Abstract

Pulsed Thermography (PT) data are usually affected by noise and as such most of the research effort in the last few years has been directed towards the development of advanced signal processing methods to improve defect detection. Among the numerous techniques that have been proposed, principal component thermography (PCT)—based on principal component analysis (PCA)—is one of the most effective in terms of defect contrast enhancement and data compression. However, it is well-known that PCA can be significantly affected in the presence of corrupted data (e.g., noise and outliers). Robust PCA (RPCA) has been recently proposed as an alternative statistical method that handles noisy data more properly by decomposing the input data into a low-rank matrix and a sparse matrix. We propose to process PT data by RPCA instead of PCA in order to improve defect detectability. The performance of the resulting approach, Robust Principal Component Thermography (RPCT)—based on RPCA, was evaluated with respect to PCT—based on PCA, using a CFRP sample containing artificially produced defects. We compared results quantitatively based on two metrics, Contrast-to-Noise Ratio (CNR), for defect detection capabilities, and the Jaccard similarity coefficient, for defect segmentation potential. CNR results were on average 40% higher for RPCT than for PCT, and the Jaccard index was slightly higher for RPCT (0.7395) than for PCT (0.7010). In terms of computational time, however, PCT was 11.5 times faster than RPCT. Further investigations are needed to assess RPCT performance on a wider range of materials and to optimize computational time.

Highlights

  • The unique features that make carbon fiber reinforced plastics (CFRP) preferable to other materials are their high strength-to-weight ratio, good corrosion resistance, high fatigue resistance, and very low coefficient of thermal expansion

  • We propose a new formulation of the Robust PCA (RPCA) named Orthogonal Inexact

  • We evaluated the performance of the resulting approach, Robust Principal Component Thermography (RPCT), for detecting defects and discontinuities in CFRP and compared the results with those of principal component thermography (PCT) using two quantitative metrics: Contrast-to-Noise Ratio (CNR) and the Jaccard similarity coefficient

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Summary

Introduction

The unique features that make carbon fiber reinforced plastics (CFRP) preferable to other materials are their high strength-to-weight ratio, good corrosion resistance, high fatigue resistance, and very low coefficient of thermal expansion. Infrared thermography (IRT) is a fast, non-contact, and non-invasive NDT approach to detect and characterize anomalies (surface or sub-surface defects) in materials. Pulsed thermography (PT) is one of the most popular active IRT approaches [1] It is based on thermal heat transfer analysis in transient mode (during cooling). The presence of a discontinuity will change the diffusion rate, which will affect the heat distribution of the object These thermal changes will appear at the surface at different times, depending on the properties of the object and the defects, as well as their depths. To extract meaningful information from the noisy recorded data, different mathematical methods have been proposed

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