首页|数字图像相关方法综合误差的理论及仿真分析

数字图像相关方法综合误差的理论及仿真分析

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数字图像相关(DIC)方法是一种广泛使用的实验变形测量技术.进一步提高测量精度是当前 DIC 技术研究的重要方向,建立综合考虑多种误差源的误差理论模型对于研究DIC方法中各种误差的比重和相互耦合关系至关重要.本文提出了一种基于频域分析的DIC方法综合误差理论模型,该模型从系统论的角度出发,将插值和噪声视为两个系统,给出了插值和噪声的传递函数与DIC误差之间的定量关系.为了方便计算,本文给出了该模型中各种参数的简便计算方法.本文提出的误差模型可以预测DIC方法中各种误差源,包括由亚像素插值引起的系统误差、由图像灰度噪声引起的随机误差,以及它们之间的耦合效果.为了验证上述理论模型的正确性,本文进行了数值实验测试,实验结果与理论预测结果吻合良好.理论和数值实验结果表明:各种参数下,散斑半径越小,系统误差越大;噪声水平越高,随机误差越大;并且,噪声水平的提高也会使耦合误差增大.
Theoretical and Simulation Analysis of the Comprehensive Error in Digital Image Correlation Method
Digital image correlation(DIC)is a widely used experimental technique for measuring deformation.En-hancing measurement accuracy is a critical direction in current DIC technology research.Establishing an error theory model that comprehensively considers various error sources is crucial for clarifying the proportion and mutual cou-pling relationship of these errors in DIC methods.This paper proposes a comprehensive error theory model for DIC based on frequency domain analysis.From a system theory perspective,interpolation and noise are treated as two systems.The quantitative relationship of DIC errors is established based on the transfer functions of interpolation and noise systems.For computational convenience,this paper also presents simplified calculation methods for various parameters within the model.The proposed error model can predict the effects of various error sources in DIC meth-ods.Specifically,it can predict the systematic error caused by sub-pixel interpolation,the random error caused by image grayscale noise,and the coupling effect between systematic and random errors.To verify the effectiveness of the proposed theoretical model,extensive numerical experiments are conducted.The experimental results match well with the theoretical predictions.Theoretical and numerical simulation results indicate that the smaller speckle radii,the greater systematic errors,the higher noise levels,the greater random errors,and increase in noise levels will also lead to the increase in coupling errors.

digital image correlation(DIC)frequency domain analysiserror theorycomprehensive error

周俊龙、蔡送宝、耿文宾、王志勇

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天津大学机械工程学院,天津 300050

中国建筑第六工程局有限公司,天津 300450

数字图像相关 频域分析 误差理论 综合误差

2025

天津大学学报
天津大学

天津大学学报

北大核心
影响因子:0.793
ISSN:0493-2137
年,卷(期):2025.58(3)