A nonlinear spectral unmixing method for mural painting pigments based on the extended multilinear mixing model and convolutional autoencoder
摘要
Mural painting pigments are frequently applied in mixed form. Their reflectance spectra exhibit significant nonlinear characteristics due to multiple scattering effects, which poses substantial challenges for hyperspectral unmixing. This study proposes an extended multilinear mixing model-based convolutional autoencoder unmixing method (EMLM-CAE), which explicitly embeds the EMLM physical model into the decoder to characterize band-dependent nonlinear spectral variation while jointly capturing spatial and spectral information. Laboratory mixed-pigment experiments confirm significant band-dependent nonlinear features and show that the proposed method outperforms representative linear and nonlinear models in spectral reconstruction and abundance estimation. Validation on in situ hyperspectral images of Potala Palace mural paintings further demonstrates stable abundance inversion, achieving a reconstruction error of 0.0279 and a spectral angle distance of 0.0318. The results identify major pigments, including azurite, emerald green, cinnabar, minium, orpiment, and gold, and reveal widespread blue-green mixing with regionally distinct proportions.