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发现并定位黄球
引用本文:张立,孔令坤,陈敏. 发现并定位黄球[J]. 数学的实践与认识, 2005, 35(7): 16-26
作者姓名:张立  孔令坤  陈敏
作者单位:1. 东南大学无线电工程系,江苏,南京,210096
2. 东南大学机械工程系,江苏,南京,210096
摘    要:本文讨论了如何设置红球和蓝球的数量和位置,发现圆柱区域内的黄球并进行定位的问题.我们考虑了一对红球蓝球发现黄球并定位的问题,在此基础上进行扩展,基本解决了黄球的发现并定位的问题.在静止黄球发现问题中,采用了正三角形扩展和正六边形扩展两种方法.在静止黄球的定位问题中,我们结合正三角形和正六边形运用了旋转法和添点法进行扩展.在运动黄球的定位问题中,讨论了体积概率模型和时间概率模型,给出了两种模型的概率求解公式.在系统协同定位模型中,我们给出了发现定位分步模型和周期系统跟踪模型,其中后者在仿真中实现了大于80%的定位性能,该系统可以简单扩展为多目标快速定位问题.此外,文章讨论了精确测量和颜色切换模型,快速定位问题,多目标定位等问题.

关 键 词:发现定位  体积概率模型  时间概率模型  系统协同定位  发现定位分步模型  周期系统跟踪模型

Find and Locate Yellow Balls
ZHANG Li,KONG Ling-kun,CHEN Min. Find and Locate Yellow Balls[J]. Mathematics in Practice and Theory, 2005, 35(7): 16-26
Authors:ZHANG Li  KONG Ling-kun  CHEN Min
Affiliation:ZHANG Li1,KONG Ling-kun1,CHEN Min2
Abstract:For the purpose of finding and locating the position of the yellow balls in the cylinder area, the proper number of the blue balls and red balls and how to arrange them are proposed. Under the basic work of how to find and locate the yellow ball with a couple of red ball and blue ball, we solve the problem. In the problem of finding static yellow balls, we apply Equilateral Triangle model and Equilateral Hexagon model. In the problem of locating static yellow balls, we use rotating method and adding method. While considering locating kinetic yellow balls, we propose the Volume Possibility model and Time Possibility model, and present the possibility formulas. In the cooperating location system, we develop the Substep Location Model and the Cycle track Model, the latter achieves upper 80% successfully locating possibility in our simulations. Cycle track Model can be expanded to solve the quick location of multi-goals. Meanwhile, Precise Measurement and Color Exchange Model as well as the problem of quick location and multi-goal location are discussed in our paper.
Keywords:finding and locating volume possibility model  time possibility model  cooperating location system  substep location model  cycle track model
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