编辑蒙特卡罗方法的特殊用途

Veronika Stoffová, R. Horváth
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引用次数: 0

摘要

贡献描述了蒙特卡罗方法的交互式计算机实现,用于特定目的-根据人的足迹诊断足部状况,识别平足。蒙特卡罗方法结合了计算机图形学和数值数学,使我们能够计算不存在直接解析解的未知区域,或者我们不知道它。它被广泛使用,例如,快速找到各种计算的近似结果,如计算定积分,确定单个事件中事件的概率,经验地确定值,在某些情况下的成本估算等。它是一种基于随机变量值和概率论的经验数值方法。我们的目标是实现一个通用的交互式软件,该软件将允许通过蒙特卡罗方法以数字图像的形式确定任何不规则区域的内容。本软件采用Java语言,使用编程框架GRobot实现。图形用户界面是该框架的特点,适合这类应用程序。蒙特卡罗方法构成了大学建模与仿真学科的一个专题单元。这通常也是学生学期、比赛和毕业论文的主题。这里所描述的编辑的开始也可以追溯到特尔纳瓦特尔纳瓦大学教育学院计算机科学教师课程的一名学生的毕业论文。上述项目是在本文作者的指导和大力帮助下开发的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Editor of the Monte Carlo Method for Special Purpose
The contribution describes an interactive computer implementation of the Monte Carlo method for particular purposes - to diagnose the foot condition according to the footprint of a person, to recognise the flat foot. Monte Carlo method, with a combination of computer graphics and numerical mathematics, allows us to calculate an unknown area where a direct analytical solution does not exist, or we do not know it. It is widely used, for example, in quickly finding approximate results of various calculations, such as calculating a definite integral, determining the probabilities of events in individual events, empirically determining the value, cost estimates in certain situations, and so on. It is an empirical-numerical method based on the use of values of random variables and probability theory. Our goal was to implement a general-purpose interactive software that will allow by the Monte Carlo method to determine the content of any irregular area in the form of a digital image. The presented software is implemented in Java using the programming framework GRobot. The graphic user interface is characteristic of this framework and is suitable for this type of applications. The Monte Carlo method forms a thematic unit of the subject of modelling and simulation at universities. It is often also the topic of students' semester, competition, and final theses. The beginnings of the editor described here also goes back to the semester, later diploma thesis of a student of computer science teacher programme at the Faculty of Education of the Trnava University in Trnava. The mentioned projects were developed under the guidance and significant help of the authors of this article.
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