Efficient and accurate computation of geometric moments on gray-scale images |
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Authors: | G.A. Papakostas E.G. Karakasis D.E. Koulouriotis |
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Affiliation: | 1. Department of Electrical and Computer Engineering, Democritus University of Thrace, 67100 Xanthi, Hellas;2. Department of Production Engineering and Management, Democritus University of Thrace, 67100 Xanthi, Hellas;1. State Key Laboratory for Novel Software Technology, Nanjing University, Nanjing 210093, China;2. Jin-Ling College, Nanjing University, Nanjing 210089, China;1. HUMAIN-Lab, Department of Computer and Informatics Engineering, Eastern Macedonia and Thrace Institute of Technology, St. Lukas, 65404 Kavala, Greece;2. Department of Information Technology, TEI of Thessaloniki, Sindos 57400, Greece;3. Department of Economics, Democritus University of Thrace, 69100 Komotini, Greece;1. Department of Computer Science and Engineering, Faculty of Electronic Engineering, Menoufia University, Menouf 32952, Egypt;2. Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-kom, Egypt;3. Department of Information Technology, College of Computers and Information Technology, Taif University, Al-Hawiya 21974, Saudi Arabia;1. Key Laboratory of Molecular Medicine and Biotherapy, School of Life Science, Beijing Institute of Technology, Beijing 100081, China;2. Advanced Research Institute of Multidisciplinary Science, Beijing Institute of Technology, Beijing 100081, China;3. National Chromatographic Research and Analysis Center Dalian Institute of Chemical Physics, Chinese Academy of Science, Dalian 116011, China;1. Lomonosov Moscow State University, School of Biology, Department of Plant Physiology, Leninskiye Gory 1-12, Moscow, 119991, Russia;2. Pirogov Russian National Research Medical University, Ostrovitjanova Street 1, Moscow, 117997, Russia |
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Abstract: | A novel algorithm that permits the fast and accurate computation of geometric moments on gray-scale images is presented in this paper. The proposed algorithm constitutes an extension of the IBR algorithm, introduced in the past, which was applicable only for binary images. A new image representation scheme, the ISR (intensity slice representation), which represents a gray-scale image as an expansion of several two-level images of different intensity values, enables the partially application of the IBR algorithm to each image component. Moreover, using the resulted set of image blocks, the geometric moments’ computation can be accelerated through appropriate computation schemes. |
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