发现空间目标并定位的模型  

A Model for Detecting and Locating a Space Object

作　　者：李成法[1] 郭昭辉[1] 薛巍立 姚天行[2] 

机构地区：[1]南京大学计算机科学与技术系,南京210093 [2]南京大学数学系,南京210093

出　　处：《数学的实践与认识》2005年第7期34-39,共6页Mathematics in Practice and Theory

摘　　要：针对在一个圆柱体内用最少的红球、蓝球发现黄球的问题,采用多个椭圆覆盖圆柱顶面的方法,设计出利用18个球覆盖的方案,叙述了该方案的设计思路,并严格证明出方案的可行性.针对用最少的红球、蓝球发现并定位黄球的问题,设计出36个球的方案,严格证明出方案的可行性.To solve the optimization program of dececting a yellow ball using minimum red and blue balls in a cylinder, the paper proposes a way of using multiple ellipses covering the top of the cylinder. We devise a method which only needs 18 balls, describe the design process in detail, and strictly prove its feasibility. Further more, to solve the optimization program of locating the yellow ball using minimum red and blue balls, we devise a scheme which needs 36 balls, and prove its correctness too.

关 键 词：目标发现 目标定位 椭圆覆盖 数学建模 

分 类 号：O242.1[理学—计算数学]