arXiv:2509.11096cs.CV2025-09被引 4

用数学耦合模型捕捉高光谱图像动态演变,提升时序解混精度。

A Copula-Guided Temporal Dependency Method for Multitemporal Hyperspectral Images Unmixing

  • 引入耦合函数显式建模时序依赖关系,改进传统方法。
  • 在合成与真实数据上均显著提升解混效果,验证方法有效性。
  • 适合研究时序高光谱图像演化规律的科研人员使用。

多时相高光谱解混(MTHU)旨在建模变化的端元和动态丰度,强调关键的时序信息。然而现有方法在建模时序依赖关系方面存在局限,难以捕捉材料的动态演变过程。受耦合理论能显式建模依赖结构能力的启发,本文提出一种耦合引导的时序依赖方法(Cog-TD)。Cog-TD定义了新的数学模型,构建了耦合引导框架,并设计两个具理论支持的关键模块。数学模型通过引入耦合理论,显式描述时序依赖结构;耦合引导框架利用耦合函数,估计具有时序依赖性的动态端元与丰度;关键模块包括耦合函数估计与时序依赖引导,用于计算并利用时序信息指导解混过程。理论支持表明所估计的耦合函数有效,且时序依赖存在于高光谱图像中。主要贡献包括:以时序依赖重定义MTHU问题,提出耦合引导框架,开发两个关键模块并提供理论支撑。在合成与真实数据集上的实验结果验证了该方法的有效性。

原文摘要 · Abstract (English)

Multitemporal hyperspectral unmixing (MTHU) aims to model variable endmembers and dynamical abundances, which emphasizes the critical temporal information. However, existing methods have limitations in modeling temporal dependency, thus fail to capture the dynamical material evolution. Motivated by the ability of copula theory in modeling dependency structure explicitly, in this paper, we propose a copula-guided temporal dependency method (Cog-TD) for multitemporal hyperspectral unmixing. Cog-TD defines new mathematical model, constructs copula-guided framework and provides two key modules with theoretical support. The mathematical model provides explicit formulations for MTHU problem definition, which describes temporal dependency structure by incorporating copula theory. The copula-guided framework is constructed for utilizing copula function, which estimates dynamical endmembers and abundances with temporal dependency. The key modules consist of copula function estimation and temporal dependency guidance, which computes and employs temporal information to guide unmixing process. Moreover, the theoretical support demonstrates that estimated copula function is valid and the represented temporal dependency exists in hyperspectral images. The major contributions of this paper include redefining MTHU problem with temporal dependency, proposing a copula-guided framework, developing two key modules and providing theoretical support. Our experimental results on both synthetic and real-world datasets demonstrate the utility of the proposed method.

高光谱解混时序建模耦合模型

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