{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,16]],"date-time":"2026-05-16T03:28:05Z","timestamp":1778902085506,"version":"3.51.4"},"reference-count":81,"publisher":"Springer Science and Business Media LLC","issue":"9","license":[{"start":{"date-parts":[[2018,10,6]],"date-time":"2018-10-06T00:00:00Z","timestamp":1538784000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2020,5]]},"DOI":"10.1007\/s00521-018-3771-z","type":"journal-article","created":{"date-parts":[[2018,10,6]],"date-time":"2018-10-06T15:13:02Z","timestamp":1538838782000},"page":"4583-4613","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":83,"title":["A novel beta differential evolution algorithm-based fast multilevel thresholding for color image segmentation"],"prefix":"10.1007","volume":"32","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9842-8125","authenticated-orcid":false,"given":"Ashish Kumar","family":"Bhandari","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,10,6]]},"reference":[{"key":"3771_CR1","doi-asserted-by":"crossref","first-page":"1285","DOI":"10.1007\/s00521-016-2645-5","volume":"29","author":"SC Satapathy","year":"2016","unstructured":"Satapathy SC, Raja NSM, Rajinikanth V, Ashour AS, Dey N (2016) Multi-level image thresholding using Otsu and chaotic bat algorithm. Neural Comput Appl 29:1285\u20131307","journal-title":"Neural Comput Appl"},{"issue":"22","key":"3771_CR2","doi-asserted-by":"crossref","first-page":"8707","DOI":"10.1016\/j.eswa.2015.07.025","volume":"42","author":"AK Bhandari","year":"2015","unstructured":"Bhandari AK, Kumar A, Singh GK (2015) Tsallis entropy based multilevel thresholding for colored satellite image segmentation using evolutionary algorithms. Expert Syst Appl 42(22):8707\u20138730","journal-title":"Expert Syst Appl"},{"issue":"5","key":"3771_CR3","doi-asserted-by":"crossref","first-page":"1793","DOI":"10.1007\/s00500-015-1677-6","volume":"20","author":"C Mala","year":"2015","unstructured":"Mala C, Sridevi M (2015) Multilevel threshold selection for image segmentation using soft computing techniques. Soft Comput 20(5):1793\u20131810","journal-title":"Soft Comput"},{"key":"3771_CR4","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1016\/j.eswa.2017.06.021","volume":"87","author":"S Pare","year":"2017","unstructured":"Pare S, Bhandari AK, Kumar A, Singh GK (2017) An optimal color image multilevel thresholding technique using grey-level co-occurrence matrix. Expert Syst Appl 87:335\u2013362","journal-title":"Expert Syst Appl"},{"key":"3771_CR5","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1007\/978-981-13-0923-6_7","volume-title":"Machine intelligence and signal analysis","author":"S Pare","year":"2019","unstructured":"Pare S, Bhandari AK, Kumar A, Singh GK (2019) R\u00e9nyi\u2019s entropy and Bat algorithm based color image multilevel thresholding. In: Tanveer M, Pachori R (eds) Machine intelligence and signal analysis. Springer, Singapore, pp 71\u201384"},{"key":"3771_CR6","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1016\/j.ins.2015.10.018","volume":"330","author":"S Banerjee","year":"2016","unstructured":"Banerjee S, Mitra S, Shankar BU (2016) Single seed delineation of brain tumor using multi-thresholding. Inf Sci 330:88\u2013103","journal-title":"Inf Sci"},{"issue":"4","key":"3771_CR7","doi-asserted-by":"crossref","first-page":"304","DOI":"10.1016\/j.compmedimag.2008.01.006","volume":"32","author":"AR Dominguez","year":"2008","unstructured":"Dominguez AR, Nandi AK (2008) Detection of masses in mammograms via statistically based enhancement, multilevel-thresholding segmentation, and region selection. Comput Med Imaging Graph\u00a032(4):304\u2013315","journal-title":"Comput Med Imaging Graph"},{"key":"3771_CR8","doi-asserted-by":"crossref","first-page":"558","DOI":"10.1016\/j.measurement.2013.09.031","volume":"47","author":"S Manikandan","year":"2014","unstructured":"Manikandan S, Ramar K, Iruthayarajan MW, Srinivasagan