An autonomousendmember detection technique based on lattice associative memories and statistical clustering

We present an autonomous technique for the detection and extraction of all potential endmembers from hyperspectral imagery. The proposed technique is based on the convex polyhedral model. The computation of the vertices of a minimal polyhedron is accomplished using lattice auto-associave memories as well as other lattice algebra theoretic concepts. A novel statistical data clustering algorithm is used to select final endmembers.

[1]  Gerhard X. Ritter,et al.  Chapter 4 – Lattice Algebra Approach to Endmember Determination in Hyperspectral Imagery , 2010 .

[2]  Gerhard X. Ritter,et al.  Autonomous single-pass endmember approximation using lattice auto-associative memories , 2009, Neurocomputing.

[3]  Sergios Theodoridis,et al.  Pattern Recognition , 1998, IEEE Trans. Neural Networks.

[4]  Gerhard X. Ritter,et al.  C-means Clustering of Lattice Auto-Associative Memories for Endmember Approximation , 2012, KES.

[5]  Maurice D. Craig,et al.  Minimum-volume transforms for remotely sensed data , 1994, IEEE Trans. Geosci. Remote. Sens..

[6]  Gerhard X. Ritter,et al.  A lattice matrix method for hyperspectral image unmixing , 2011, Inf. Sci..

[7]  P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .

[8]  Antonio J. Plaza,et al.  Hyperspectral Unmixing Overview: Geometrical, Statistical, and Sparse Regression-Based Approaches , 2012, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[9]  Paul D. Gader,et al.  Fixed Points of Lattice Transforms and Lattice Associative Memories , 2006 .

[10]  Chong-Yung Chi,et al.  A Convex Analysis-Based Minimum-Volume Enclosing Simplex Algorithm for Hyperspectral Unmixing , 2009, IEEE Transactions on Signal Processing.

[11]  Gerhard X. Ritter,et al.  A simple statistics-based nearest neighbor cluster detection algorithm , 2015, Pattern Recognit..

[12]  Peter Sussner,et al.  Morphological associative memories , 1998, IEEE Trans. Neural Networks.

[13]  José M. Bioucas-Dias,et al.  Vertex component analysis: a fast algorithm to unmix hyperspectral data , 2005, IEEE Transactions on Geoscience and Remote Sensing.

[14]  Chong-Yung Chi,et al.  A convex analysis-based minimum-volume enclosing simplex algorithm for hyperspectral unmixing , 2009, IEEE Trans. Signal Process..

[15]  Ali S. Hadi,et al.  Finding Groups in Data: An Introduction to Chster Analysis , 1991 .

[16]  Manuel Graña,et al.  Lattice Independence, Autoassociative Morphological Memories and unsupervised segmentation of Hyperspectral Images , 2007 .

[17]  Anil K. Jain Data clustering: 50 years beyond K-means , 2008, Pattern Recognit. Lett..

[18]  Gerhard X. Ritter,et al.  Endmember search techniques based on lattice auto-associative memories: a case on vegetation discrimination , 2009, Remote Sensing.