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A Unified Methodology for Computing Accurate Quaternion Color Moments and Moment Invariants | IEEE Journals & Magazine | IEEE Xplore

A Unified Methodology for Computing Accurate Quaternion Color Moments and Moment Invariants


Abstract:

In this paper, a general framework for computing accurate quaternion color moments and their corresponding invariants is proposed. The proposed unified scheme arose by st...Show More

Abstract:

In this paper, a general framework for computing accurate quaternion color moments and their corresponding invariants is proposed. The proposed unified scheme arose by studying the characteristics of different orthogonal polynomials. These polynomials are used as kernels in order to form moments, the invariants of which can easily be derived. The resulted scheme permits the usage of any polynomial-like kernel in a unified and consistent way. The resulted moments and moment invariants demonstrate robustness to noisy conditions and high discriminative power. Additionally, in the case of continuous moments, accurate computations take place to avoid approximation errors. Based on this general methodology, the quaternion Tchebichef, Krawtchouk, Dual Hahn, Legendre, orthogonal Fourier-Mellin, pseudo Zernike and Zernike color moments, and their corresponding invariants are introduced. A selected paradigm presents the reconstruction capability of each moment family, whereas proper classification scenarios evaluate the performance of color moment invariants.
Published in: IEEE Transactions on Image Processing ( Volume: 23, Issue: 2, February 2014)
Page(s): 596 - 611
Date of Publication: 07 November 2013

ISSN Information:

PubMed ID: 24216719
Author image of Evangelos G. Karakasis
Department of Production and Management Engineering, Democritus University of Thrace, Xanthi, Greece
Evangelos G. Karakasis received the Diploma degree in production and management engineering in 2005, and the Ph.D. degree from the Democritus University of Thrace, Xanthi, Greece, in 2013.
His current research interests include computer vision, image analysis, pattern recognition, and special functions.
Evangelos G. Karakasis received the Diploma degree in production and management engineering in 2005, and the Ph.D. degree from the Democritus University of Thrace, Xanthi, Greece, in 2013.
His current research interests include computer vision, image analysis, pattern recognition, and special functions.View more
Author image of George A. Papakostas
Department of Computer and Informatics Engineering, Human Machines Interaction Laboratory, Kavala, Greece
George A. Papakostas received the Diploma degree in electrical and computer engineering in 1999 and the M.Sc. and Ph.D. degrees in electrical and computer engineering in 2002 and 2007, respectively, from the Democritus University of Thrace (DUTH), Greece. From 2007 to 2010, he served as an Adjunct Lecturer with the Department of Production Engineering and Management, DUTH. He currently serves as an Adjunct Assistant Profe...Show More
George A. Papakostas received the Diploma degree in electrical and computer engineering in 1999 and the M.Sc. and Ph.D. degrees in electrical and computer engineering in 2002 and 2007, respectively, from the Democritus University of Thrace (DUTH), Greece. From 2007 to 2010, he served as an Adjunct Lecturer with the Department of Production Engineering and Management, DUTH. He currently serves as an Adjunct Assistant Profe...View more
Author image of Dimitrios E. Koulouriotis
Department of Production and Management Engineering, Democritus University of Thrace, Xanthi, Greece
Dimitrios E. Koulouriotis received the Ph.D. degree in intelligent systems from the Department of Production and Management Engineering, Technical University of Crete, Greece, in 2001. He received the Diploma degree in electrical and computer engineering from the Democritus University of Thrace and the M.S. degree in electronic and computer engineering from the Technical University of Crete, in 1993 and 1996, respectively...Show More
Dimitrios E. Koulouriotis received the Ph.D. degree in intelligent systems from the Department of Production and Management Engineering, Technical University of Crete, Greece, in 2001. He received the Diploma degree in electrical and computer engineering from the Democritus University of Thrace and the M.S. degree in electronic and computer engineering from the Technical University of Crete, in 1993 and 1996, respectively...View more
Author image of Vassilios D. Tourassis
Department of Robotics, School of Science and Technology, Nazarbayev University, Astana, Republic of Kazakhstan
Vassilios D. Tourassis is a Professor and Chair of robotics with the School of Science and Technology, Nazarbayev University, Astana, Kazakhstan. He received the 5-year combined B.S. and M.S. degrees in electrical engineering from the Aristotle University of Thessaloniki and the M.S. and Ph.D. degrees from Carnegie-Mellon University. Before joining Nazarbayev University, he was a Research Fellow at the Carnegie-Mellon's R...Show More
Vassilios D. Tourassis is a Professor and Chair of robotics with the School of Science and Technology, Nazarbayev University, Astana, Kazakhstan. He received the 5-year combined B.S. and M.S. degrees in electrical engineering from the Aristotle University of Thessaloniki and the M.S. and Ph.D. degrees from Carnegie-Mellon University. Before joining Nazarbayev University, he was a Research Fellow at the Carnegie-Mellon's R...View more

