{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,9]],"date-time":"2026-07-09T22:33:52Z","timestamp":1783636432360,"version":"3.55.0"},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"19","license":[{"start":{"date-parts":[[2018,9,29]],"date-time":"2018-09-29T00:00:00Z","timestamp":1538179200000},"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":["Soft Comput"],"published-print":{"date-parts":[[2019,10]]},"DOI":"10.1007\/s00500-018-3537-7","type":"journal-article","created":{"date-parts":[[2018,9,29]],"date-time":"2018-09-29T02:45:47Z","timestamp":1538189147000},"page":"9719-9731","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":29,"title":["Reversible data hiding using Lagrange interpolation for prediction-error expansion embedding"],"prefix":"10.1007","volume":"23","author":[{"given":"Chin-Feng","family":"Lee","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0501-8475","authenticated-orcid":false,"given":"Chi-Yao","family":"Weng","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Cheng-Yu","family":"Kao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2018,9,29]]},"reference":[{"key":"3537_CR1","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1109\/TIP.2004.840686","volume":"14","author":"MU Celik","year":"2005","unstructured":"Celik MU, Sharma G, Tekalp AM, Saber E (2005) Lossless generalized-LSB data embedding. IEEE Trans Image Process 14:253\u2013266","journal-title":"IEEE Trans Image Process"},{"key":"3537_CR2","doi-asserted-by":"publisher","first-page":"469","DOI":"10.1016\/j.patcog.2003.08.007","volume":"37","author":"CK Chan","year":"2004","unstructured":"Chan CK, Cheng LM (2004) Hiding data in images by simple LSB substitution. Pattern Recognit 37:469\u2013474","journal-title":"Pattern Recognit"},{"key":"3537_CR3","doi-asserted-by":"publisher","first-page":"1583","DOI":"10.1016\/S0031-3203(02)00289-3","volume":"36","author":"CC Chang","year":"2003","unstructured":"Chang CC, Hsiao JY, Chan CS (2003) Finding optimal least significant-bit substitution in image hiding by dynamic programming strategy. Pattern Recognit 36:1583\u20131595","journal-title":"Pattern Recognit"},{"key":"3537_CR4","doi-asserted-by":"publisher","first-page":"2286","DOI":"10.1016\/j.ins.2010.01.034","volume":"180","author":"CC Chang","year":"2010","unstructured":"Chang CC, Pai PY, Yeh CM, Chan YK (2010) A high payload frequency-based reversible data hiding method. Inf Sci 180:2286\u20132298","journal-title":"Inf Sci"},{"key":"3537_CR5","first-page":"354","volume":"2","author":"JB Feng","year":"2006","unstructured":"Feng JB, Lin IC, Tsai CS, Chu YP (2006) Reversible watermarking: current status and key issues. Int J Netw Secur 2:354\u2013362","journal-title":"Int J Netw Secur"},{"key":"3537_CR6","doi-asserted-by":"publisher","first-page":"2911","DOI":"10.1016\/j.sigpro.2010.04.012","volume":"90","author":"W Hong","year":"2010","unstructured":"Hong W, Chen TS, Chang YP, Shiu CW (2010) A high capacity reversible data hiding scheme using orthogonal projection and prediction error modification. Sig Process 90:2911\u20132922","journal-title":"Sig Process"},{"key":"3537_CR7","doi-asserted-by":"publisher","first-page":"250","DOI":"10.1109\/TCSVT.2008.2009252","volume":"19","author":"Y Hu","year":"2009","unstructured":"Hu Y, Lee HK, Li J (2009) DE-based reversible data hiding with improved overflow location map. IEEE Trans Circuits Syst Video Technol 19:250\u2013260","journal-title":"IEEE Trans Circuits Syst Video Technol"},{"key":"3537_CR8","doi-asserted-by":"publisher","first-page":"98","DOI":"10.1016\/j.sigpro.2016.03.023","volume":"128","author":"LF Jafar","year":"2016","unstructured":"Jafar LF, Darabkh KA, AL-Zubi RT, Saifan RR (2016) An efficient reversible data hiding algorithm using two steganographic images. Signal Process 128:98\u2013109","journal-title":"Signal Process"},{"key":"3537_CR9","doi-asserted-by":"publisher","first-page":"278","DOI":"10.1179\/1743131X10Y.0000000018","volume":"59","author":"CF Lee","year":"2011","unstructured":"Lee CF, Chen HL (2011) Reversible data hiding based on histogram modification of prediction-error. Imaging Sci J 59:278\u2013292","journal-title":"Imaging Sci J"},{"key":"3537_CR10","doi-asserted-by":"publisher","first-page":"941","DOI":"10.1016\/j.dsp.2012.05.015","volume":"22","author":"CF