KG (2014) Multilevel thresholding for segmentation of medical brain images using real coded genetic algorithm. Measurement 47:558\u2013568","journal-title":"Measurement"},{"issue":"7","key":"3771_CR9","doi-asserted-by":"crossref","first-page":"3538","DOI":"10.1016\/j.eswa.2013.10.059","volume":"41","author":"AK Bhandari","year":"2014","unstructured":"Bhandari AK, Singh VK, Kumar A, Singh GK (2014) Cuckoo search algorithm and wind driven optimization based study of satellite image segmentation for multilevel thresholding using Kapur\u2019s entropy\u2019. Expert Syst Appl 41(7):3538\u20133560","journal-title":"Expert Syst Appl"},{"key":"3771_CR10","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/j.asoc.2016.05.026","volume":"47","author":"A Mondal","year":"2016","unstructured":"Mondal A, Ghosh S, Ghosh A (2016) Robust global and local fuzzy energy based active contour for image segmentation. Appl Soft Comput 47:191\u2013215","journal-title":"Appl Soft Comput"},{"key":"3771_CR11","doi-asserted-by":"crossref","first-page":"184","DOI":"10.1016\/j.eswa.2016.03.032","volume":"58","author":"S Suresh","year":"2016","unstructured":"Suresh S, Lal S (2016) An efficient cuckoo search algorithm based multilevel thresholding for segmentation of satellite images using different objective functions. Expert Syst Appl 58:184\u2013209","journal-title":"Expert Syst Appl"},{"key":"3771_CR12","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1016\/j.swevo.2014.12.002","volume":"21","author":"A Bouaziz","year":"2015","unstructured":"Bouaziz A, Draa A, Chikhi S (2015) Artificial bees for multilevel thresholding of iris images. Swarm Evol Comput 21:32\u201340","journal-title":"Swarm Evol Comput"},{"issue":"10","key":"3771_CR13","doi-asserted-by":"crossref","first-page":"1124","DOI":"10.1016\/j.measurement.2008.03.002","volume":"41","author":"M Maitra","year":"2008","unstructured":"Maitra M, Chatterjee A (2008) A novel technique for multilevel optimal magnetic resonance brain image thresholding using bacterial foraging. Measurement 41(10):1124\u20131134","journal-title":"Measurement"},{"issue":"10","key":"3771_CR14","doi-asserted-by":"crossref","first-page":"1828","DOI":"10.1016\/j.measurement.2011.09.005","volume":"44","author":"PD Sathya","year":"2011","unstructured":"Sathya PD, Kayalvizhi R (2011) Amended bacterial foraging algorithm for multilevel thresholding of magnetic resonance brain images. Measurement 44(10):1828\u20131848","journal-title":"Measurement"},{"issue":"2","key":"3771_CR15","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1007\/s11760-017-1170-z","volume":"12","author":"S Pare","year":"2018","unstructured":"Pare S, Bhandari AK, Kumar A, Bajaj V (2018) Backtracking search algorithm for color image multilevel thresholding. Signal Image Video Process 12(2):385\u2013392","journal-title":"Signal Image Video Process"},{"key":"3771_CR16","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1016\/j.asoc.2015.02.012","volume":"31","author":"ZW Ye","year":"2015","unstructured":"Ye ZW, Wang MW, Liu W, Chen SB (2015) Fuzzy entropy based optimal thresholding using Bat algorithm. Appl Soft Comput 31:381\u2013395","journal-title":"Appl Soft Comput"},{"key":"3771_CR17","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1016\/j.patrec.2014.11.009","volume":"54","author":"S Sarkar","year":"2015","unstructured":"Sarkar S, Das S, Chaudhuri SS (2015) A multilevel color image thresholding scheme based on minimum cross entropy and differential evolution. Pattern Recogn Lett 54:27\u201335","journal-title":"Pattern Recogn Lett"},{"issue":"2","key":"3771_CR18","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1007\/s11045-014-0310-7","volume":"27","author":"AK Bhandari","year":"2016","unstructured":"Bhandari AK, Kumar A, Singh GK, Soni V (2016) Dark satellite image enhancement using knee transfer function and gamma correction based on DWT\u2013SVD. Multidimens Syst Signal Process 