Title
A constrained formulation for compressive spectral image reconstruction using linear mixture models
Abstract
Recent hyperspectral imaging systems are constructed on the idea of compressive sensing for efficient acquisition. However, the traditional reconstruction model in compressive hyperspectral imaging has a high computational complexity. In this work, compressive hyperspectral imaging and unmixing are combined for hyperspectral reconstruction in a low-complexity scheme. The compressed hyperspectral measurements are acquired with a single pixel spectrometer. The reconstruction model is represented in a space of lower dimension named linear mixture model. Hyperspectral reconstruction is then formulated as a nonnegative matrix factorization problem with respect to the endmembers and abundances, bypassing high-complexity tasks involving the hyperspectral data cube itself. The nonnegative matrix factorization problem is solved by combining an alternating least-squares based estimation strategy with the alternating direction method of multipliers. The estimated performance of the proposed scheme is illustrated in experiments conducted on a simulated acquisition in real data outperforming in 3dB the state-of-the-art reconstruction algorithms.
Year
DOI
Venue
2017
10.1109/CAMSAP.2017.8313122
2017 IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)
Keywords
Field
DocType
constrained formulation,compressive spectral image reconstruction,linear mixture model,compressive sensing,compressive hyperspectral imaging,hyperspectral reconstruction,low-complexity scheme,compressed hyperspectral measurements,nonnegative matrix factorization problem,hyperspectral data cube,hyperspectral imaging systems,alternating least-squares based estimation strategy
Iterative reconstruction,Computer science,Algorithm,Hyperspectral imaging,Non-negative matrix factorization,Pixel,Mixture model,Compressed sensing,Data cube,Computational complexity theory
Conference
ISBN
Citations 
PageRank 
978-1-5386-1252-1
0
0.34
References 
Authors
11
3
Name
Order
Citations
PageRank
Jorge Bacca165.25
Héctor Vargas2486.63
Henry Arguello39030.83