arXiv:2410.18388cs.CV2024-10中稿 · TIP被引 9

针对高光谱图像不规则空间分布,提出新型低秩张量表示方法。

Irregular Tensor Low-Rank Representation for Hyperspectral Image Representation

  • 用非凸核范数和全局负低秩项建模不规则3D张量结构
  • 在4个公开数据集上优于现有最先进方法
  • 适合处理真实场景中不规则分布的高光谱图像

光谱变化是分析高光谱图像(HSI)的常见挑战。低秩张量表示因其能捕捉数据内在相关性而成为稳健策略。然而,地物在高光谱图像中的空间分布本质上不规则,天然以张量形式存在,且存在大量类特定区域,表现为不规则张量。现有低秩表示方法针对规则张量结构设计,忽视了真实高光谱图像中的这一基本不规则性,导致性能受限。为此,我们提出一种新型不规则张量低秩表示模型,专用于高效建模不规则3D立方体。通过引入非凸核范数以促进低秩性,并结合全局负低秩项以增强判别能力,将模型构建为约束优化问题,并采用交替增广拉格朗日法求解。在四个公开数据集上的实验验证表明,该方法优于现有最先进方法。代码已公开于 https://github.com/hb-studying/ITLRR。

原文摘要 · Abstract (English)

Spectral variations pose a common challenge in analyzing hyperspectral images (HSI). To address this, low-rank tensor representation has emerged as a robust strategy, leveraging inherent correlations within HSI data. However, the spatial distribution of ground objects in HSIs is inherently irregular, existing naturally in tensor format, with numerous class-specific regions manifesting as irregular tensors. Current low-rank representation techniques are designed for regular tensor structures and overlook this fundamental irregularity in real-world HSIs, leading to performance limitations. To tackle this issue, we propose a novel model for irregular tensor low-rank representation tailored to efficiently model irregular 3D cubes. By incorporating a non-convex nuclear norm to promote low-rankness and integrating a global negative low-rank term to enhance the discriminative ability, our proposed model is formulated as a constrained optimization problem and solved using an alternating augmented Lagrangian method. Experimental validation conducted on four public datasets demonstrates the superior performance of our method compared to existing state-of-the-art approaches. The code is publicly available at https://github.com/hb-studying/ITLRR.

高光谱图像张量表示低秩模型

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