多面体颗粒模拟切割及体视学参数的确定

Simulating cut of polyhedron grain and method of getting stereology parameter p(r/R) and q(R)

提出了计算机模拟切割多面体颗粒获得 ｐ（ｒ／Ｒ）和 ｑ（Ｒ）体视学参数方法，并以四面体为例介绍 了这一方法的计算机实现过程和多面体粒子、随机切面及切割过程的数学模型建立方法．对四面体的 模拟切割结果表明。此方法切割数量大、速度快、可得到稳定的ｐ（ｒ／Ｒ）分布曲线和ｑ（Ｒ）参数。

The thesis introduces the method of get ting the stereology parameter q(R) and p(r/R) by means of simulating cut of polyhedron grain, and its application in tetranedron. Then, the paper presents the mefhod to construct the mathematical model of polyhedrograin with random of cutting and its cuting process. The result of simulating cut to tetrahedron grain shows that the method can have much large cutting volume, much fast cutting velocity and can get stable p(r/R) curve and parameter q(R).