Spectral Unmixing of Hyperspectral Images in the Presence of Small Targets
Abstract
Generally, the content of the hyperspectral image pixel is a mixture of the reflectance spectra of the different components in the imaged scene. In this paper, we consider a linear mixing model where the pixels are linear combinations of those reflectance spectra, called endmembers, and linear coefficients corresponding to their abundances. An important issue in hyperspectral imagery consists in unmixing those pixels to retrieve the endmembers and their corresponding abundances. We consider the unmixing issue in the presence of small targets, that is, their endmembers are only contained in few pixels of the image. We introduce a thresholding method relying on Non-negative Matrix Factorization to detect pixels containing rare endmembers. We propose two resampling methods based on bootstrap for spectral unmixing of hyperspectral images to retrieve both the dominant and rare endmembers. Our experimental results on both simulated and real world data demonstrate the efficiency of the proposed method to estimate correctly all the endmembers present in hyperspectral images, in particular the rare endmembers.References
Christoph C Borel and Siegfried A. W Gerstl. Nonlinear spectral mixing models for vegetative and soil surfaces. Remote Sensing of Environment, 47(3), pp. 403–416, March 1994.
Hasmukh J Chauhan and B. Krishna Mohan. Development of Agricultural Crops Spectral Library and Classification of Crops Using Hyperion Hyperspectral Data. Journal of Remote Sensing Technology, pp. 9–12, May 2013.
Xianfeng Chen, Timothy A. Warner, David J. Campagna, Integrating visible, near-infrared and short-wave infrared hyperspectral and mul multispectral thermal imagery for geological mapping at Cuprite, Nevada, Remote Sensing of Environment, Volume 110, Issue 3, 2007, Pages 344-356..
Saeid Asadzadeh, Carlos Roberto de Souza Filho, A review on spectral processing methods for geological remote sensing, International Journal of Applied Earth Observation and Geoinformation, Vol. 47, 2016, Pages 69-90, ISSN 0303-2434
D. C. Heinz and Chein-I-Chang. Fully constrained least squares linear spectral mixture analysis method for material quantification in hyperspectral imagery. IEEE Transactions on Geoscience and Remote Sensing, 39(3), pp. 529–545, March 2001.
D. Manolakis, C. Siracusa, and G. Shaw. Hyperspectral subpixel target detection using the linear mixing model. IEEE Transactions on Geoscience and Remote Sensing, 39(7), pp. 1392–1409, July 2001.
J. M. Bioucas-Dias, A. Plaza, N. Dobigeon, M. Parente, Q. Du, P. Gader, and J. Chanussot. Hyperspectral unmixing overview: Geometrical, statistical, and sparse regression-based approaches. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 5(2), pp. 354–379, April 2012.
Nirmal Keshava and John F. Mustard. Spectral unmixing. IEEE Signal Processing Magazine, 19(1), pp. 44–57, 2002.
Joseph W. Boardman. Automating spectral unmixing of AVIRIS data using convex geometry concepts. Summaries of the 4th Annual JPL Airborne Geoscience Workshop. Volume 1: AVIRIS Workshop, Pasadena, CA; pp. 11-14, October 1993.
Michael E. Winter. N-FINDR: An algorithm for fast autonomous spectral end-member determination in hyperspectral data. Proc. SPIE 3753, Imaging Spectrometry V, Vol. 3753, pp. 266–275, 1999.
J.M.P. Nascimento and J.M. Bioucas-Dias. Vertex component analysis: a fast algorithm to unmix hyperspectral data. IEEE Transactions on Geoscience and Remote Sensing, 43(4): pp. 898–910, April 2005.
Xiping Jiang, Yu Jiang, Fang Wu, and Fenghuang Wu. Quantitative Interpretation of Mineral Hyperspectral Images Based on Principal Component Analysis and Independent Component Analysis Methods. Applied Spectroscopy, 68(4): pp. 502–509, April 2014.
J.M.P. Nascimento and J.M. Bioucas-Dias. Does independent component analysis play a role in unmixing hyperspectral data? IEEE Transactions on Geoscience and Remote Sensing, 43(1): pp. 175–187, January 2005.
Morten Arngren, Mikkel N. Schmidt, and Jan Larsen. Unmixing of Hyperspectral Images using Bayesian Non-negative Matrix Factorization with Volume Prior. Journal of Signal Processing Systems, 65(3): pp. 479–496, December 2011.