Lee","year":"2012","unstructured":"Lee CF, Chen HL (2012) Adjustable prediction-based reversible data hiding. Digit Signal Proc 22:941\u2013953","journal-title":"Digit Signal Proc"},{"key":"3537_CR11","doi-asserted-by":"publisher","first-page":"3582","DOI":"10.1016\/j.patcog.2008.05.015","volume":"41","author":"CC Lin","year":"2008","unstructured":"Lin CC, Tai WL, Chang CC (2008) Multilevel reversible data hiding based on histogram modification of difference images. Pattern Recognit 41:3582\u20133591","journal-title":"Pattern Recognit"},{"key":"3537_CR12","doi-asserted-by":"publisher","first-page":"13025","DOI":"10.1007\/s11042-016-3707-5","volume":"77","author":"A Malik","year":"2017","unstructured":"Malik A, Sikka G, Verma H (2017) An image interpolation based reversible data hiding scheme using pixel value adjusting feature. Multimed Tools Appl 77:13025\u201313046","journal-title":"Multimed Tools Appl"},{"key":"3537_CR13","doi-asserted-by":"publisher","first-page":"870","DOI":"10.1587\/elex.5.870","volume":"5","author":"F Mehdi","year":"2008","unstructured":"Mehdi F (2008) Reversible image data hiding based on gradient adjusted prediction. IEICE Electron Express 5:870\u2013876","journal-title":"IEICE Electron Express"},{"key":"3537_CR14","doi-asserted-by":"publisher","first-page":"354","DOI":"10.1109\/TCSVT.2006.869964","volume":"16","author":"Z Ni","year":"2006","unstructured":"Ni Z, Shi YQ, Ansari N, Su W (2006) Reversible data hiding. IEEE Trans Circuits Syst Video Technol 16:354\u2013362","journal-title":"IEEE Trans Circuits Syst Video Technol"},{"key":"3537_CR15","doi-asserted-by":"publisher","first-page":"560","DOI":"10.1049\/iet-ipr.2014.0689","volume":"29","author":"A Nikolaidis","year":"2015","unstructured":"Nikolaidis A (2015) Reversible data hiding in JPEG images utilizing zero quantized coefficients. IET Image Process 29:560\u2013568","journal-title":"IET Image Process"},{"key":"3537_CR16","doi-asserted-by":"publisher","first-page":"760","DOI":"10.1016\/j.image.2014.05.003","volume":"29","author":"B Ou","year":"2014","unstructured":"Ou B, Li X, Zhao Y, Ni R (2014) Reversible data hiding using invariant pixel-value-ordering and prediction-error expansion. Signal Proces Image Commun 29:760\u2013772","journal-title":"Signal Proces Image Commun"},{"key":"3537_CR17","doi-asserted-by":"publisher","first-page":"224","DOI":"10.1016\/j.ins.2017.12.041","volume":"435","author":"P Rahmani","year":"2018","unstructured":"Rahmani P, Dastghailbyfard G (2018) An efficient histogram-based index mapping mechanism for reversible data hiding in VQ-compressed images. Inf Sci 435:224\u2013239","journal-title":"Inf Sci"},{"key":"3537_CR18","doi-asserted-by":"publisher","first-page":"565","DOI":"10.1007\/s00521-015-2089-3","volume":"28","author":"VB Semwal","year":"2017","unstructured":"Semwal VB, Mondal K, Nandi GC (2017a) Robust and accurate feature selection for humanoid push recovery and classification: deep learning approach. Neural Comput Appl 28:565\u2013574","journal-title":"Neural Comput Appl"},{"key":"3537_CR19","doi-asserted-by":"publisher","first-page":"24457","DOI":"10.1007\/s11042-016-4110-y","volume":"76","author":"VB Semwal","year":"2017","unstructured":"Semwal VB, Signha J, Sharma PK, Chauhan A, Behera B (2017b) An optimized feature selection technique based on incremental feature analysis for bio-metric gait data classification. Multimed Tools Appl 76:24457\u201324475","journal-title":"Multimed Tools Appl"},{"key":"3537_CR20","doi-asserted-by":"publisher","first-page":"906","DOI":"10.1109\/TCSVT.2009.2017409","volume":"19","author":"WL Tai","year":"2009","unstructured":"Tai WL, Yeh CM, Chang CC (2009) \u201cReversible data hiding based on histogram modification of pixel differences. IEEE Trans Circuits Syst Video Technol 19:906\u2013910","journal-title":"IEEE Trans Circuits Syst Video Technol"},{"issue":"8","key":"3537_CR21","doi-asserted-by":"publisher","first-page":"890","DOI":"10.1109\/TCSVT.2003.815962","volume":"13","author":"J Tian","year":"2003","unstructured":"Tian J (2003) Reversible data embedding using a difference expansion. IEEE Trans Circuits Syst Video Technol 13(8):890\u2013896","journal-title":"IEEE Trans Circuits Syst Video