{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T07:50:49Z","timestamp":1761897049446,"version":"3.37.3"},"reference-count":49,"publisher":"Springer Science and Business Media LLC","issue":"13","license":[{"start":{"date-parts":[[2019,7,31]],"date-time":"2019-07-31T00:00:00Z","timestamp":1564531200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,7,31]],"date-time":"2019-07-31T00:00:00Z","timestamp":1564531200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput & Applic"],"published-print":{"date-parts":[[2020,7]]},"DOI":"10.1007\/s00521-019-04381-9","type":"journal-article","created":{"date-parts":[[2019,7,30]],"date-time":"2019-07-30T23:05:37Z","timestamp":1564527937000},"page":"8901-8937","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Spatial context-based optimal multilevel energy curve thresholding for image segmentation using soft computing techniques"],"prefix":"10.1007","volume":"32","author":[{"given":"Pankaj","family":"Kandhway","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9842-8125","authenticated-orcid":false,"given":"Ashish Kumar","family":"Bhandari","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,7,31]]},"reference":[{"key":"4381_CR1","doi-asserted-by":"publisher","first-page":"380","DOI":"10.1016\/j.eswa.2015.11.001","volume":"46","author":"TM Tuan","year":"2016","unstructured":"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":"4381_CR2","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1016\/j.patcog.2017.03.009","volume":"68","author":"SK Choy","year":"2017","unstructured":"Choy SK, Lam SY, Yu KW, Lee WY, Leung KT (2017) Fuzzy model-based clustering and its application in image segmentation. Pattern Recogn 68:141\u2013157","journal-title":"Pattern Recogn"},{"key":"4381_CR3","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1016\/j.polymertesting.2017.11.019","volume":"65","author":"YL Deng","year":"2018","unstructured":"Deng YL, Xu SP, Chen HQ, Liang ZH, Yu CL (2018) Inspection of extremely slight aesthetic defects in a polymeric polarizer using the edge of light between black and white stripes. Polym Test 65:169\u2013175","journal-title":"Polym Test"},{"key":"4381_CR4","doi-asserted-by":"publisher","first-page":"284","DOI":"10.1016\/j.compag.2017.12.001","volume":"144","author":"R Barth","year":"2018","unstructured":"Barth R, IJsselmuiden J, Hemming J, Van Henten EJ (2018) Data synthesis methods for semantic segmentation in agriculture: a Capsicum annuum dataset. Comput Electron Agric 144:284\u2013296","journal-title":"Comput Electron Agric"},{"issue":"2","key":"4381_CR5","doi-asserted-by":"publisher","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"},{"key":"4381_CR6","volume-title":"Digital image processing","author":"RC Gonzalez","year":"2002","unstructured":"Gonzalez RC, Woods RE (2002) Digital image processing, 2nd edn. Pearson Prentice Hall, Singapore","edition":"2"},{"key":"4381_CR7","doi-asserted-by":"publisher","first-page":"146","DOI":"10.1117\/1.1631315","volume":"13","author":"M Sezgin","year":"2004","unstructured":"Sezgin M, Sankur B (2004) Survey over image thresholding techniques and quantitative performance evaluation. J Electron Imaging 13:146\u2013168","journal-title":"J Electron Imaging"},{"key":"4381_CR8","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1016\/0165-1684(80)90020-1","volume":"2","author":"T Pun","year":"1980","unstructured":"Pun T (1980) New method for gray-level picture thresholding using the entropy of the histogram. Signal Process 2:223\u2013237","journal-title":"Signal Process"},{"key":"4381_CR9","doi-asserted-by":"publisher","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 9:62\u201366","journal-title":"IEEE Trans Syst Man Cybern"},{"issue":"1","key":"4381_CR10","doi-asserted-by":"publisher","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"},{"key":"4381_CR11","doi-asserted-by":"publisher","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) New method for gray-level picture thresholding using the entropy of the histogram. Comput Vis Graph