Wei Tang, Zhenwei Shi, Ying Wu, and Changshui Zhang. Sparse Unmixing of Hyperspectral Data Using Spectral A Priori Information. IEEE Transactions on Geoscience and Remote Sensing, 53(2): pp. 770–783, February 2015.
Jun Li, Jose M. Bioucas-Dias, Antonio Plaza, and Lin Liu. Robust Collaborative Nonnegative Matrix Factorization for Hyperspectral Unmixing. IEEE Transactions on Geoscience and Remote Sensing, 54(10): pp. 6076–6090, October 2016.
N. Acito, M. Diani, and G. Corsini. Hyperspectral Signal Subspace Identification in the Presence of Rare Signal Components. IEEE Transactions on Geoscience and Remote Sensing, 48(4): pp. 1940–1954, April 2010.
Abir Zidi, Julien Marot, Salah Bourennane, and Klaus Spinnler. Bio-Inspired Optimization Algorithms for Automatic Estimation of Multiple Subspace Dimensions in a Tensor-Wavelet Denoising Algorithm. Journal of Remote Sensing Technology, 4: pp. 90-114, December 2016.
N. M. Nasrabadi. Hyperspectral target detection : An overview of current and future challenges. IEEE Signal Processing Magazine, 31(1): pp. 34–44, Jan 2014.
A. M. Zoubir and D. R. Iskandler. Bootstrap methods and applications. IEEE Signal Processing Magazine, 24(4):pp. 10–19, July 2007.
S. Kawaguchi and R. Nishii. Hyperspectral Image Classification by Bootstrap AdaBoost With Random Decision Stumps. IEEE Transactions on Geoscience and Remote Sensing, 45(11): pp. 3845–3851, November 2007.
Andrzej Cichocki, Rafal Zdunek, Anh Huy Phan, and Shun-ichi Amari. Nonnegative matrix and tensor factorizations: applications to exploratory multi-way data analysis and blind source separation. John Wiley, Chichester, U.K, 2009. OCLC: ocn320432452.
Rafal Zdunek and Andrzej Cichocki. Non-negative matrix factorization with quasi-Newton optimization. In Artificial Intelligence and Soft Computing ICAISC 2006, pp. 870–879. Springer, 2006.
O. Kuybeda, D. Malah, and M. Barzohar. Rank Estimation and Redundancy Reduction of High-Dimensional Noisy Signals With Preservation of Rare Vectors. IEEE Transactions on Signal Processing, 55(12): pp. 5579–5592, December 2007.
J.M. Bioucas-Dias and J.M.P. Nascimento. Hyperspectral Subspace Identification. IEEE Transactions on Geoscience and Remote Sensing, 46(8): pp. 2435–2445, August 2008.
S. Ravel, S. Bourennane, and C. Fossati. Hyperspectral images unmixing with rare signals. In 2016 6th European Workshop on Visual Information Processing (EUVIP), pp. 1–5, October 2016.
Josselin Juan, Caroline Fossati, and Salah Bourennane. Efficient Noise Reduction Method Based on Multilinear Tools for Hyperspectral Imagery. Journal of Remote Sensing Technology, 3(2): pp. 22, 2015.
S. Sukhanov, A. Merentitis, C. Debes, J. Hahn, and A. M. Zoubir. Bootstrap-based SVM aggregation for class imbalance problems. In 2015 23rd European Signal Processing Conference (EUSIPCO), pp. 165–169, August 2015.
C. Fossati, S. Bourennane, and A. Cailly. Unmixing improvement based on bootstrap for hyperspectral imagery. In 2016 6th European Workshop on Visual Information Processing (EUVIP), pp. 1–5, October 2016.
Jingu Kim, Yunlong He, and Haesun Park. Algorithms for nonnegative matrix and tensor factorizations: a unified view based on block coordinate descent framework. Journal of Global Optimization, 58(2): pp. 285–319, February 2014.
Roger N Clark, Gregg A Swayze, Richard Wise, K Eric Livo, T Hoefen, Raymond F Kokaly, and Stephen J Sutley. USGS digital spectral library splib06a. US Geological Survey, Digital Data Series, 231, 2007.
Robert W. Basedow, Dwayne C. Carmer, and Mark E. Anderson, HYDICE system: implementation and performance, In SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics. International Society for Optics and Photonics, 12 June 1995.
Chein-I. Chang, Shao-Shan Chiang, James A. Smith, and Irving W. Ginsberg. Linear spectral random mixture analysis for hyperspectral imagery. IEEE transactions on geoscience and remote sensing, 40(2): pp. 375–392, 2002.
Copyright (c) 2018 Remote Sensing
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.