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Approximate bandpass and frequency response models of the difference of Gaussian filter
Authors:Philip Birch  Bhargav Mitra  Nagachetan M Bangalore  Saad Rehman  Rupert Young  Chris Chatwin
Institution:1. Atomic and Molecular Physics Laboratories, Research School of Physics and Engineering, The Australian National University, Canberra 0200, Australia;2. Instituto de Fisica da Universidade Federal do Rio Grande do Sul, Avenida Bento Goncalves 9500, 91501-970 Porto Alegre, RS, Brazil;1. State Key Laboratory of Organic-Inorganic Composites, Beijing University of Chemical Technology, Beijing 100029, People’s Republic of China;2. Research Center of the Ministry of Education for High Gravity Engineering and Technology, Beijing University of Chemical Technology, Beijing 100029, People’s Republic of China;1. School of Electronic Engineering and Optoelectronic Technology, Nanjing University of Science and Technology, Nanjing 210094, China;2. Institute of Electronic and Information, Jiangsu University of Science and Technology, Zhenjiang 212000, China;1. School of Optical and Electronic Information, Huazhong University of Science and Technology, Hubei 430074, China;2. National Engineering Laboratory for Next Generation Internet Access System, Wuhan, Hubei 430074, China;3. Wuhan National Laboratory for Optoelectronics, Wuhan, Hubei 430074, China;1. State Key Laboratory of Chemical Resource Engineering, Beijing University of Chemical Technology, Beijing 100029, China;2. Beijing National Laboratory for Molecular Sciences, Key Laboratory of Photochemistry, Institute of Chemistry, Chinese Academy of Sciences, Beijing 100190, China;3. Key Laboratory of Inorganic–Organic Hybrid Functional Material Chemistry, Ministry of Education, Tianjin Key Laboratory of Structure and Performance for Functional Molecules, College of Chemistry, Tianjin Normal University, Tianjin 300387, China
Abstract:The Difference of Gaussian (DOG) filter is widely used in optics and image processing as, among other things, an edge detection and correlation filter. It has important biological applications and appears to be part of the mammalian vision system. In this paper we analyse the filter and provide details of the full width half maximum, bandwidth and frequency response in order to aid the full characterisation of its performance.
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