arXiv:2609.08786cs.CV2026-09

提出可解释的高光谱解混框架,分离光照变化等干扰因素,提升解混稳定性。

Interpretable Hyperspectral Unmixing Framework with Fixed Endmember Prior and Structured Residual Refinement

论文配图:Interpretable Hyperspectral Unmixing Framework with Fixed Endmember Prior and Structured Residual Refinement
图 1 · 摘自论文原文
  • 分阶段设计:固定端元矩阵 + 丰度估计块 + 结构残差优化块
  • 在不准确端元先验下,重建误差降低61.7%~69.5%,丰度误差几乎不变
  • 适合处理光照变化、传感器噪声等结构性偏差,适用于遥感解混任务

高光谱解混将混合像元分解为物质端元及其丰度。在模块化传感流程中,端元常先被识别并固定用于丰度估计。当端元先验不准确时,光照变化、传感器伪影或材料边界引起的结构化失配会被误归入丰度变量,导致解混不稳定。本文提出一种可解释的分阶段高光谱解混框架(I-HyperSU),显式分解为固定端元矩阵 $\mathbf{A}$、丰度块 $\mathbf{X}$ 与结构残差修正块 $\mathbf{S}$。$\mathbf{X}$ 块使用FISTA算法结合非负性与稀疏性增强,并以软惩罚近似满足和为1约束;$\mathbf{S}$ 块联合应用低秩SVD结构正则与轻量级深度图像先验(DIP)来优化结构残差。该分阶段设计使丰度与残差间交互透明可解释。在Samson、Urban、Jasper Ridge数据集上的实验表明,在固定且不准确的端元先验下,软丰度松弛优于硬单纯形投影。默认采用N-FINDR端元先验时,相比固定$\mathbf{A}$的UCLS基线,本框架将联合重建误差降低61.7%–69.5%,同时保持丰度RMSE几乎不变,说明残差修正分支有效捕捉结构失配而未损害丰度估计。例如,在Urban数据集上,重建角谱距离(SAM)从$5.99^\circ$降至$1.92^\circ$。

原文摘要 · Abstract (English)

Hyperspectral unmixing decomposes mixed pixels into material endmembers and their abundances from contiguous spectral observations. In modular sensing pipelines, endmembers are often first identified and then treated as fixed during abundance estimation. When this fixed endmember prior is inaccurate, spatially structured mismatch arising from illumination changes, sensor artifacts, or material boundaries may be incorrectly captured by the abundance variables, leading to unstable decompositions. This study presents an interpretable stage-wise hyperspectral unmixing framework (I-HyperSU) under fixed endmember priors, which is explicitly decomposed into a fixed endmember matrix $\mathbf{A}$, an abundance block $\mathbf{X}$, and a structural residual refinement block $\mathbf{S}$. The X-block estimates abundances using FISTA with nonnegativity and sparsity enhancement, and a soft penalty that approximately enforces sum-to-one constraints. The S-block jointly applies low-rank SVD structural regularization and a lightweight deep image prior (DIP) to refine structured residuals. This staged design makes the interaction between abundance and residual components transparent and interpretable. Experiments on Samson, Urban, and Jasper Ridge datasets demonstrate that, under fixed and imperfect endmember priors, soft abundance relaxation consistently outperforms hard simplex projection. Under the default N-FINDR endmember prior, the proposed framework reduces the joint reconstruction error by 61.7\%--69.5\% compared with a fixed-$\mathbf{A}$ UCLS baseline, while keeping the abundance RMSE nearly unchanged, indicating that the residual refinement branch accounts for structured model mismatch without degrading the abundance estimates. For example, on Urban, the reconstruction SAM decreases from $5.99^\circ$ for the X-only model to $1.92^\circ$ for the full model.

高光谱解混可解释性残差修正端元先验

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