Title
Impact of collinearity on linear and nonlinear spectral mixture analysis
Abstract
Linear and nonlinear spectral mixture analysis has been studied for deriving the fractions of spectrally pure materials in a mixed pixel in the past decades. However, not much attention has been given to the collinearity problem in spectral unmixing. In this paper, quantitative analysis and detailed simulations are provided which show that the high correlation between the endmembers, including the virtual endmembers introduced in a nonlinear model, has a strong impact on unmixing errors through inflating the Gaussian noise. While distinctive spectra with low correlations are often selected as true endmembers, the virtual endmembers formed by their product terms can be highly correlated with others. Therefore, it is found that a nonlinear model generally suffers the collinearity problem more in comparison with a linear model and may not perform as expected when the Gaussian noise is high, despite its higher modeling power. Experiments were conducted to illustrate the effects.
Year
DOI
Venue
2010
10.1109/WHISPERS.2010.5594918
WHISPERS
Keywords
Field
DocType
collinearity,nonlinear model,remote sensing,nonlinear spectral mixture analysis,image processing,linear and nonlinear models,spectral unmixing,unmixing errors,collinearity problem,gaussian noise,accuracy,pixel,linear model,quantitative analysis,correlation
Statistical physics,Collinearity,Nonlinear system,Linear model,Image processing,Spectral line,Pixel,Statistics,Nonlinear model,Gaussian noise,Mathematics
Conference
Volume
Issue
ISSN
null
null
null
ISBN
Citations 
PageRank 
978-1-4244-8907-7
7
0.74
References 
Authors
3
4
Name
Order
Citations
PageRank
Xuehong Chen14711.12
Jin Chen225931.87
Xiuping Jia31424126.54
Jin Wu4553.79