Image Process 29:273\u2013285","journal-title":"Comput Vis Graph Image Process"},{"issue":"9","key":"4381_CR12","doi-asserted-by":"publisher","first-page":"1059","DOI":"10.1016\/j.patrec.2004.03.003","volume":"25","author":"MP de Albuquerque","year":"2004","unstructured":"de Albuquerque MP, Esquef IA, Mello AG (2004) Image thresholding using Tsallis entropy. Pattern Recogn Lett 25(9):1059\u20131065","journal-title":"Pattern Recogn Lett"},{"issue":"4","key":"4381_CR13","doi-asserted-by":"publisher","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(4):617\u2013625","journal-title":"Pattern Recogn"},{"key":"4381_CR14","doi-asserted-by":"publisher","first-page":"935","DOI":"10.1016\/0031-3203(90)90103-R","volume":"23","author":"YK Lim","year":"1990","unstructured":"Lim YK, Lee SU (1990) On the color image segmentation algorithm based on the thresholding and the fuzzy c-means techniques. Pattern Recogn 23:935\u2013952","journal-title":"Pattern Recogn"},{"issue":"6","key":"4381_CR15","doi-asserted-by":"publisher","first-page":"1149","DOI":"10.1016\/j.patcog.2003.10.008","volume":"37","author":"PK Sahoo","year":"2004","unstructured":"Sahoo PK, Arora G (2004) A thresholding method based on two-dimensional Renyi\u2019s entropy. Pattern Recogn 37(6):1149\u20131161","journal-title":"Pattern Recogn"},{"key":"4381_CR16","doi-asserted-by":"publisher","first-page":"370","DOI":"10.1109\/83.366472","volume":"4","author":"EJ Chang","year":"1995","unstructured":"Chang EJ, Yen JC, Chang S (1995) A new criterion for automatic multilevel thresholding. IEEE Trans Image Process 4:370\u2013378","journal-title":"IEEE Trans Image Process"},{"key":"4381_CR17","doi-asserted-by":"publisher","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"},{"key":"4381_CR18","doi-asserted-by":"publisher","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"},{"key":"4381_CR19","doi-asserted-by":"publisher","first-page":"389","DOI":"10.1016\/j.asoc.2015.05.016","volume":"34","author":"T Sa\u011f","year":"2015","unstructured":"Sa\u011f T, \u00c7unka\u015f M (2015) Color image segmentation based on multi-objective artificial bee colony optimization. Appl Soft Comput 34:389\u2013401","journal-title":"Appl Soft Comput"},{"issue":"4","key":"4381_CR20","doi-asserted-by":"publisher","first-page":"584","DOI":"10.1016\/j.bbe.2016.06.005","volume":"36","author":"S Beevi","year":"2016","unstructured":"Beevi S, Nair MS, Bindu GR (2016) Automatic segmentation of cell nuclei using Krill Herd optimization based multi-thresholding and localized active contour model. Biocybern Biomed Eng 36(4):584\u2013596","journal-title":"Biocybern Biomed Eng"},{"key":"4381_CR21","doi-asserted-by":"publisher","first-page":"1449","DOI":"10.1016\/j.procs.2015.02.064","volume":"46","author":"V Rajinikanth","year":"2015","unstructured":"Rajinikanth V, Couceiro MS (2015) RGB histogram based color image segmentation using firefly algorithm. Procedia Comput Sci 46:1449\u20131457","journal-title":"Procedia Comput Sci"},{"key":"4381_CR22","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1016\/j.eswa.2016.08.046","volume":"65","author":"U Mlakar","year":"2016","unstructured":"Mlakar U, Poto\u010dnik B, Brest J (2016) A hybrid differential evolution for optimal multilevel image thresholding. Expert Syst Appl 65:221\u2013232","journal-title":"Expert Syst Appl"},{"key":"4381_CR23","doi-asserted-by":"publisher","first-page":"164","DOI":"10.1016\/j.eswa.2017.02.042","volume":"79","author":"D Oliva","year":"2017","unstructured":"Oliva D, Hinojosa S, Cuevas E, Pajares G, Avalos O, G\u00e1lvez J (2017) Cross entropy based thresholding for magnetic resonance brain images using Crow Search algorithm. Expert Syst Appl 79:164\u2013180","journal-title":"Expert Syst Appl"},{"key":"4381_CR24","first-page":"1","volume":"2013","author":"S Dey","year":"2013","unstructured":"Dey S, Bhattacharyya S, Maulik U (2013) Quantum inspired meta-heuristic algorithms for multi-level thresholding for true colour images. Proc IEEE Indicon 2013:1\u20136","journal-title":"Proc