Kernel sparse representation for hyperspectral unmixing based on high mutual coherence spectral library

2019 ◽  
Vol 41 (4) ◽  
pp. 1286-1301 ◽  
Author(s):  
Xuhui Weng ◽  
Wuhu Lei ◽  
Xiaodong Ren
2018 ◽  
Vol 10 (2) ◽  
pp. 339 ◽  
Author(s):  
Xiangrong Zhang ◽  
Chen Li ◽  
Jingyan Zhang ◽  
Qimeng Chen ◽  
Jie Feng ◽  
...  

2019 ◽  
Vol 356 ◽  
pp. 97-106 ◽  
Author(s):  
Lin Qi ◽  
Jie Li ◽  
Xinbo Gao ◽  
Ying Wang ◽  
Chongyue Zhao ◽  
...  

2016 ◽  
Vol 54 (9) ◽  
pp. 5171-5184 ◽  
Author(s):  
Xiao Fu ◽  
Wing-Kin Ma ◽  
Jose M. Bioucas-Dias ◽  
Tsung-Han Chan

Author(s):  
X. Wu ◽  
X. Zhang ◽  
H. Lin

Eberswalde Crater, a hotspot of Mars exploration, possesses an unambiguous hydrological system. However, little research has been performed on the large-scale mineral abundances retrieval in this region. Hence, we employed hyperspectral unmixing technology to quantitatively retrieve mineral abundances of the delta region in Eberswalde. In this paper, the single-scattering albedos were calculated by the Hapke bidirectional reflectance function from Compact Reconnaissance Imaging Spectrometer for Mars (CRISM) data (FRT000060DD) and CRISM spectral library respectively, and a sparse unmixing algorithm was adopted to quantitatively retrieve mineral abundances. The abundance maps show that there are six kinds of minerals (pyroxene, olivine, plagioclase, siderite, diaspore, and tremolite). By comparing minerals spectra obtained from images with corresponding spectra in spectral library, we found the similar trend in both curves. Besides, the mineral abundance maps derived in this study agree well spatially with CRISM parameter maps. From the perspective of mineralogy, the instability of pyroxene and olivine indicates the area in which they distribute is close to provenance, and the original provenance is ultrabasic rock (e.g. peridotite) and basic rock (e.g. gabbro), respectively. And minerals, existing in the area of alluvial fan, also distribute in the outside of alluvial fan, which might be caused by fluid transportation.


Author(s):  
Zuoyu Zhang ◽  
Shouyi Liao ◽  
Hao Fang ◽  
Hexin Zhang ◽  
Shicheng Wang

2019 ◽  
Vol 16 (7) ◽  
pp. 1140-1144 ◽  
Author(s):  
Lin Qi ◽  
Jie Li ◽  
Ying Wang ◽  
Xinbo Gao

Author(s):  
Zuoyu Zhang ◽  
Shouyi Liao ◽  
Hao Fang ◽  
Hexin Zhang ◽  
Shicheng Wang

Author(s):  
L. Drees ◽  
R. Roscher

This paper focuses on the quantification of land cover fractions in an urban area of Berlin, Germany, using simulated hyperspectral EnMAP data with a spatial resolution of 30m×30m. For this, sparse representation is applied, where each pixel with unknown surface characteristics is expressed by a weighted linear combination of elementary spectra with known land cover class. The elementary spectra are determined from image reference data using simplex volume maximization, which is a fast heuristic technique for archetypal analysis. In the experiments, the estimation of class fractions based on the archetypal spectral library is compared to the estimation obtained by a manually designed spectral library by means of reconstruction error, mean absolute error of the fraction estimates, sum of fractions and the number of used elementary spectra. We will show, that a collection of archetypes can be an adequate and efficient alternative to the spectral library with respect to mentioned criteria.


2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
HongZhong Tang ◽  
Xiaogang Zhang ◽  
Hua Chen ◽  
Ling Zhu ◽  
Xiang Wang ◽  
...  

Optimizing the mutual coherence of a learned dictionary plays an important role in sparse representation and compressed sensing. In this paper, a efficient framework is developed to learn an incoherent dictionary for sparse representation. In particular, the coherence of a previous dictionary (or Gram matrix) is reduced sequentially by finding a new dictionary (or Gram matrix), which is closest to the reference unit norm tight frame of the previous dictionary (or Gram matrix). The optimization problem can be solved by restricting the tightness and coherence alternately at each iteration of the algorithm. The significant and different aspect of our proposed framework is that the learned dictionary can approximate an equiangular tight frame. Furthermore, manifold optimization is used to avoid the degeneracy of sparse representation while only reducing the coherence of the learned dictionary. This can be performed after the dictionary update process rather than during the dictionary update process. Experiments on synthetic and real audio data show that our proposed methods give notable improvements in lower coherence, have faster running times, and are extremely robust compared to several existing methods.


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