基于混合像元空间与谱间相关性模型的NMF线性盲解混

基于相关性分析的高光谱解混算法，通常缺少对高光谱图像空间和光谱相关性特征的综合分析与利用，或对于先验知识的依赖程度较高。本文提出一种基于混合像元空间与谱间相关性模型的NMF线性盲解混算法。具体包括：通过改进马尔科夫随机场（MRF）模型，建立相邻像元间的空间相关模型；利用复杂度映射技术，建立相邻波段间的光谱相关模型；在NMF目标函数外部和内部分别引入上述两种模型，作为盲解混算法的约束条件。试验结果表明，该算法相对于区域相关的NMF解混算法（ACBNMF）、最小化光谱相关度约束的NMF方法（MSCCNMF）和最小体积约束的非负矩阵分解（MVCNMF）等代表性NMF解混参考算法，解混精度有所提高；同时，降低了对于先验知识的依赖程度，拓宽了适用范围。

NMF linear blind unmixing method based on mixed pixel's spatial and spectral correlation model

The present hyperspectral unmixing methods based on correlation analysis, either lack of comprehensive analysis and utilization of hyperspectral image's spatial & spectral correlation characteristics, or have a high dependence degree on prior knowledge. This paper proposes a NMF linear blind unmixing method based on mixed pixel's spatial and spectral correlation model. The method sets up spatial correlation model of adjacent pixels by improving Markov Random Filed(MRF) model, sets up spectral correlation model of adjacent bands by adopting complexity mapping technology, and introduces the two models respectively into NMF objective function externally and internally, as the constraints of the blind unmixing method. Experimental result indicates that, the proposed method can significantly reduced the degree of dependence on prior knowledge, comparing with other representative NMF reference methods including area-correlated spectral unmixing method based on Bayesian nonnegative matrix factorization(ACBNMF), minimum spectral correlation constraint NMF(MSCCNMF) and minimum volume constrained nonnegative matrix factorization(MVCNMF), the unmixing accuracy is also improved.