27(2):453\u2013476","journal-title":"Multidimens Syst Signal Process"},{"issue":"18","key":"3771_CR19","doi-asserted-by":"crossref","first-page":"11417","DOI":"10.1007\/s11042-015-2860-6","volume":"75","author":"HP Chen","year":"2015","unstructured":"Chen HP, Shen XJ, Long JW (2015) Histogram-based colour image fuzzy clustering algorithm. Multimed Tools Appl 75(18):11417\u201311432","journal-title":"Multimed Tools Appl"},{"issue":"4","key":"3771_CR20","doi-asserted-by":"crossref","first-page":"2136","DOI":"10.1016\/j.eswa.2014.09.043","volume":"42","author":"HVH Ayala","year":"2015","unstructured":"Ayala HVH, dos Santos FM, Mariani VC, dos Santos Coelho L (2015) Image thresholding segmentation based on a novel beta differential evolution approach. Expert Syst Appl 42(4):2136\u20132142","journal-title":"Expert Syst Appl"},{"key":"3771_CR21","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1016\/j.asoc.2014.05.037","volume":"23","author":"T Kurban","year":"2014","unstructured":"Kurban T, Civicioglu P, Kurban R, Besdok E (2014) Comparison of evolutionary and swarm based computational techniques for multilevel color image thresholding. Appl Soft Comput 23:128\u2013143","journal-title":"Appl Soft Comput"},{"issue":"9","key":"3771_CR22","doi-asserted-by":"crossref","first-page":"6949","DOI":"10.1007\/s12517-014-1714-2","volume":"8","author":"AK Bhandari","year":"2015","unstructured":"Bhandari AK, Kumar A, Singh GK (2015) Improved feature extraction scheme for satellite images using NDVI and NDWI technique based on DWT and SVD. Arab J Geosci 8(9):6949\u20136966","journal-title":"Arab J Geosci"},{"key":"3771_CR23","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/j.dsp.2014.10.006","volume":"37","author":"H Peng","year":"2015","unstructured":"Peng H, Wang J, P\u00e9rez-Jim\u00e9nez MJ (2015) Optimal multi-level thresholding with membrane computing. Digit Signal Process 37:53\u201364","journal-title":"Digit Signal Process"},{"issue":"14","key":"3771_CR24","doi-asserted-by":"crossref","first-page":"5874","DOI":"10.1016\/j.eswa.2015.03.028","volume":"42","author":"D Oliva","year":"2015","unstructured":"Oliva D, Osuna-Enciso V, Cuevas E, Pajares G, P\u00e9rez-Cisneros M, Zald\u00edvar D (2015) Improving segmentation velocity using an evolutionary method. Expert Syst Appl 42(14):5874\u20135886","journal-title":"Expert Syst Appl"},{"key":"3771_CR25","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1016\/j.neucom.2014.02.020","volume":"139","author":"D Oliva","year":"2014","unstructured":"Oliva D, Cuevas E, Pajares G, Zaldivar D, Osuna V (2014) A Multilevel thresholding algorithm using electromagnetism optimization. Neurocomputing 139:357\u2013381","journal-title":"Neurocomputing"},{"key":"3771_CR26","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1016\/j.amc.2014.04.103","volume":"239","author":"C Fan","year":"2014","unstructured":"Fan C, Ouyang H, Zhang Y, Xiao L (2014) Optimal multilevel thresholding using molecular kinetic theory optimization algorithm. Appl Math Comput 239:391\u2013408","journal-title":"Appl Math Comput"},{"key":"3771_CR27","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.asoc.2013.11.018","volume":"17","author":"M Ali","year":"2014","unstructured":"Ali M, Ahn CW, Pant M (2014) Multi-level image thresholding by synergetic differential evolution. Appl Soft Comput 17:1\u201311","journal-title":"Appl Soft Comput"},{"key":"3771_CR28","first-page":"1","volume":"2014","author":"J Zhang","year":"2014","unstructured":"Zhang J, Li H, Tang Z, Lu Q, Zheng X, Zhou J (2014) An improved quantum-inspired genetic algorithm for image multi-level thresholding segmentation. Math Probl Eng 2014:1\u201312","journal-title":"Math Probl Eng"},{"key":"3771_CR29","doi-asserted-by":"crossref","unstructured":"Pare S, Bhandari AK, Kumar A, Singh GK, Khare S (2015) Satellite image segmentation based on different objective functions using genetic algorithm: a comparative study. In: 2015 IEEE international