APPROXIMATE DISTRIBUTION OF HITTING PROBABILITIES FORA REGULAR SURFACE WITH COMPACT SUPPORT IN 2D

机译：具有二维支持的矩形曲面的命中概率的近似分布

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Generalizing the well-known relations on characteristic functions on a plane to the case of a one-dimensional regular surface (curve) with compact support, we establish implicit equations for these functions. After solving the combinatorial problems, we introduce an approximation allowing to reduce these equations to a set of linear equations for a finite number of unknown functions. Imposing natural conditions, we obtain a closed system of linear equations which can be solved for a given surface. Its solutions can be used to approximate the distribution of hitting probabilities for a regular surface with compact support. In order to verify the accuracy of the approximation, numerical analysis is being made for a chosen surface.

机译：将具有平面特征函数的众所周知的关系推广到具有紧支撑的一维规则曲面（曲线）的情况，我们为这些函数建立了隐式方程。解决组合问题后，我们引入了一种近似方法，可以将这些方程式简化为有限数量的未知函数的一组线性方程式。在自然条件下，我们获得了一个线性方程组的封闭系统，该系统可以为给定表面求解。它的解决方案可用于估算具有紧凑支撑的常规表面的击中概率分布。为了验证近似的准确性，正在对选定的表面进行数值分析。

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《NATO Advanced Study Institute on Asymptotic Combinatorics with Application to Mathematical Physics Jul 9-22, 2001 St. Petersburg, Russia》|2001年|p.221-242|共22页
会议地点 St. Petersburg(RU)
作者
D. S. GREBENKOV;
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Laboratoire de Physique de la Matiere Condensee Ecole Polytechnique 91128 Palaiseau Cedex France;

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原文格式 PDF
正文语种 eng
中图分类 O2;
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机译：用泊松遮蔽过程逼近平面中可见光部分的探测和击中目标概率及概率分布的概率分布

APPROXIMATE DISTRIBUTION OF HITTING PROBABILITIES FORA REGULAR SURFACE WITH COMPACT SUPPORT IN 2D

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