Title
Hyperspectral Image Unmixing Using a Multiresolution Sticky HDP
Abstract
This paper is concerned with joint Bayesian endmember extraction and linear unmixing of hyperspectral images using a spatial prior on the abundance vectors. We propose a generative model for hyperspectral images in which the abundances are sampled from a Dirichlet distribution (DD) mixture model, whose parameters depend on a latent label process. The label process is then used to enforces a spatial prior which encourages adjacent pixels to have the same label. A Gibbs sampling framework is used to generate samples from the posterior distributions of the abundances and the parameters of the DD mixture model. The spatial prior that is used is a tree-structured sticky hierarchical Dirichlet process (SHDP) and, when used to determine the posterior endmember and abundance distributions, results in a new unmixing algorithm called spatially constrained unmixing (SCU). The directed Markov model facilitates the use of scale-recursive estimation algorithms, and is therefore more computationally efficient as compared to standard Markov random field (MRF) models. Furthermore, the proposed SCU algorithm estimates the number of regions in the image in an unsupervised fashion. The effectiveness of the proposed SCU algorithm is illustrated using synthetic and real data.
Year
DOI
Venue
2012
10.1109/TSP.2011.2180718
IEEE Transactions on Signal Processing
Keywords
Field
DocType
bayesian inference,hidden markov models,spatial resolution,posterior distribution,hyperspectral imaging,vectors,signal processing,mixture model,tree structure,hidden markov model,image segmentation,generative model,gibbs sampling,markov process,hierarchical dirichlet process,dirichlet distribution,markov processes,markov model,image resolution
Hierarchical Dirichlet process,Endmember,Pattern recognition,Markov model,Markov random field,Artificial intelligence,Dirichlet distribution,Hidden Markov model,Mathematics,Gibbs sampling,Mixture model
Journal
Volume
Issue
ISSN
60
4
1053-587X
Citations 
PageRank 
References 
12
0.67
16
Authors
3
Name
Order
Citations
PageRank
Roni Mittelman1121.69
Nicolas Dobigeon22070108.02
Alfred O. Hero III32600301.12