conference on digital signal processing (DSP). IEEE, pp 730\u2013734","DOI":"10.1109\/ICDSP.2015.7251972"},{"key":"3771_CR30","doi-asserted-by":"crossref","first-page":"703","DOI":"10.1016\/j.asoc.2016.01.054","volume":"46","author":"G Sun","year":"2016","unstructured":"Sun G, Zhang A, Yao Y, Wang Z (2016) A novel hybrid algorithm of gravitational search algorithm with genetic algorithm for multi-level thresholding. Appl Soft Comput 46:703\u2013730","journal-title":"Appl Soft Comput"},{"issue":"8","key":"3771_CR31","doi-asserted-by":"crossref","first-page":"1131","DOI":"10.1016\/j.knosys.2011.02.013","volume":"24","author":"K Tang","year":"2011","unstructured":"Tang K, Yuan X, Sun T, Yang J, Gao S (2011) An improved scheme for minimum cross entropy threshold selection based on genetic algorithm\u2019. Knowl Based Syst 24(8):1131\u20131138","journal-title":"Knowl Based Syst"},{"issue":"4","key":"3771_CR32","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1023\/A:1008202821328","volume":"11","author":"R Storn","year":"1997","unstructured":"Storn R, Price K (1997) Differential evolution: a simple and efficient heuristic for global optimization over continuous spaces. J Global Optim 11(4):341\u2013359","journal-title":"J Global Optim"},{"issue":"7","key":"3771_CR33","doi-asserted-by":"crossref","first-page":"788","DOI":"10.1016\/j.patrec.2006.11.007","volume":"28","author":"W Tao","year":"2007","unstructured":"Tao W, Jin H, Liu L (2007) Object segmentation using ant colony optimization algorithm and fuzzy entropy. Pattern Recogn Lett 28(7):788\u2013796","journal-title":"Pattern Recogn Lett"},{"issue":"4","key":"3771_CR34","doi-asserted-by":"crossref","first-page":"595","DOI":"10.1016\/j.engappai.2010.12.001","volume":"24","author":"PD Sathya","year":"2011","unstructured":"Sathya PD, Kayalvizhi R (2011) Modified bacterial foraging algorithm based multilevel thresholding for image segmentation. Eng Appl Artif Intell 24(4):595\u2013615","journal-title":"Eng Appl Artif Intell"},{"issue":"12","key":"3771_CR35","doi-asserted-by":"crossref","first-page":"15549","DOI":"10.1016\/j.eswa.2011.06.004","volume":"38","author":"PD Sathya","year":"2011","unstructured":"Sathya PD, Kayalvizhi R (2011) Optimal multilevel thresholding using bacterial foraging algorithm. Expert Syst Appl 38(12):15549\u201315564","journal-title":"Expert Syst Appl"},{"issue":"12","key":"3771_CR36","doi-asserted-by":"crossref","first-page":"15489","DOI":"10.1016\/j.eswa.2011.06.011","volume":"38","author":"N Sanyal","year":"2011","unstructured":"Sanyal N, Chatterjee A, Munshi S (2011) An adaptive bacterial foraging algorithm for fuzzy entropy based image segmentation. Expert Syst Appl 38(12):15489\u201315498","journal-title":"Expert Syst Appl"},{"key":"3771_CR37","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2013\/575414","volume":"2013","author":"D Oliva","year":"2013","unstructured":"Oliva D, Cuevas E, Pajares G, Zaldivar D, Perez-Cisneros M (2013) Multilevel thresholding segmentation based on harmony search optimization. J Appl Math 2013:1\u201324","journal-title":"J Appl Math"},{"issue":"9","key":"3771_CR38","doi-asserted-by":"crossref","first-page":"3302","DOI":"10.1016\/j.amc.2009.10.018","volume":"215","author":"MH Horng","year":"2010","unstructured":"Horng MH (2010) A multilevel image thresholding using the honey bee mating optimization. Appl Math Comput 215(9):3302\u20133310","journal-title":"Appl Math Comput"},{"issue":"6","key":"3771_CR39","doi-asserted-by":"crossref","first-page":"4580","DOI":"10.1016\/j.eswa.2009.12.050","volume":"37","author":"MH Horng","year":"2010","unstructured":"Horng MH (2010) Multilevel minimum cross entropy threshold selection based on the honey bee mating optimization. Expert Syst Appl 37(6):4580\u20134592","journal-title":"Expert Syst Appl"},{"key":"3771_CR40","first-page":"37","volume":"2014","author":"N Raja","year":"2014","unstructured":"Raja N, Rajinikanth V, Latha K (2014) Otsu based optimal multilevel image thresholding using firefly algorithm. Modell Simul Eng 2014:37","journal-title":"Modell Simul Eng"},{"issue":"12","key":"3771_CR41","doi-asserted-by":"crossref","first-page":"14805","DOI":"10.1016\/j.eswa.2011.05.069","volume":"38","author":"MH Horng","year":"2011","unstructured":"Horng MH, Liou RJ (2011) Multilevel minimum cross entropy threshold selection based on the firefly algorithm. Expert Syst Appl 38(12):14805\u201314811","journal-title":"Expert Syst Appl"},{"issue":"1\u20132","key":"3771_CR42","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1080\/0952813X.2015.1020518","volume":"28","author":"AK Bhandari","year":"2016","unstructured":"Bhandari AK, Kumar A, Singh GK, Soni V (2016) Performance study of evolutionary algorithm for different wavelet filters for satellite image denoising using sub-band adaptive threshold. J Exp Theor Artif Intell 28(1\u20132):71\u201395","journal-title":"J Exp Theor Artif Intell"},{"issue":"6","key":"3771_CR43","doi-asserted-by":"crossref","first-page":"3066","DOI":"10.1016\/j.asoc.2012.03.072","volume":"13","author":"B Akay","year":"2013","unstructured":"Akay B (2013) A study on particle swarm optimization and artificial bee colony algorithms for multilevel thresholding. Appl Soft Comput 13(6):3066\u20133091","journal-title":"Appl Soft Comput"},{"issue":"5","key":"3771_CR44","doi-asserted-by":"crossref","first-page":"1601","DOI":"10.1080\/01431161.2013.876518","volume":"35","author":"AK Bhandari","year":"2014","unstructured":"Bhandari AK, Soni V, Kumar A, Singh GK (2014) Artificial bee colony-based satellite image contrast and brightness enhancement technique using DWT\u2013SVD. Int J Remote Sens 35(5):1601\u20131624","journal-title":"Int J Remote Sens"},{"issue":"8","key":"3771_CR45","doi-asserted-by":"crossref","first-page":"720","DOI":"10.1049\/iet-spr.2013.0139","volume":"7","author":"V Soni","year":"2013","unstructured":"Soni V, Bhandari AK, Kumar A, Singh GK (2013) Improved sub-band adaptive thresholding function for denoising of satellite image based on evolutionary algorithms. IET Signal Process 7(8):720\u2013730","journal-title":"IET Signal Process"},{"issue":"4","key":"3771_CR46","doi-asserted-by":"crossref","first-page":"841","DOI":"10.3390\/e13040841","volume":"13","author":"Y Zhang","year":"2011","unstructured":"Zhang Y, Wu L (2011) Optimal multi-level thresholding based on maximum Tsallis entropy via an artificial bee colony approach. Entropy 13(4):841\u2013859","journal-title":"Entropy"},{"issue":"2","key":"3771_CR47","doi-asserted-by":"crossref","first-page":"495","DOI":"10.1007\/s11045-015-0353-4","volume":"28","author":"AK Bhandari","year":"2015","unstructured":"Bhandari AK, Kumar A, Chaudhary S, Singh GK (2015) A new beta differential evolution algorithm for edge preserved colored satellite image enhancement. Multidimens Syst Signal Process 28(2):495\u2013527","journal-title":"Multidimens Syst Signal Process"},{"issue":"11","key":"3771_CR48","first-page":"13785","volume":"38","author":"MH Horng","year":"2011","unstructured":"Horng MH (2011) Multilevel thresholding selection based on the artificial bee colony algorithm for image segmentation. Expert Syst Appl 38(11):13785\u201313791","journal-title":"Expert Syst Appl"},{"issue":"8","key":"3771_CR49","doi-asserted-by":"crossref","first-page":"5205","DOI":"10.1016\/j.asoc.2011.05.039","volume":"11","author":"M Ma","year":"2011","unstructured":"Ma M, Liang J, Guo M, Fan Y, Yin Y (2011) SAR image segmentation based on artificial bee colony algorithm. Appl Soft Comput 11(8):5205\u20135214","journal-title":"Appl Soft Comput"},{"issue":"2","key":"3771_CR50","doi-asserted-by":"crossref","first-page":"1341","DOI":"10.1016\/j.eswa.2007.01.002","volume":"34","author":"M Maitra","year":"2008","unstructured":"Maitra M, Chatterjee A (2008) A hybrid cooperative\u2013comprehensive learning based PSO algorithm for image segmentation using multilevel