Title
Does Deblurring Improve Geometrical Hyperspectral Unmixing?
Abstract
In this paper, we consider hyperspectral unmixing problems where the observed images are blurred during the acquisition process, e.g., in microscopy and spectroscopy. We derive a joint observation and mixing model and show how it affects endmember identifiability within the geometrical unmixing framework. An analysis of the model reveals that nonnegative blurring results in a contraction of both the minimum-volume enclosing and maximum-volume enclosed simplex. We demonstrate this contraction property in the case of a spectrally invariant point-spread function. The benefit of prior deconvolution on the accuracy of the restored sources and abundances is illustrated using simulated and real Raman spectroscopic data.
Year
DOI
Venue
2014
10.1109/TIP.2014.2300822
IEEE Transactions on Image Processing
Keywords
Field
DocType
deconvolution,hyperspectral imaging,noise,vectors,image restoration,raman spectroscopy,mathematical model,indexes,trajectory,point spread function
Computer vision,Deblurring,Pattern recognition,Identifiability,Deconvolution,Hyperspectral imaging,Simplex,Artificial intelligence,Invariant (mathematics),Image restoration,Mathematics,Joint observation
Journal
Volume
Issue
ISSN
23
3
1941-0042
Citations 
PageRank 
References 
5
0.46
18
Authors
4
Name
Order
Citations
PageRank
Simon Henrot1704.62
Charles Soussen211315.21
Manuel Dossot350.46
David Brie413024.28