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A simulated annealing approach for curve fitting in automated manufacturing systems

机译:用于自动化制造系统中曲线拟合的模拟退火方法

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摘要

Purpose - This research aims to develop an effective and efficient algorithm for solving the curve fitting problem arising in automated manufacturing systems. Design/methodology/approach - This paper takes curve fitting as an optimization problem of a set of data points. Expressing the data as a function will be very effective to the data analysis and application. This paper will develop the stochastic optimization method to apply to curve fitting. The proposed method is a combination optimization method based on pattern search (PS) and simulated annealing algorithm (SA). Findings - The proposed method is used to solve a nonlinear optimization problem and then to implement it to solve three circular arc-fitting problems of curve fitting. Based on the analysis performed in the experimental study, the proposed algorithm has been found to be suitable for curve fitting. Practical implications - Curve fitting is one of the basic form errors encountered in circular features. The proposed algorithm is tested and implemented by using nonlinear problem and circular data to determine the circular parameters. Originality/value - The developed machine vision-based approach can be an online tool for measurement of circular components in automated manufacturing systems.
机译:目的-这项研究旨在开发一种有效且高效的算法,以解决自动化制造系统中出现的曲线拟合问题。设计/方法/方法-本文将曲线拟合作为一组数据点的优化问题。将数据表示为函数将对数据分析和应用非常有效。本文将开发随机优化方法以应用于曲线拟合。该方法是基于模式搜索(PS)和模拟退火算法(SA)的组合优化方法。结果-所提出的方法用于解决非线性优化问题,然后将其实施以解决曲线拟合的三个圆弧拟合问题。根据实验研究的分析,发现该算法适用于曲线拟合。实际意义-曲线拟合是圆形特征中遇到的基本形状误差之一。利用非线性问题和圆形数据确定圆形参数,对算法进行了测试和实现。独创性/价值-所开发的基于机器视觉的方法可以成为在线工具,用于测量自动化制造系统中的圆形部件。

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