thresholding. Expert Syst Appl 34(2):1341\u20131350","journal-title":"Expert Syst Appl"},{"key":"3771_CR51","doi-asserted-by":"crossref","first-page":"698","DOI":"10.1016\/j.neucom.2015.09.079","volume":"174","author":"AK Bhandari","year":"2016","unstructured":"Bhandari AK, Kumar D, Kumar A, Singh GK (2016) Optimal sub-band adaptive thresholding based edge preserved satellite image denoising using adaptive differential evolution algorithm. Neurocomputing 174:698\u2013721","journal-title":"Neurocomputing"},{"issue":"4","key":"3771_CR52","doi-asserted-by":"crossref","first-page":"934","DOI":"10.1109\/TIM.2009.2030931","volume":"59","author":"H Gao","year":"2010","unstructured":"Gao H, Xu W, Sun J, Tang Y (2010) Multilevel thresholding for image segmentation through an improved quantum-behaved particle swarm algorithm. IEEE Trans Instrum Meas 59(4):934\u2013946","journal-title":"IEEE Trans Instrum Meas"},{"issue":"5","key":"3771_CR53","doi-asserted-by":"crossref","first-page":"2745","DOI":"10.1109\/TAP.2013.2238654","volume":"61","author":"Z Bayraktar","year":"2013","unstructured":"Bayraktar Z, Komurcu M, Bossard JA, Werner DH (2013) The wind driven optimization technique and its application in electromagnetics. IEEE Trans Antennas Propag 61(5):2745\u20132757","journal-title":"IEEE Trans Antennas Propag"},{"key":"3771_CR54","doi-asserted-by":"crossref","first-page":"1563","DOI":"10.1109\/LAWP.2011.2178224","volume":"10","author":"Z Bayraktar","year":"2011","unstructured":"Bayraktar Z, Turpin JP, Werner DH (2011) Nature-inspired optimization of high-impedance metasurfaces with ultrasmall interwoven unit cells. IEEE Antennas Wirel Propag Lett 10:1563\u20131566","journal-title":"IEEE Antennas Wirel Propag Lett"},{"key":"3771_CR55","unstructured":"Yang XS, Deb S (2009) Cuckoo search via levey flights. In: Proceedings of the world congress on nature and biologically inspired computing, NABIC, Coimbatore, vol 4, pp 210\u2013214"},{"issue":"4","key":"3771_CR56","doi-asserted-by":"crossref","first-page":"1286","DOI":"10.1016\/j.isatra.2014.04.007","volume":"53","author":"AK Bhandari","year":"2014","unstructured":"Bhandari AK, Soni V, Kumar A, Singh GK (2014) Cuckoo search algorithm based satellite image contrast and brightness enhancement using DWT\u2013SVD. ISA Trans 53(4):1286\u20131296","journal-title":"ISA Trans"},{"key":"3771_CR57","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/j.swevo.2013.02.001","volume":"11","author":"S Agrawal","year":"2013","unstructured":"Agrawal S, Panda R, Bhuyan S, Panigrahi BK (2013) Tsallis entropy based optimal multilevel thresholding using cuckoo search algorithm. Swarm Evol Comput 11:16\u201330","journal-title":"Swarm Evol Comput"},{"issue":"3","key":"3771_CR58","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1016\/0165-1684(80)90020-1","volume":"2","author":"T Pun","year":"1980","unstructured":"Pun T (1980) A new method for grey-level picture thresholding using the entropy of the histogram. Signal Process 2(3):223\u2013237","journal-title":"Signal Process"},{"issue":"1","key":"3771_CR59","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/0031-3203(86)90030-0","volume":"19","author":"J Kittler","year":"1986","unstructured":"Kittler J, Illingworth J (1986) Minimum error thresholding. Pattern Recogn 19(1):41\u201347","journal-title":"Pattern Recogn"},{"issue":"2","key":"3771_CR60","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/0734-189X(88)90022-9","volume":"41","author":"PK Sahoo","year":"1988","unstructured":"Sahoo PK, Soltani SAKC, Wong AK (1988) A survey of thresholding techniques. Comput Vis Graph Image Process 41(2):233\u2013260","journal-title":"Comput Vis Graph Image Process"},{"issue":"1","key":"3771_CR61","doi-asserted-by":"crossref","first-page":"146","DOI":"10.1117\/1.1631315","volume":"13","author":"M Sezgin","year":"2004","unstructured":"Sezgin M (2004) Survey over image thresholding techniques and quantitative performance evaluation. J