Research Experiences for Undergraduates in Computational Methods with Applications in Materials Science

MSU Affiliation

College of Arts and Sciences; Department of Mathematics and Statistics; Center for Computational Sciences

Research Mentor

Tung-Lung Wu

Creation Date

7-25-2025

Abstract

Nanoproducts are a growing sector due to their unique properties and wide range of applications across industries.  However, nanomaterial production is a complex process that requires a high degree of precision, making it challenging to ensure consistent quality at a large scale. Minor defects can significantly alter their functional properties and overall performance, making accurate detection of defects crucial for maintaining and controlling nanomaterial properties. To address these challenges, this project applies scan statistics to detect localized defects in scanning election microscope images of nanofibrous materials. We implemented both square and circular scanning windows of varying sizes to identify clusters in the images. By generating null distributions through permutation testing, we assessed the statistical significance of detected regions, leading to reliable identification of anomalies. For each image, we identified the most effective scan window by selecting the size that minimized the p-value, allowing us to adapt the detection process to the unique spatial features of each image and effectively address different types of anomalies. Overall, this approach provides a robust and adaptable method for automated anomaly detection, with the potential to enhance quality control in nanomaterial manufacturing.

Presentation Date

Summer 7-31-2025

Keywords

scan statistics, nanomaterials, anomaly detection

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