arXiv:2609.08777cs.CV2026-09

通过解耦光谱与结构噪声,实现可解释的高光谱图像去噪。

AXS-Net: Interpretable Deep Unfolding for Hyperspectral Image Denoising via Spectral Basis Unmixing and Structured Noise Refinement

论文配图:AXS-Net: Interpretable Deep Unfolding for Hyperspectral Image Denoising via Spectral Basis Unmixing and Structured Noise Refinement
图 1 · 摘自论文原文
  • 将去噪建模为光谱解混与结构噪声分离的交替优化过程。
  • 在三个数据集上对五种噪声均表现优异,结构噪声恢复接近真实值。
  • 输出可解释的端元、丰度图和噪声估计,适合需要透明性的应用。

高光谱图像常受混合噪声干扰,包括波段相关高斯扰动和条纹、死线、脉冲噪声等结构化伪影。现有深度去噪方法多直接回归干净图像,混淆了信号与结构噪声。本文提出将去噪建模为 $\Y=\A\X+\Snoise+\Nnoise$,其中 $\A\X$ 为低秩光谱子空间(解混)重建,$\Snoise$ 为结构稀疏噪声,$\Nnoise$ 为残余高斯噪声。由此构建的正则化优化问题被展开为 AXS-Net,一个 $K$ 阶交替近似点框架。每阶段结合解析光谱基梯度步、用于丰度系数的 SSX-Block 近似算子,以及具有列一致性与稀疏先验的 SBlock 近似算子。该优化对应关系揭示了可解释的端元、丰度图与结构噪声估计。在 ICVL、CAVE 与哈佛数据集上,针对五种噪声配置,所提方法在域内表现强,零样本迁移性能也具竞争力,在所有五类噪声下于 ICVL 与哈佛数据集均获一致提升。恢复的结构噪声与合成参考高度吻合,恢复的光谱基平滑且波段有序,非任意潜空间通道。

原文摘要 · Abstract (English)

Hyperspectral images (HSIs) are often degraded by mixed noise, including band-dependent Gaussian perturbations and structured artifacts such as stripes, dead-lines, and impulse noise. Most deep denoisers regress the clean image directly, entangling signal and structured noise. We instead model HSI denoising as $\Y=\A\X+\Snoise+\Nnoise$, where $\A\X$ is a low-rank spectral-subspace (unmixing) reconstruction, $\Snoise$ is structured sparse noise and $\Nnoise$ is residual Gaussian noise. The resulting regularized optimization problem is unrolled into AXS-Net, a $K$-stage alternating proximal-point framework. Each stage combines an analytic spectral-basis gradient step, an SSX-Block proximal operator for abundance coefficients, and an SBlock proximal operator for the structured residual with column-consistent and sparse priors. This optimization correspondence exposes interpretable endmembers, abundance maps, and structured-noise estimates. Across ICVL, CAVE, and Harvard datasets and five noise configurations, the proposed AXS-Net achieves strong in-domain accuracy and competitive zero-shot transfer, with consistent gains across all five noise regimes on ICVL and Harvard. The recovered structured-noise closely follows the synthetic reference, and the recovered spectral basis is smooth and band-ordered rather than an arbitrary set of latent channels.

高光谱去噪可解释模型光谱解混

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