Mathematical modeling for compositional analysis and identification of ancient glass objects

Xiuliang Qiu; Sujun Weng; Yuchen Lin; Yajun Zhuang

doi:10.1117/12.3035230

21 July 2024 Mathematical modeling for compositional analysis and identification of ancient glass objects

Xiuliang Qiu, Sujun Weng, Yuchen Lin, Yajun Zhuang

Proceedings Volume 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024); 132190B (2024) https://doi.org/10.1117/12.3035230
Event: 4th International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2024), 2024, Kaifeng, China

Abstract

This paper establishes a classification model of ancient glass artifacts based on the relevant data of ancient Chinese glass artifacts using logistic regression analysis. In order to study the compositional changes and identification of glass artifacts, firstly, the relationship between the surface characteristics of glass artifacts and weathering conditions is analyzed by using the chi-square test, and the data are visualized to illustrate the statistical laws; random sampling is used to eliminate the influence of unbalanced samples, and a univariate linear regression model is fitted to predict the content of the chemical compositions before weathering. Secondly, the changes in the average chemical content of the two glass surfaces under different weathering conditions were visualized and analyzed, and the pairwise test of the chemical composition data was carried out by the rank-sum test to classify the different samples based on the K-mean clustering, and the sensitivity of the classification was analyzed. Finally, grey correlation analysis was used to quantify the degree of correlation between different chemical compositions of the same type of glass, and the variation of the degree of correlation between different types of glass was visualized and analyzed.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Xiuliang Qiu, Sujun Weng, Yuchen Lin, and Yajun Zhuang "Mathematical modeling for compositional analysis and identification of ancient glass objects", Proc. SPIE 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024), 132190B (21 July 2024); https://doi.org/10.1117/12.3035230

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KEYWORDS

Glasses

Oxides

Chemical analysis

Lead

Barium

Potassium

Chemical composition

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