Technol"},{"key":"3537_CR22","doi-asserted-by":"publisher","first-page":"1129","DOI":"10.1016\/j.sigpro.2008.12.017","volume":"89","author":"P Tsai","year":"2008","unstructured":"Tsai P, Hu YC, Yeh HL (2008) Reversible image hiding scheme using predictive coding and histogram shifting. Sig Process 89:1129\u20131143","journal-title":"Sig Process"},{"key":"3537_CR23","first-page":"73","volume":"5","author":"HW Tseng","year":"2011","unstructured":"Tseng HW, Tsai YM (2011) Reversible data hiding scheme based on hierarchy prediction. Int J Adv Inf Technol 5:73\u201390","journal-title":"Int J Adv Inf Technol"},{"key":"3537_CR24","doi-asserted-by":"publisher","first-page":"781","DOI":"10.1109\/LCOMM.2006.060863","volume":"10","author":"SZ Wang","year":"2006","unstructured":"Wang SZ (2006) Efficient steganograph embedding by exploiting modification direction. IEEE Commun Lett 10:781\u2013783","journal-title":"IEEE Commun Lett"},{"key":"3537_CR25","doi-asserted-by":"publisher","first-page":"798","DOI":"10.1016\/j.jvcir.2012.04.009","volume":"23","author":"CT Wang","year":"2012","unstructured":"Wang CT, Yu HF (2012) A Markov-based reversible data hiding method based on histogram shifting. J Vis Commun Image Represent 23:798\u2013811","journal-title":"J Vis Commun Image Represent"},{"key":"3537_CR26","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1016\/j.jss.2012.08.029","volume":"86","author":"ZH Wang","year":"2013","unstructured":"Wang ZH, Lee CF, Chang CY (2013) Histogram-shifting-imitated reversible data hiding. J Syst Softw 86:315\u2013323","journal-title":"J Syst Softw"},{"key":"3537_CR27","first-page":"315","volume":"47","author":"J Wang","year":"2017","unstructured":"Wang J, Ni J, Zhang X, Shi Y (2017) Rate and distortion optimization for reversible data hiding using multiple histogram shifting. IEEE Trans Cybern 47:315\u2013326","journal-title":"IEEE Trans Cybern"},{"key":"3537_CR28","doi-asserted-by":"publisher","first-page":"144","DOI":"10.1016\/j.ins.2016.05.030","volume":"369","author":"SW Weng","year":"2016","unstructured":"Weng SW, Pan JS, Li L (2016) Reversible data hiding based on an adaptive pixel-embedding strategy and two-layer embedding. Inf Sci 369:144\u2013159","journal-title":"Inf Sci"},{"key":"3537_CR29","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1016\/j.jvcir.2017.05.005","volume":"48","author":"SW Weng","year":"2017","unstructured":"Weng SW, Zhang G, Pan JS, Zhou Z (2017) Optimal PPVO-based reversible data hiding. J Vis Commun Image Represent 48:317\u2013328","journal-title":"J Vis Commun Image Represent"},{"key":"3537_CR30","doi-asserted-by":"publisher","first-page":"1171","DOI":"10.1016\/j.imavis.2008.02.007","volume":"26","author":"YG Wu","year":"2008","unstructured":"Wu YG, Wu CH (2008) Image vector quantization codec indices recovery using Lagrange interpolation. Image Vis Comput 26:1171\u20131177","journal-title":"Image Vis Comput"},{"key":"3537_CR31","first-page":"1171","volume":"26","author":"H Wu","year":"2015","unstructured":"Wu H, Dugelay J, Shi Y (2015) Reversible image data hiding with contrast enhancement. IEEE Signal Process Lett 26:1171\u20131177","journal-title":"IEEE Signal Process Lett"},{"key":"3537_CR32","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1049\/iet-ipr.2009.0316","volume":"4","author":"CH Yang","year":"2009","unstructured":"Yang CH, Tsai MH (2009) Improving histogram-based reversible data hiding by interleaving predictions. IET Image Proc 4:223\u2013234","journal-title":"IET Image Proc"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-018-3537-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-018-3537-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-018-3537-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,28]],"date-time":"2019-09-28T19:15:41Z","timestamp":1569698141000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-018-3537-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,9,29]]},"references-count":32,"journal-issue":{"issue":"19","published-print":{"date-parts":[[2019,10]]}},"alternative-id":["3537"],"URL":"https:\/\/doi.org\/10.1007\/s00500-018-3537-7","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,9,29]]},"assertion":[{"value":"29 September 2018","order":1,"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 authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}