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An Information Theory framework for two-stage binary image operator design
Authors:Carlos S Santos  Nina ST Hirata  Roberto Hirata
Affiliation:1. CIFASIS, French Argentine International Center for Information and Systems Sciences, UAM (France)/UNR-CONICET (Argentina), Bv. 27 de Febrero 210 Bis, 2000 Rosario, Argentina;2. Instituto PLADEMA, Universidad Nacional del Centro, Tandil, Argentina;3. Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina;4. Comisión de Investigaciones Científicas de la Prov. de Buenos Aires (CIC-PBA), Argentina;5. Comisión Nacional de Energía Atómica (CNEA), Argentina;1. School of Materials Science and Engineering, Beihang University, Beijing, 100191, PR China;2. Patent Examination Cooperation Center of the Patent Office, SIPO, Beijing, 100083, PR China;1. Surgery Division, Luigi Sacco Hospital, Via G. B. Grassi 74, Milan 20157, Italy;2. Department of Biomedical and Clinical Sciences “L. Sacco”, University of Milan, Milan 20157, Italy;3. Radiology Division, Luigi Sacco Hospital, Via G. B. Grassi 74, Milan 20157, Italy;4. Pathology Division, Luigi Sacco Hospital, Via G. B. Grassi 74, Milan 20157, Italy;5. Centro Studi Epidemiologia e Medicina Preventiva, Department of Clinical and Experimental Medicine, Insubria University, Varese, Italy;1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China;2. School of Mathematics and Physics, Anshun University, Anshun, Guizhou 561000, China
Abstract:The design of translation invariant and locally defined binary image operators over large windows is made difficult by decreased statistical precision and increased training time. We present a complete framework for the application of stacked design, a recently proposed technique to create two-stage operators that circumvents that difficulty. We propose a novel algorithm, based on Information Theory, to find groups of pixels that should be used together to predict the output value. We employ this algorithm to automate the process of creating a set of first-level operators that are later combined in a global operator. We also propose a principled way to guide this combination, by using feature selection and model comparison. Experimental results show that the proposed framework leads to better results than single stage design.
Keywords:
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