{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,16]],"date-time":"2026-05-16T02:47:58Z","timestamp":1778899678836,"version":"3.51.4"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2014,3,15]],"date-time":"2014-03-15T00:00:00Z","timestamp":1394841600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Mach. Learn. & Cyber."],"published-print":{"date-parts":[[2015,2]]},"DOI":"10.1007\/s13042-014-0247-z","type":"journal-article","created":{"date-parts":[[2014,3,18]],"date-time":"2014-03-18T03:05:05Z","timestamp":1395111905000},"page":"35-41","source":"Crossref","is-referenced-by-count":11,"title":["Image enhancement based on fractional directional derivative"],"prefix":"10.1007","volume":"6","author":[{"given":"Chaobang","family":"Gao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiliu","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chang","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qiang","family":"Pu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,3,15]]},"reference":[{"key":"247_CR1","volume-title":"Fractional calculus: theory and applications differentiation and integration to arbitrary order","author":"KB Oldham","year":"1974","unstructured":"Oldham KB, Spanier J (1974) Fractional calculus: theory and applications differentiation and integration to arbitrary order. Academic Press, New York"},{"key":"247_CR2","doi-asserted-by":"crossref","unstructured":"Sabatier J, Agrawal OP, Tenreiro Machado JA (2007) Advances in fractional calculus: theoretical developments and applications in physics and engineering. Springer, New York","DOI":"10.1007\/978-1-4020-6042-7"},{"issue":"4","key":"247_CR3","doi-asserted-by":"crossref","first-page":"554","DOI":"10.1109\/8.489308","volume":"44","author":"N Engheta","year":"1996","unstructured":"Engheta N (1996) On fractional calculus and fractional multipoles in electromagnetism. IEEE Trans Antennas Propag 44(4):554\u2013566","journal-title":"IEEE Trans Antennas Propag"},{"key":"247_CR4","first-page":"177","volume":"5","author":"A Oustaloup","year":"1998","unstructured":"Oustaloup A, Sabatier J, Moreau X (1998) From fractal robustness to the CRONE approach. ESAIM Proc Fractional Diff Syst Models Methods Appl 5:177\u2013192","journal-title":"ESAIM Proc Fractional Diff Syst Models Methods Appl"},{"issue":"3","key":"247_CR5","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1049\/iet-ipr.2009.0409","volume":"5","author":"CB Gao","year":"2011","unstructured":"Gao CB, Zhou JL, Hu JR, Lang FN (2011) Edge detection of color image based on quaternion fractional differential. IET Image Process 5(3):261\u2013272","journal-title":"IET Image Process"},{"issue":"2","key":"247_CR6","doi-asserted-by":"crossref","first-page":"150","DOI":"10.3724\/SP.J.1004.2011.00150","volume":"37","author":"C Gao","year":"2011","unstructured":"Gao C, Zhou J (2011) Image enhancement based on quaternion fractional directional differentiation. ACTA Autom Sinica 37(2):150\u2013159","journal-title":"ACTA Autom Sinica"},{"issue":"1","key":"247_CR7","first-page":"257","volume":"7","author":"C Gao","year":"2011","unstructured":"Gao C, Zhou J, Zheng X, Lang F (2011) Image enhancement based on improved fractional differentiation. J Comput Inf Syst 7(1):257\u2013264","journal-title":"J Comput Inf Syst"},{"key":"247_CR8","doi-asserted-by":"crossref","first-page":"2421","DOI":"10.1016\/S0165-1684(03)00194-4","volume":"83","author":"B Mathieu","year":"2003","unstructured":"Mathieu B, Melchior P, Oustaloup A, Ceyral Ch (2003) Fractional differentiation for edge detection. Signal Process 83:2421\u20132432","journal-title":"Signal Process"},{"key":"247_CR9","unstructured":"Sparavigna AC (2009) Fractional differentiation based image processing. Computer vision and pattern recognition (cs.CV). arXiv:0910.2381v2"},{"key":"247_CR10","unstructured":"Sparavigna