IEEE Indicon"},{"key":"4381_CR25","doi-asserted-by":"crossref","unstructured":"Dey S, Bhattacharyya S, Maulik U (2014) New quantum inspired tabu search for multi-level colour image thresholding. In: Proceedings of 8th international conference on computing for sustainable global development (INDIACom-2014), pp 311\u2013316","DOI":"10.1109\/IndiaCom.2014.6828150"},{"key":"4381_CR26","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1016\/j.asoc.2016.04.024","volume":"56","author":"S Dey","year":"2017","unstructured":"Dey S, Bhattacharyya S, Maulik U (2017) Efficient quantum inspired meta-heuristics for multi-level true colour image thresholding. Appl Soft Comput 56:47\u20132513","journal-title":"Appl Soft Comput"},{"issue":"7","key":"4381_CR27","doi-asserted-by":"publisher","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. Expert Syst Appl 41(7):3538\u20133560","journal-title":"Expert Syst Appl"},{"issue":"3","key":"4381_CR28","doi-asserted-by":"publisher","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"},{"issue":"5","key":"4381_CR29","doi-asserted-by":"publisher","first-page":"2382","DOI":"10.1109\/TGRS.2013.2260552","volume":"52","author":"P Ghamisi","year":"2014","unstructured":"Ghamisi P, Couceiro MS, Martins FM, Benediktsson JA (2014) Multilevel image segmentation based on fractional-order Darwinian particle swarm optimization. IEEE Trans Geosci Remote Sens 52(5):2382\u20132394","journal-title":"IEEE Trans Geosci Remote Sens"},{"key":"4381_CR30","doi-asserted-by":"publisher","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"},{"key":"4381_CR31","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: IEEE international conference on digital signal processing (DSP), pp 730\u2013734","DOI":"10.1109\/ICDSP.2015.7251972"},{"issue":"22","key":"4381_CR32","doi-asserted-by":"publisher","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"},{"key":"4381_CR33","doi-asserted-by":"publisher","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":"4381_CR34","doi-asserted-by":"publisher","DOI":"10.1109\/JAS.2017.7510697","author":"S Pare","year":"2017","unstructured":"Pare S, Kumar A, Bajaj V, Singh GK (2017) A context sensitive multilevel thresholding using swarm based algorithms. IEEE\/CAA J Autom Sin. \n                  https:\/\/doi.org\/10.1109\/JAS.2017.7510697","journal-title":"IEEE\/CAA J Autom Sin"},{"key":"4381_CR35","doi-asserted-by":"publisher","first-page":"570","DOI":"10.1016\/j.asoc.2017.08.039","volume":"61","author":"S Pare","year":"2017","unstructured":"Pare S, Kumar A, Bajaj V, Singh GK (2017) An efficient method for multilevel color image thresholding using cuckoo search algorithm based on minimum cross entropy. Appl Soft Comput 61:570\u2013592","journal-title":"Appl Soft Comput"},{"key":"4381_CR36","doi-asserted-by":"publisher","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":"4381_CR37","doi-asserted-by":"publisher","first-page":"476","DOI":"10.1016\/j.compeleceng.2017.08.008","volume":"70","author":"S Pare","year":"2017","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 70:476\u2013495","journal-title":"Comput Electr Eng"},{"key":"4381_CR38","first-page":"1","volume":"12","author":"S Pare","year":"2017","unstructured":"Pare S, Bhandari AK, Kumar A, Bajaj V (2017) Backtracking search algorithm for color image multilevel thresholding. Signal Image Video Process 12:1\u20138","journal-title":"Signal Image Video Process"},{"key":"4381_CR39","doi-asserted-by":"publisher","first-page":"306","DOI":"10.1016\/j.asoc.2016.10.034","volume":"52","author":"AB Ishak","year":"2017","unstructured":"Ishak AB (2017) A two-dimensional multilevel thresholding method for image segmentation. Appl Soft Comput 52:306\u2013322","journal-title":"Appl Soft Comput"},{"key":"4381_CR40","doi-asserted-by":"publisher","first-page":"414","DOI":"10.1016\/j.ijleo.2016.11.039","volume":"131","author":"S Abdel-Khalek","year":"2017","unstructured":"Abdel-Khalek S, Ishak AB, Omer OA, Obada AS (2017) A two-dimensional image segmentation method based on genetic