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Automatic leukocyte nucleus segmentation by intuitionistic fuzzy divergence based thresholding
Affiliation:1. Department of Electronics &Telecommunication Engineering, Jadavpur University, Kolkata, India;2. School of Medical Science & Technology, IIT Kharagpur, West Bengal, India;3. Department of Math and Computer Science, Liverpool Hope University, Liverpool, UK;1. Electrical Engineering Department, College of Engineering Trivandrum, Kerala, India;2. Electrical & Electronics Department, T. K. M College of Engineering, Kollam, Kerala, India;3. Department of Computer Science, University of Kerala, Kariavattom, Thiruvananthapuram, Kerala, India;4. Electrical Engineering Department, College of Engineering Trivandrum, Kerala, India;1. Department of Mathematics, Colorado State University, 841 Oval Drive, Fort Collins, CO 80523, United States;2. The Scripps Clinic, Department of Pathology, 10666 N Torrey Pines Road, La Jolla, CA 92037, United States;3. The Scripps Research Institute, The Kuhn Lab, 10550 N Torrey Pines Road, La Jolla, CA 92037, United States;4. DigitalGlobe, Image Mining Group, 1601 Dry Creek Drive, Longmont, CO 80503, United States;5. Department of Aerospace and Mechanical Engineering, University of Southern California Viterbi School of Engineering, Los Angeles, CA 90089, United States;6. The Kuhn Lab, Department of Biological Sciences, University of Southern California, Los Angeles, CA 90089, United States;1. Laboratorio de Hematobiología, Escuela Nacional de Medicina y Homeopatía (ENMH), Instituto Politécnico Nacional (IPN), Mexico City, Mexico;2. Departamento de Genética y Biología Molecular, Centro de Investigación y de Estudios Avanzados del IPN (Cinvestav-IPN), Mexico City, Mexico;3. Department of Biomedical Science, University of Sheffield, Sheffield, UK;1. Service de Néphrologie et Transplantation, Hôpital Henri Mondor, Centre de référence maladie rare Syndrome Néphrotique Idiopathique, Institut Francilien de recherche en Néphrologie et Transplantation (IFRNT), INSERM U955, Université Paris Est Créteil, APHP (Assistance Publique–Hôpitaux de Paris, Créteil), Créteil, France;2. Université Paris Descartes, INSERM UMR-S 775, APHP, Hôpital Européen Georges Pompidou, Service de Biochimie, Unité Fonctionnelle de Pharmacogénétique et Oncologie Moléculaire, Paris, France;3. INSERM U983, Hôpital Necker-Enfants Malades, Paris, France;4. Université Paris Descartes, Sorbonne Paris Cité, Institut Imagine, Paris, France;1. CEA, DEN, DTEC, Marcoule, 30207, Bagnols-sur-Cèze, France;2. CEA, DEN, DEC, Cadarache, 13108, Saint-Paul-lez-Durance, France;3. Univ. Grenoble Alpes, SIMAP, F-38000, Grenoble, France;4. CNRS, Grenoble INP, SIMAP, F-38000, Grenoble, France
Abstract:The paper proposes a robust approach to automatic segmentation of leukocyte's nucleus from microscopic blood smear images under normal as well as noisy environment by employing a new exponential intuitionistic fuzzy divergence based thresholding technique. The algorithm minimizes the divergence between the actual image and the ideally thresholded image to search for the final threshold. A new divergence formula based on exponential intuitionistic fuzzy entropy has been proposed. Further, to increase its noise handling capacity, a neighborhood-based membership function for the image pixels has been designed. The proposed scheme has been applied on 110 normal and 54 leukemia (chronic myelogenous leukemia) affected blood samples. The nucleus segmentation results have been validated by three expert hematologists. The algorithm achieves an average segmentation accuracy of 98.52% in noise-free environment. It beats the competitor algorithms in terms of several other metrics. The proposed scheme with neighborhood based membership function outperforms the competitor algorithms in terms of segmentation accuracy under noisy environment. It achieves 93.90% and 94.93% accuracies for Speckle and Gaussian noises, respectively. The average area under the ROC curves comes out to be 0.9514 in noisy conditions, which proves the robustness of the proposed algorithm.
Keywords:Leukocyte nucleus segmentation  Intuitionistic fuzzy set (IFS)  Intuitionistic fuzzy divergence (IFD)  Membership function  Non-membership function  Intuitionistic fuzzy generator (IFG)
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