通过时空解耦与正则化,提升碳纤维材料热成像测深精度。
Computational Depth Measurement in Thermographic Video: Overcoming Spatial Overfitting via Spatio-Temporal Decoupling

- 将缺陷定位与深度预测分离,避免模型记忆几何位置
- 使用正则化XGBoost模型,平均误差仅0.056毫米
- 适合需要高精度无损检测的航空结构评估场景
在碳纤维复合材料(CFRP)中准确测量分层缺陷的穿透深度对结构评估至关重要,因缺陷位置决定受力层。光学脉冲热成像(OPT)提供二维热视频而非体数据,需从热扩散时序响应推断深度。挑战在于空间数据偏差:当校准缺陷呈规则网格分布时,回归模型可能记忆其几何形状而非学习热衰减与深度的物理关系。本文提出时空解耦架构,先用分割方法定位缺陷区域,再对热响应进行空间平均,提取十六个物理引导的时序、能量、统计和几何特征。这些特征揭示一维热传导规律,同时屏蔽像素坐标输入深度模型。采用样本级交叉验证评估四种回归模型:随机森林(RF)、梯度提升机(GBM)、先进多层感知机(Adv-MLP)和XGBoost。未正则化的树模型和过参数化的Adv-MLP在几何偏移下出现校准崩溃,误差超0.5毫米。相反,带L1/L2正则化和列采样的XGBoost保持跨样品校准,实现均方误差(MAE)0.056毫米,均方根误差(RMSE)0.085毫米。预测深度与掩码融合生成三角剖分三维缺陷模型,每样品耗时3至5秒。结果表明,数学正则化与时空解耦有效降低热视频深度回归中的空间记忆现象。
原文摘要 · Abstract (English)
Accurate through-thickness measurement of subsurface delamination depth in Carbon Fiber Reinforced Polymer (CFRP) is important for structural assessment because defect location determines affected load-bearing layers. Optical pulsed thermography (OPT) provides a two-dimensional thermal video rather than volumetric measurements, so depth must be inferred from temporal heat-diffusion responses. A challenge is spatial dataset bias: when calibration defects follow regular grids, regression models may memorize their geometry instead of learning physical relationship between thermal decay and depth. This work introduces a spatio-temporal decoupling architecture that separates spatial defect localization from temporal depth measurement. Defect regions are first localized using segmentation methods, after which thermal responses are spatially averaged and converted into sixteen physics-informed temporal, energy, statistical, and geometric features. These features expose the one-dimensional heat-conduction relationship while withholding pixel coordinates from the depth model. Four regression models are evaluated using specimen-level cross-validation: Random Forest (RF), Gradient Boosting Machine (GBM), Advanced Multi-Layer Perceptron (Adv-MLP), and XGBoost. Unregularized trees and over-parameterized Adv-MLP exhibit calibration collapse under geometric shifts, with errors exceeding 0.5 mm. In contrast, regularized XGBoost with L1/L2 penalties and column sampling maintains cross-specimen calibration, achieving a mean absolute error (MAE) of 0.056 mm and root mean square error (RMSE) of 0.085 mm. Predicted depths are merged with masks to generate Delaunay-triangulated three-dimensional defect models in three to five seconds per specimen. Results show that mathematical regularization and spatio-temporal decoupling reduce spatial memorization in thermal-video depth regression.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。