This invention discloses a method for assessing the
weathering of sandstone artifacts based on the fusion of multi-source heterogeneous
data driven by physical-manifold
collaboration, belonging to the field of cultural relic protection technology. Addressing the contradiction that surface
spectral data of sandstone artifacts is dense but cannot probe the interior, while internal physical data is accurate but extremely sparse and lossy, this invention proposes a "surface-to-interior" fusion strategy. First, using a
physical information deep learning model, physical partial differential equations are introduced as prior constraints to extrapolate sparse
point data into a continuous deep physical
tensor across the entire field, achieving a "penetrating" effect. Second, based on Riemannian manifold geometry, spectral-physical enhancement features are mapped to the tangent space to extract
noise-resistant surface manifold features. Furthermore, through coupled
tensor decomposition, deep mechanisms and surface properties are forcibly aligned in the latent feature space. Finally, a high-order Laplacian
hypergraph model is used to achieve pixel-level classification of
weathering degree. This method effectively solves the problems of spatial scale mismatch and missing physical mechanisms in multi-
source data, achieving a non-destructive, full-field, and accurate
quantitative assessment of the
weathering status of cultural relics.