Simultaneously Sparse and Low-Rank Abundance Matrix Estimation for Hyperspectral Image Unmixing | IEEE Journals & Magazine | IEEE Xplore

Simultaneously Sparse and Low-Rank Abundance Matrix Estimation for Hyperspectral Image Unmixing


Abstract:

In a plethora of applications dealing with inverse problems, e.g., image processing, social networks, compressive sensing, and biological data processing, the signal of i...Show More

Abstract:

In a plethora of applications dealing with inverse problems, e.g., image processing, social networks, compressive sensing, and biological data processing, the signal of interest is known to be structured in several ways at the same time. This premise has recently guided research into the innovative and meaningful idea of imposing multiple constraints on the unknown parameters involved in the problem under study. For instance, when dealing with problems whose unknown parameters form sparse and low-rank matrices, the adoption of suitably combined constraints imposing sparsity and low rankness is expected to yield substantially enhanced estimation results. In this paper, we address the spectral unmixing problem in hyperspectral images. Specifically, two novel unmixing algorithms are introduced in an attempt to exploit both spatial correlation and sparse representation of pixels lying in the homogeneous regions of hyperspectral images. To this end, a novel mixed penalty term is first defined consisting of the sum of the weighted ℓ1 and the weighted nuclear norm of the abundance matrix corresponding to a small area of the image determined by a sliding square window. This penalty term is then used to regularize a conventional quadratic cost function and impose simultaneous sparsity and low rankness on the abundance matrix. The resulting regularized cost function is minimized by: 1) an incremental proximal sparse and low-rank unmixing algorithm; and 2) an algorithm based on the alternating direction method of multipliers. The effectiveness of the proposed algorithms is illustrated in experiments conducted both on simulated and real data.
Published in: IEEE Transactions on Geoscience and Remote Sensing ( Volume: 54, Issue: 8, August 2016)
Page(s): 4775 - 4789
Date of Publication: 27 April 2016

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Author image of Paris V. Giampouras
Department of Informatics and Telecommunications, National Observatory of Athens, Athens, Greece
Paris V. Giampouras was born in Athens, Greece, in 1986. He received the Diploma degree in electrical and computer engineering from the National Technical University of Athens, Athens, in 2011 and the M.Sc. degree in information technologies in medicine and biology from the University of Athens, Athens, in 2014, where he is currently working toward the Ph.D. degree.
His main research interests include signal processing and...Show More
Paris V. Giampouras was born in Athens, Greece, in 1986. He received the Diploma degree in electrical and computer engineering from the National Technical University of Athens, Athens, in 2011 and the M.Sc. degree in information technologies in medicine and biology from the University of Athens, Athens, in 2014, where he is currently working toward the Ph.D. degree.
His main research interests include signal processing and...View more
Author image of Konstantinos E. Themelis
Institute for Astronomy, Astrophysics, Space Applications and Remote Sensing (IAASARS), National Observatory of Athens, Athens, Greece
Konstantinos E. Themelis was born in Piraeus, Greece, in 1981. He received the Diploma degree in computer engineering and informatics from the University of Patras, Patras, Greece, in 2005 and the Ph.D. degree in signal processing from the University of Athens, Athens, Greece, in 2012.
Since 2012, he has been a Postdoctoral Research Associate with the Institute for Astronomy, Astrophysics, Space Applications and Remote Sen...Show More
Konstantinos E. Themelis was born in Piraeus, Greece, in 1981. He received the Diploma degree in computer engineering and informatics from the University of Patras, Patras, Greece, in 2005 and the Ph.D. degree in signal processing from the University of Athens, Athens, Greece, in 2012.
Since 2012, he has been a Postdoctoral Research Associate with the Institute for Astronomy, Astrophysics, Space Applications and Remote Sen...View more
Author image of Athanasios A. Rontogiannis
Institute for Astronomy, Astrophysics, Space Applications and Remote Sensing (IAASARS), National Observatory of Athens, Athens, Greece
Athanasios A. Rontogiannis (M'97) was born in Lefkada Island, Greece, in 1968. He received the Diploma degree in electrical engineering from the National Technical University of Athens, Athens, Greece, in 1991; the M.A.Sc. degree in electrical and computer engineering from the University of Victoria, Victoria, BC, Canada, in 1993; and the Ph.D. degree in communications and signal processing from the University of Athens, ...Show More
Athanasios A. Rontogiannis (M'97) was born in Lefkada Island, Greece, in 1968. He received the Diploma degree in electrical engineering from the National Technical University of Athens, Athens, Greece, in 1991; the M.A.Sc. degree in electrical and computer engineering from the University of Victoria, Victoria, BC, Canada, in 1993; and the Ph.D. degree in communications and signal processing from the University of Athens, ...View more
Author image of Konstantinos D. Koutroumbas
Institute for Astronomy, Astrophysics, Space Applications and Remote Sensing (IAASARS), National Observatory of Athens, Athens, Greece
Konstantinos D. Koutroumbas received the Diploma degree from the University of Patras, Patras, Greece, in 1989; the M.Sc. degree in advanced methods in computer science from the Queen Mary College of the University of London, London, U.K., in 1990; and the Ph.D. degree from the University of Athens, Athens, Greece, in 1995.
Since 2001, he has been with the Institute for Astronomy, Astrophysics, Space Applications and Remot...Show More
Konstantinos D. Koutroumbas received the Diploma degree from the University of Patras, Patras, Greece, in 1989; the M.Sc. degree in advanced methods in computer science from the Queen Mary College of the University of London, London, U.K., in 1990; and the Ph.D. degree from the University of Athens, Athens, Greece, in 1995.
Since 2001, he has been with the Institute for Astronomy, Astrophysics, Space Applications and Remot...View more