algorithm and entropy. Optik Int J Light Electron Opt 131:414\u2013422","journal-title":"Optik Int J Light Electron Opt"},{"key":"4381_CR41","doi-asserted-by":"publisher","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"},{"key":"4381_CR42","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1016\/j.patrec.2014.04.006","volume":"48","author":"F Bianconi","year":"2014","unstructured":"Bianconi F, Fernandez A (2014) Rotation invariant co-occurrence features based on digital circles and discrete Fourier transform. Pattern Recogn Lett 48:34\u201341","journal-title":"Pattern Recogn Lett"},{"issue":"18","key":"4381_CR43","doi-asserted-by":"publisher","first-page":"7617","DOI":"10.1016\/j.eswa.2013.07.060","volume":"40","author":"R Panda","year":"2013","unstructured":"Panda R, Agrawal S, Bhuyan S (2013) Edge magnitude based multilevel thresholding using cuckoo search technique. Expert Syst Appl 40(18):7617\u20137628","journal-title":"Expert Syst Appl"},{"issue":"1","key":"4381_CR44","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1016\/S0031-3203(96)00065-9","volume":"30","author":"P Sahoo","year":"1997","unstructured":"Sahoo P, Wilkins C, Yeager J (1997) Threshold selection using R\u00e9nyi\u2019s entropy. Pattern Recogn 30(1):71\u201384","journal-title":"Pattern Recogn"},{"key":"4381_CR45","doi-asserted-by":"publisher","first-page":"122","DOI":"10.1016\/j.asoc.2014.06.016","volume":"23","author":"S Patra","year":"2014","unstructured":"Patra S, Gautam R, Singla A (2014) A novel context sensitive multilevel thresholding for image segmentation. Appl Soft Comput 23:122\u2013127","journal-title":"Appl Soft Comput"},{"issue":"19","key":"4381_CR46","doi-asserted-by":"publisher","first-page":"25761","DOI":"10.1007\/s11042-018-5815-x","volume":"77","author":"D Oliva","year":"2018","unstructured":"Oliva D, Hinojosa S, Elaziz MA, Ortega-S\u00e1nchez N (2018) Context based image segmentation using antlion optimization and sine cosine algorithm. Multimed Tools Appl 77(19):25761\u201325797","journal-title":"Multimed Tools Appl"},{"key":"4381_CR47","doi-asserted-by":"publisher","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"},{"issue":"4","key":"4381_CR48","doi-asserted-by":"publisher","first-page":"600","DOI":"10.1109\/TIP.2003.819861","volume":"13","author":"Z Wang","year":"2004","unstructured":"Wang Z, Bovik AC, Sheikh HR, Simoncelli EP (2004) Image quality assessment: from error visibility to structural similarity. IEEE Trans Image Process 13(4):600\u2013612","journal-title":"IEEE Trans Image Process"},{"issue":"8","key":"4381_CR49","doi-asserted-by":"publisher","first-page":"2378","DOI":"10.1109\/TIP.2011.2109730","volume":"20","author":"L Zhang","year":"2011","unstructured":"Zhang L, Zhang L, Mou X, Zhang D (2011) FSIM: a feature similarity index for image quality assessment. IEEE Trans Image Process 20(8):2378\u20132386","journal-title":"IEEE Trans Image Process"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-019-04381-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-019-04381-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-019-04381-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,7,29]],"date-time":"2020-07-29T23:41:44Z","timestamp":1596066104000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-019-04381-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7,31]]},"references-count":49,"journal-issue":{"issue":"13","published-print":{"date-parts":[[2020,7]]}},"alternative-id":["4381"],"URL":"https:\/\/doi.org\/10.1007\/s00521-019-04381-9","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"type":"print","value":"0941-0643"},{"type":"electronic","value":"1433-3058"}],"subject":[],"published":{"date-parts":[[2019,7,31]]},"assertion":[{"value":"7 September 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 July 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 July 2019","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":"We are the authors and confirm that there is no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}