PCA联合字典的稀疏系数NMF融合  

Sparse coefficient NMF fusion via PCA united dictionary

作　　者：孙小芳[1] SUN Xiaofang(Department of Geography y Minjiang College , Fuzhou 350121, China)

机构地区：[1]闽江学院地理科学系,福州350121

出　　处：《国土资源遥感》2018年第4期56-61,共6页Remote Sensing for Land & Resources

基　　金：国家自然科学基金项目"基于MODIS BRDF产品的叶片聚集度系数遥感反演与验证"(编号:41271354);福建省科技厅项目"基于高光谱特征与目标分割的城市地物识别研究"(编号:2015J01627);闽江学院资助项目"基于稀疏的高光谱与高分辨率遥感融合与解混"(编号:MYK17013)共同资助

摘　　要：为了减少混合像元对字典建立的影响,结合在线字典学习法与主成分分析(principal component analysis,PCA)法提取全色与各分解影像字典的第一主成分分量构成PCA联合稀疏字典。该字典包括多光谱影像特征与高空间分辨率影像特征,同时考虑到了混合像元问题。使用PCA联合稀疏字典进行正交匹配追踪法(orthogonal matching pursuit,OMP)计算,分别得到全色与多光谱影像的稀疏系数,采用非负矩阵分解(nonnegative matrix factor,NMF)融合算法得到融合影像的稀疏系数,进行重构生成融合影像。对字典矩阵大小的研究,考虑到重构图像的均方根误差与计算机运算的限制,最终确定稀疏字典矩阵大小为64像元×480像元。采用5种定量融合评定指标对本文方法与联合字典NMF方法、小波方法和PCA方法的影像融合结果进行分析比较,结果表明本文方法既可提高融合影像的纹理细节信息,也能较好地保持多光谱信息,获得更好的融合效果。In order to reduce the influence of mixed pixel on dictionary,the author has constituted principal component analysis(PCA) united sparse dictionary from the first principal component extracted with sparse dictionary of panchromatic image and unmiximg image by the online dictionary learning algorithm and PCA. The sparse dictionary can include multi-spectral image and high-spatial resolution image features,while considering the mixed pixel problem. The sparse coefficients of panchromatic and multi-spectral images are calculated using PCA united sparse dictionary and orthogonal matching pursuit(OMP) algorithm,then the sparse coefficients of fusion image are calculated using nonnegative matrix factor(NMF) fusion algorithm,thus reconstructing fusion image. In consideration of the root mean square error of the reconstructed image and the limitation of computing,research on the dictionary matrix size shows that the final matrix size of sparse dictionary is 64 × 480. An analysis of five quantitative assessment indexes demonstrates that more texture details and multi-spectral information can be obtained by the proposed fusion than by united sparse dictionary NMF fusion,wavelet fusion and PCA fusion. The proposed method can obtain better fusion result.

关 键 词：PCA联合稀疏字典 在线字典学习法 OMP算法 NMF融合 

分 类 号：P23[天文地球—摄影测量与遥感]