Author image of Paris V. Giampouras
Department of Informatics and Telecommunications, National Observatory of Athens, Athens, Greece
Paris V. Giampouras was born in Athens, Greece, in 1986. He received the Diploma degree in electrical and computer engineering from the National Technical University of Athens, Athens, in 2011 and the M.Sc. degree in information technologies in medicine and biology from the University of Athens, Athens, in 2014, where he is currently working toward the Ph.D. degree.
His main research interests include signal processing and machine learning with applications to the processing of hyperspectral images and other kinds of large-scale data sets.
Paris V. Giampouras was born in Athens, Greece, in 1986. He received the Diploma degree in electrical and computer engineering from the National Technical University of Athens, Athens, in 2011 and the M.Sc. degree in information technologies in medicine and biology from the University of Athens, Athens, in 2014, where he is currently working toward the Ph.D. degree.
His main research interests include signal processing and machine learning with applications to the processing of hyperspectral images and other kinds of large-scale data sets.View more
Author image of Konstantinos E. Themelis
Institute for Astronomy, Astrophysics, Space Applications and Remote Sensing (IAASARS), National Observatory of Athens, Athens, Greece
Konstantinos E. Themelis was born in Piraeus, Greece, in 1981. He received the Diploma degree in computer engineering and informatics from the University of Patras, Patras, Greece, in 2005 and the Ph.D. degree in signal processing from the University of Athens, Athens, Greece, in 2012.
Since 2012, he has been a Postdoctoral Research Associate with the Institute for Astronomy, Astrophysics, Space Applications and Remote Sensing, National Observatory of Athens, Athens. His research interests include statistical signal processing and probabilistic machine learning with application to image processing.
Dr. Themelis is a member of the Technical Chamber of Greece.
Konstantinos E. Themelis was born in Piraeus, Greece, in 1981. He received the Diploma degree in computer engineering and informatics from the University of Patras, Patras, Greece, in 2005 and the Ph.D. degree in signal processing from the University of Athens, Athens, Greece, in 2012.
Since 2012, he has been a Postdoctoral Research Associate with the Institute for Astronomy, Astrophysics, Space Applications and Remote Sensing, National Observatory of Athens, Athens. His research interests include statistical signal processing and probabilistic machine learning with application to image processing.
Dr. Themelis is a member of the Technical Chamber of Greece.View more
Author image of Athanasios A. Rontogiannis
Institute for Astronomy, Astrophysics, Space Applications and Remote Sensing (IAASARS), National Observatory of Athens, Athens, Greece
Athanasios A. Rontogiannis (M'97) was born in Lefkada Island, Greece, in 1968. He received the Diploma degree in electrical engineering from the National Technical University of Athens, Athens, Greece, in 1991; the M.A.Sc. degree in electrical and computer engineering from the University of Victoria, Victoria, BC, Canada, in 1993; and the Ph.D. degree in communications and signal processing from the University of Athens, Athens, in 1997.
From 1998 to 2003, he was with the University of Ioannina, Ionnina, Greece. In 2003, he joined the Institute for Astronomy, Astrophysics, Space Applications and Remote Sensing, National Observatory of Athens, Athens, where he has been a Senior Researcher since 2011. His research interests are in the general areas of statistical signal processing and wireless communications, with emphasis on adaptive estimation, hyperspectral image processing, Bayesian compressive sensing, channel estimation/equalization, and cooperative communications.