Author image of Evangelos G. Karakasis
Department of Production and Management Engineering, Democritus University of Thrace, Xanthi, Greece
Evangelos G. Karakasis received the Diploma degree in production and management engineering in 2005, and the Ph.D. degree from the Democritus University of Thrace, Xanthi, Greece, in 2013.
His current research interests include computer vision, image analysis, pattern recognition, and special functions.
Evangelos G. Karakasis received the Diploma degree in production and management engineering in 2005, and the Ph.D. degree from the Democritus University of Thrace, Xanthi, Greece, in 2013.
His current research interests include computer vision, image analysis, pattern recognition, and special functions.View more
Author image of George A. Papakostas
Department of Computer and Informatics Engineering, Human Machines Interaction Laboratory, Kavala, Greece
George A. Papakostas received the Diploma degree in electrical and computer engineering in 1999 and the M.Sc. and Ph.D. degrees in electrical and computer engineering in 2002 and 2007, respectively, from the Democritus University of Thrace (DUTH), Greece. From 2007 to 2010, he served as an Adjunct Lecturer with the Department of Production Engineering and Management, DUTH. He currently serves as an Adjunct Assistant Professor with the Department of Computer and Informatics Engineering, Technological Educational Institution, Eastern Macedonia and Thrace, Greece. In 2012, he was elected as a full Professor in the aforementioned Department of Computer and Informatics Engineering. He has co-authored more than 70 publications in indexed journals, international conferences, and book chapters. His research interests include pattern recognition, computer/machine vision, computational intelligence, machine learning, feature extraction, evolutionary optimization, and signal and image processing. He served as a reviewer in numerous journals and conferences and he is a member of the IAENG, MIR Labs, EUCogIII, and the Technical Chamber of Greece.
George A. Papakostas received the Diploma degree in electrical and computer engineering in 1999 and the M.Sc. and Ph.D. degrees in electrical and computer engineering in 2002 and 2007, respectively, from the Democritus University of Thrace (DUTH), Greece. From 2007 to 2010, he served as an Adjunct Lecturer with the Department of Production Engineering and Management, DUTH. He currently serves as an Adjunct Assistant Professor with the Department of Computer and Informatics Engineering, Technological Educational Institution, Eastern Macedonia and Thrace, Greece. In 2012, he was elected as a full Professor in the aforementioned Department of Computer and Informatics Engineering. He has co-authored more than 70 publications in indexed journals, international conferences, and book chapters. His research interests include pattern recognition, computer/machine vision, computational intelligence, machine learning, feature extraction, evolutionary optimization, and signal and image processing. He served as a reviewer in numerous journals and conferences and he is a member of the IAENG, MIR Labs, EUCogIII, and the Technical Chamber of Greece.View more
Author image of Dimitrios E. Koulouriotis
Department of Production and Management Engineering, Democritus University of Thrace, Xanthi, Greece
Dimitrios E. Koulouriotis received the Ph.D. degree in intelligent systems from the Department of Production and Management Engineering, Technical University of Crete, Greece, in 2001. He received the Diploma degree in electrical and computer engineering from the Democritus University of Thrace and the M.S. degree in electronic and computer engineering from the Technical University of Crete, in 1993 and 1996, respectively. He is currently with the Department of Production and Management Engineering, Democritus University of Thrace, as an Associate Professor. His research interests include computational intelligence, machine learning and pattern recognition and their applications in vision, image and signal processing, robotics, and industrial engineering. He has published over 150 research papers, and he served as a chair, board member, and reviewer to several of scientific journals and conferences.
Dimitrios E. Koulouriotis received the Ph.D. degree in intelligent systems from the Department of Production and Management Engineering, Technical University of Crete, Greece, in 2001. He received the Diploma degree in electrical and computer engineering from the Democritus University of Thrace and the M.S. degree in electronic and computer engineering from the Technical University of Crete, in 1993 and 1996, respectively. He is currently with the Department of Production and Management Engineering, Democritus University of Thrace, as an Associate Professor. His research interests include computational intelligence, machine learning and pattern recognition and their applications in vision, image and signal processing, robotics, and industrial engineering. He has published over 150 research papers, and he served as a chair, board member, and reviewer to several of scientific journals and conferences.View more
Author image of Vassilios D. Tourassis
Department of Robotics, School of Science and Technology, Nazarbayev University, Astana, Republic of Kazakhstan
Vassilios D. Tourassis is a Professor and Chair of robotics with the School of Science and Technology, Nazarbayev University, Astana, Kazakhstan. He received the 5-year combined B.S. and M.S. degrees in electrical engineering from the Aristotle University of Thessaloniki and the M.S. and Ph.D. degrees from Carnegie-Mellon University. Before joining Nazarbayev University, he was a Research Fellow at the Carnegie-Mellon's Robotics Institute, a tenured Professor at the University of Rochester, New York, USA, and most recently the Vice Rector for development and research at the Democritus University of Thrace, Greece. His current research interests include issues in mechatronics, industrial ecology, and management of innovation. He is a Senior Member of the Society of Manufacturing Engineers, an invited expert of the Asia-Europe Foundation's Education Hub and a Governing Board Member of the OECD Directorate for Education Program on Institutional Management in Higher Education.
Vassilios D. Tourassis is a Professor and Chair of robotics with the School of Science and Technology, Nazarbayev University, Astana, Kazakhstan. He received the 5-year combined B.S. and M.S. degrees in electrical engineering from the Aristotle University of Thessaloniki and the M.S. and Ph.D. degrees from Carnegie-Mellon University. Before joining Nazarbayev University, he was a Research Fellow at the Carnegie-Mellon's Robotics Institute, a tenured Professor at the University of Rochester, New York, USA, and most recently the Vice Rector for development and research at the Democritus University of Thrace, Greece. His current research interests include issues in mechatronics, industrial ecology, and management of innovation. He is a Senior Member of the Society of Manufacturing Engineers, an invited expert of the Asia-Europe Foundation's Education Hub and a Governing Board Member of the OECD Directorate for Education Program on Institutional Management in Higher Education.View more
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