一种圆面非均匀分布随机点生成办法的改进和应用

On Improvement and Application of Generating Non-uniformly Distributed Random Point on A Round Face

在圆面、椭圆面、椭球体内等产生均匀分布的随机点是科学研究中经常使用到的一个内容.通过对一个常用的圆面随机投点程序的改进,核心是添加了随机半径系数的p次方,使之所产生的点接近均匀分布.对这种改进思路,给出了计算机计算方面与数学方面的证明,并在椭球方面进行了具体应用.

It if often used in scientific research to generate unifona31y distributed random points on a round face, an oval face, or a spheroid. This paper is to put forward an improvement on the basis of randomly casting points on an often - used round face, centering on adding radius coefficient with the aim of generating approximate uniform distribution. The proof of this improvement relating to mathemalic and computer was given, and it was also specifically tested on a spheroid.