Dr. Rontogiannis has been on the Editorial Board of Springer's EURASIP Journal on Advances in Signal Processing since 2008 and Elsevier's EURASIP Signal Processing Journal since 2011. He is a member of the IEEE Signal Processing and Communication Societies and the Technical Chamber of Greece.
Athanasios A. Rontogiannis (M'97) was born in Lefkada Island, Greece, in 1968. He received the Diploma degree in electrical engineering from the National Technical University of Athens, Athens, Greece, in 1991; the M.A.Sc. degree in electrical and computer engineering from the University of Victoria, Victoria, BC, Canada, in 1993; and the Ph.D. degree in communications and signal processing from the University of Athens, Athens, in 1997.
From 1998 to 2003, he was with the University of Ioannina, Ionnina, Greece. In 2003, he joined the Institute for Astronomy, Astrophysics, Space Applications and Remote Sensing, National Observatory of Athens, Athens, where he has been a Senior Researcher since 2011. His research interests are in the general areas of statistical signal processing and wireless communications, with emphasis on adaptive estimation, hyperspectral image processing, Bayesian compressive sensing, channel estimation/equalization, and cooperative communications.
Dr. Rontogiannis has been on the Editorial Board of Springer's EURASIP Journal on Advances in Signal Processing since 2008 and Elsevier's EURASIP Signal Processing Journal since 2011. He is a member of the IEEE Signal Processing and Communication Societies and the Technical Chamber of Greece.View more
Author image of Konstantinos D. Koutroumbas
Institute for Astronomy, Astrophysics, Space Applications and Remote Sensing (IAASARS), National Observatory of Athens, Athens, Greece
Konstantinos D. Koutroumbas received the Diploma degree from the University of Patras, Patras, Greece, in 1989; the M.Sc. degree in advanced methods in computer science from the Queen Mary College of the University of London, London, U.K., in 1990; and the Ph.D. degree from the University of Athens, Athens, Greece, in 1995.
Since 2001, he has been with the Institute for Astronomy, Astrophysics, Space Applications and Remote Sensing, National Observatory of Athens, Athens, where he is currently a Senior Researcher. He is a coauthor of the books Pattern Recognition (1st, 2nd, 3rd, and 4th editions) and Introduction to Pattern Recognition: A MATLAB Approach. He has over 2500 citations in his work. His research interests include pattern recognition, time-series estimation, and their applications to remote sensing and the estimation of characteristic quantities of the upper atmosphere.
Konstantinos D. Koutroumbas received the Diploma degree from the University of Patras, Patras, Greece, in 1989; the M.Sc. degree in advanced methods in computer science from the Queen Mary College of the University of London, London, U.K., in 1990; and the Ph.D. degree from the University of Athens, Athens, Greece, in 1995.
Since 2001, he has been with the Institute for Astronomy, Astrophysics, Space Applications and Remote Sensing, National Observatory of Athens, Athens, where he is currently a Senior Researcher. He is a coauthor of the books Pattern Recognition (1st, 2nd, 3rd, and 4th editions) and Introduction to Pattern Recognition: A MATLAB Approach. He has over 2500 citations in his work. His research interests include pattern recognition, time-series estimation, and their applications to remote sensing and the estimation of characteristic quantities of the upper atmosphere.View more

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