been devised to find a simple factor to convert the mean of such 2D size distributions to the actual 3D mean size of the spheres without a consensus.

机译：通常根据对球的二维（2D）圆形横截面半径的测量来确定刚体中刚性嵌入球的尺寸分布。 sup>在样品的随机平面中，例如在薄截面或抛光的平板中。已经设计了几种方法来找到一个简单的因素，以将此类2D尺寸分布的平均值转换为球体的实际3D平均尺寸，而无需达成共识。 < / sup>

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《GSA Bulletin》 |2005年第2期|244-249|共6页
作者
Maiying Kong; Rabi N. Bhattacharya; Christina James; Abhijit Basu;
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Department of Mathematics, Indiana University, Bloomington, Indiana 47405, USA;

Department of Mathematics, Indiana University, Bloomington, Indiana 47405, USA;

Indiana Geological Survey, Indiana University, Bloomington, Indiana 47405, USA;

Department of Geological Sciences, Indiana University, Bloomington, Indiana 47405, USA;

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1. A statistical approach to estimate the 3D size distribution of spheres from 2D size distributions [J] . Maiying Kong, Rabi N.Bhattacharya, Christina James, Geological Society of America Bulletin . 2005,第1a2期

机译：一种根据2D尺寸分布估算球体3D尺寸分布的统计方法
2. Comment on Berger A., Herwegh M., Schwarz J.-O., Putlitz B., (2011). Quantitative analysis of crystal/grain sizes and their distributions in 2D and 3D. J. Struct. Geol. 33(12):1751-1763 [J] . Michael D. Higgins Journal of structural geology . 2012,第Jula期

机译：关于Berger A.，Herwegh M.，Schwarz J.-O.，Putlitz B.（2011）的评论。晶体/晶粒尺寸及其在2D和3D中的分布的定量分析。 J.结构。地质33（12）：1751-1763
3. Reply to Higgins, M.D., 2012. Comment on Berger A., Herwegh M, Schwarz J.-O., Putlitz B., 2011. Quantitative analysis of crystal/grain sizes and their distributions in 2D and 3D [J] . A. Berger, M. Herwegh, J.-O. Schwarz, Journal of structural geology . 2012,第Jula期

机译：回复于2012年，医学博士希金斯。评论Berger A.，Herwegh M，Schwarz J.-O.，Putlitz B.，2011年。晶体/晶粒尺寸及其在2D和3D中的分布的定量分析
4. ESTIMATING THE PROBABILISTIC SIZE AND SHAPE DISTRIBUTIONS OF 3D ANOMALIES FROM SECTIONING MEASUREMENTS USING THE STEREOLOGICAL UNFOLDING APPROACH [C] . Wuwei Liang, Michael P. Enright ASME turbo expo . 2012

机译：使用立体展开法从截面测量值估计3D异常的概率大小和形状分布
5. Statistical analysis of dolomite outcrop fracture distributions to evaluate well core sized samples (Sawtooth Mountains, Montana) [D] . Todd-Brown, William Edward, Jr. 1983

机译：对白云岩露头裂缝分布进行统计分析，以评估岩心大小的样品（锯齿山，蒙大拿州）
6. Estimating Variable Effective Population Sizes from Multiple Genomes: A Sequentially Markov Conditional Sampling Distribution Approach [O] . Sara Sheehan, Kelley Harris, Yun S. Song 2013

机译：从多个基因组估计可变有效种群大小：顺序马尔可夫条件抽样分配方法
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A statistical approach to estimate the 3D size distribution of spheres from 2D size distributions

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