Electron Imaging 13(1):146\u2013168","journal-title":"J Electron Imaging"},{"key":"3771_CR62","doi-asserted-by":"crossref","unstructured":"Pare S, Bhandari AK, Kumar A, Singh GK (2017) A new technique for multilevel color image thresholding based on modified fuzzy entropy and L\u00e9vy flight firefly algorithm. Comput Electr Eng (in press)","DOI":"10.1016\/j.compeleceng.2017.08.008"},{"issue":"3","key":"3771_CR63","doi-asserted-by":"crossref","first-page":"1573","DOI":"10.1016\/j.eswa.2014.09.049","volume":"42","author":"AK Bhandari","year":"2015","unstructured":"Bhandari AK, Kumar A, Singh GK (2015) Modified artificial bee colony based computationally efficient multilevel thresholding for satellite image segmentation using Kapur\u2019s, Otsu and Tsallis functions. Expert Syst Appl 42(3):1573\u20131601","journal-title":"Expert Syst Appl"},{"key":"3771_CR64","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1016\/0734-189X(85)90133-1","volume":"29","author":"W Tsai","year":"1985","unstructured":"Tsai W (1985) Moment-preserving thresholding: a new approach. Comput Vis Graph Image Process 29:377\u2013393","journal-title":"Comput Vis Graph Image Process"},{"issue":"9","key":"3771_CR65","doi-asserted-by":"crossref","first-page":"1059","DOI":"10.1016\/j.patrec.2004.03.003","volume":"25","author":"AM Portesde","year":"2004","unstructured":"Portesde AM, Esquef IA, Gesualdi MAR (2004) Image thresholding using Tsallis entropy. Pattern Recogn Lett 25(9):1059\u20131065","journal-title":"Pattern Recogn Lett"},{"issue":"3","key":"3771_CR66","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1016\/0734-189X(85)90125-2","volume":"29","author":"JN Kapur","year":"1985","unstructured":"Kapur JN, Sahoo PK, Wong AKC (1985) A new method for gray-level picture thresholding using the entropy of the histogram. Comput Vis Graph Image Process 29(3):273\u2013285","journal-title":"Comput Vis Graph Image Process"},{"issue":"6","key":"3771_CR67","doi-asserted-by":"crossref","first-page":"520","DOI":"10.1016\/j.patrec.2005.09.017","volume":"27","author":"PK Sahoo","year":"2006","unstructured":"Sahoo PK, Arora G (2006) Image thresholding using two-dimensional Tsallis\u2013Havrda\u2013Charv\u00e1t entropy. Pattern Recogn Lett 27(6):520\u2013528","journal-title":"Pattern Recogn Lett"},{"issue":"4","key":"3771_CR68","first-page":"39","volume":"5","author":"PD Sathya","year":"2010","unstructured":"Sathya PD, Kayalvizhi R (2010) PSO-based Tsallis thresholding selection procedure for image segmentation. Int J Comput Appl 5(4):39\u201346","journal-title":"Int J Comput Appl"},{"issue":"1","key":"3771_CR69","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1109\/TSMC.1979.4310076","volume":"9","author":"N Otsu","year":"1979","unstructured":"Otsu N (1979) A threshold selection method from gray-level histograms. IEEE Trans Syst Man Cybern SMC 9(1):62\u201366","journal-title":"IEEE Trans Syst Man Cybern SMC"},{"key":"3771_CR70","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1016\/0031-3203(93)90115-D","volume":"26","author":"CH Li","year":"1993","unstructured":"Li CH, Lee CK (1993) Minimum cross entropy thresholding. Pattern Recogn 26:617\u2013625","journal-title":"Pattern Recogn"},{"key":"3771_CR71","doi-asserted-by":"crossref","first-page":"566","DOI":"10.1016\/j.eswa.2016.02.024","volume":"55","author":"S Ouadfel","year":"2016","unstructured":"Ouadfel S, Taleb-Ahmed A (2016) Social spiders optimization and flower pollination algorithm for multilevel image thresholding: a performance study. Expert Syst Appl 55:566\u2013584","journal-title":"Expert Syst Appl"},{"key":"3771_CR72","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1016\/j.knosys.2016.03.010","volume":"101","author":"WA Hussein","year":"2016","unstructured":"Hussein WA, Sahran S, Abdullah SNHS (2016) A fast scheme for multilevel thresholding based on a modified bees algorithm. Knowl Based Syst 101:114\u2013134","journal-title":"Knowl Based