用深度学习自动分解古画截面红外光谱图像,提升材料分析效率与准确性。
Unmixing ATR-μFTIR spectroscopic images of cross-sections of historical oil paintings
- 基于卷积神经网络的无监督解混模型,利用局部空间结构建模光谱混合。
- 引入加权光谱角距离损失,显著改善污染区域的解混可解释性。
- 适用于艺术史与文化遗产领域,尤其适合处理复杂多层古画样本。
光谱成像技术在遗产科学中日益重要,能够实现对文物材料的非侵入性、空间分辨表征。特别是衰减全反射傅里叶变换红外显微镜(ATR-μFTIR)被广泛用于分析绘画截面,每个像素记录一个光谱,构成高光谱图像(HSI)。然而,数据解读困难:光谱常为多种成分在异质、多层且退化的样品中的混合体,现有方法仍严重依赖人工与参考库比对,流程缓慢、主观且难扩展。本文提出一种无监督卷积神经网络自编码器,用于盲解混ATR-μFTIR HSI,估计端元光谱及其丰度图,并通过基于图像块的空间结构建模增强性能。为降低超过1500个波段中大气和采集伪影的影响,引入加权光谱角距离(WSAD)损失,其波段可靠性权重由空间平坦性、邻域一致性及光谱粗糙度等鲁棒指标自动推导。相比标准光谱角距离训练,WSAD显著提升污染敏感区域的可解释性。方法在范·艾克兄弟《根特祭坛画》的ATR-μFTIR截面数据上得到验证。
原文摘要 · Abstract (English)
Spectroscopic imaging (SI) has become central to heritage science because it enables non-invasive, spatially resolved characterisation of materials in artefacts. In particular, attenuated total reflection Fourier transform infrared microscopy (ATR-$μ$FTIR) is widely used to analyse painting cross-sections, where a spectrum is recorded at each pixel to form a hyperspectral image (HSI). Interpreting these data is difficult: spectra are often mixtures of several species in heterogeneous, multi-layered and degraded samples, and current practice still relies heavily on manual comparison with reference libraries. This workflow is slow, subjective and hard to scale. We propose an unsupervised CNN autoencoder for blind unmixing of ATR-$μ$FTIR HSIs, estimating endmember spectra and their abundance maps while exploiting local spatial structure through patch-based modelling. To reduce sensitivity to atmospheric and acquisition artefacts across more than 1500 bands, we introduce a weighted spectral angle distance (WSAD) loss with automatic band-reliability weights derived from robust measures of spatial flatness, neighbour agreement and spectral roughness. Compared with standard SAD training, WSAD improves interpretability in contamination-prone spectral regions. We demonstrate the method on an ATR-$μ$FTIR cross-section from the Ghent Altarpiece by the Van Eyck brothers.
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