Syst"},{"key":"3771_CR73","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1016\/j.asoc.2016.05.040","volume":"47","author":"S Pare","year":"2016","unstructured":"Pare S, Kumar A, Bajaj V, Singh GK (2016) A multilevel color image segmentation technique based on cuckoo search algorithm and energy curve. Appl Soft Comput 47:76\u2013102","journal-title":"Appl Soft Comput"},{"key":"3771_CR74","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1016\/j.eswa.2016.06.044","volume":"63","author":"AK Bhandari","year":"2016","unstructured":"Bhandari AK, Kumar A, Chaudhary S, Singh GK (2016) A novel color image multilevel thresholding based segmentation using nature inspired optimization algorithms. Expert Syst Appl 63:112\u2013133","journal-title":"Expert Syst Appl"},{"key":"3771_CR75","doi-asserted-by":"crossref","first-page":"380","DOI":"10.1016\/j.eswa.2015.11.001","volume":"46","author":"LH Son","year":"2016","unstructured":"Son LH, Tuan TM (2016) A cooperative semi-supervised fuzzy clustering framework for dental X-ray image segmentation. Expert Syst Appl 46:380\u2013393","journal-title":"Expert Syst Appl"},{"key":"3771_CR76","doi-asserted-by":"crossref","first-page":"120","DOI":"10.1016\/j.eswa.2015.11.016","volume":"50","author":"S Sarkar","year":"2016","unstructured":"Sarkar S, Das S, Chaudhuri SS (2016) Hyper-spectral image segmentation using R\u00e9nyi entropy based multi-level thresholding aided with differential evolution. Expert Syst Appl 50:120\u2013129","journal-title":"Expert Syst Appl"},{"issue":"3","key":"3771_CR77","doi-asserted-by":"crossref","first-page":"1176","DOI":"10.1016\/j.ejor.2004.08.047","volume":"169","author":"P Kaelo","year":"2006","unstructured":"Kaelo P, Ali MM (2006) A numerical study of some modified differential evolution algorithms. Eur J Oper Res 169(3):1176\u20131184","journal-title":"Eur J Oper Res"},{"key":"3771_CR78","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1016\/j.csda.2006.12.011","volume":"52","author":"MM Ali","year":"2007","unstructured":"Ali MM (2007) Synthesis of the \u03b2-distribution as an aid to stochastic global optimization. Comput Stat Data Anal 52:133\u2013149","journal-title":"Comput Stat Data Anal"},{"key":"3771_CR79","doi-asserted-by":"crossref","unstructured":"Mendes R, Kennedy J (2007) Stochastic barycenters and beta distribution for Gaussian particle swarms. In: Progress in artificial intelligence. Springer, Berlin, pp 259\u2013270","DOI":"10.1007\/978-3-540-77002-2_22"},{"issue":"8","key":"3771_CR80","doi-asserted-by":"crossref","first-page":"888","DOI":"10.1109\/34.868688","volume":"22","author":"J Shi","year":"2000","unstructured":"Shi J, Malik J (2000) Normalized cuts and image segmentation. IEEE Trans Pattern Anal Mach Intell 22(8):888\u2013905","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"3771_CR81","unstructured":"The Berkeley Segmentation Dataset and Benchmark. https:\/\/www2.eecs.berkeley.edu\/Research\/Projects\/CS\/vision\/bsds\/ . Accessed 18 Feb 2018"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-018-3771-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-018-3771-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-018-3771-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,3]],"date-time":"2022-09-03T13:54:20Z","timestamp":1662213260000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-018-3771-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,10,6]]},"references-count":81,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2020,5]]}},"alternative-id":["3771"],"URL":"https:\/\/doi.org\/10.1007\/s00521-018-3771-z","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,10,6]]},"assertion":[{"value":"2 April 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 September 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 October 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The author confirms that there is no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}