AC, Milligan P (2009) Using fractional differentiation in astronomy. Instrumentation and methods for astrophysics (astro-ph.IM) 2009. arXiv:0910.4243"},{"key":"247_CR11","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1109\/81.989172","volume":"49","author":"YQ Chen","year":"2002","unstructured":"Chen YQ, Moore KL (2002) Discretization schemes for fractional-order differentiators and integrators. IEEE Trans Circuits Syst I Fundam Theory Appl 49:363\u2013367","journal-title":"IEEE Trans Circuits Syst I Fundam Theory Appl"},{"key":"247_CR12","doi-asserted-by":"crossref","unstructured":"Mathieu B, Melchior P, Oustaloup A, Ceyral Ch (2003) Fractional differentiation for edge detection. Signal Process 83:2421C2432","DOI":"10.1016\/S0165-1684(03)00194-4"},{"key":"247_CR13","doi-asserted-by":"crossref","first-page":"1319","DOI":"10.1007\/s11432-008-0098-x","volume":"51","author":"YF Pu","year":"2008","unstructured":"Pu YF, Wang WX, Zhou JL, Wang YY, Jia HD (2008) Fractional differential approach to detecting textural features of digital image and its fractional differential filter implementation. Sci China Ser F Inf Sci 51:1319\u20131339","journal-title":"Sci China Ser F Inf Sci"},{"key":"247_CR14","unstructured":"Pu Y (2007) Application of fractional differential approach to digital image processing. J Sichuan Univ (Engineering Science Edition) 39:124\u2013132"},{"key":"247_CR15","doi-asserted-by":"crossref","unstructured":"Gao C, Zhou J, Zhang W (2012) Fractional directional differentiation and its application for multiscale texture enhancement. Math Probl Eng 2012:1\u201326 (Article ID 325785)","DOI":"10.1155\/2012\/325785"},{"issue":"4","key":"247_CR16","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1007\/s13042-012-0101-0","volume":"4","author":"Gongping Yang","year":"2013","unstructured":"Yang Gongping, Pang Shaohua, Yin Yilong, Li Yanan, Li Xuzhou (2013) SIFT based iris recognition with normalization and enhancement. Int J Mach Learn Cybern 4(4):401\u2013407","journal-title":"Int J Mach Learn Cybern"},{"issue":"4","key":"247_CR17","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1007\/s13042-011-0060-x","volume":"3","author":"Xu Xiang","year":"2012","unstructured":"Xiang Xu, Liu Wanquan, Venkatesh Svetha (2012) An innovative face image enhancement based on principle component analysis. Int J Mach Learn Cybernet 3(4):259\u2013267","journal-title":"Int J Mach Learn Cybernet"},{"key":"247_CR18","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1109\/ICIP.1994.413616","volume":"2","author":"A Vanzo","year":"1994","unstructured":"Vanzo A, Ramponi G, Sicaranza G (1994) An image enhancement technique using polynomial filters. IEEE Int Conf Image Process 2:477\u2013481","journal-title":"IEEE Int Conf Image Process"},{"key":"247_CR19","doi-asserted-by":"crossref","unstructured":"Shannon CE (2001) A mathematical theory of communication. ACM SIGMOBILE Mobile Comput Commun Rev 5(1). doi: 10.1145\/584091.584093","DOI":"10.1145\/584091.584093"},{"issue":"7","key":"247_CR20","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1016\/0167-8655(93)90107-O","volume":"14","author":"AM Groenewald","year":"1993","unstructured":"Groenewald AM, Barnard E, Botha EC (1993) Related approaches to gradient-based thresholding. Pattern Recognit Lett 14(7):567\u2013572","journal-title":"Pattern Recognit Lett"},{"issue":"19","key":"247_CR21","doi-asserted-by":"crossref","first-page":"4230","DOI":"10.1016\/j.ins.2011.06.002","volume":"181","author":"Xizhao Wang","year":"2011","unstructured":"Wang Xizhao, He Yulin, Dong Lingcai, Zhao Huanyu (2011) Particle swarm optimization for determining fuzzy measures from data. Inf Sci 181(19):4230\u20134252","journal-title":"Inf Sci"},{"key":"247_CR22","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/j.neucom.2005.05.006","volume":"68","author":"Xizhao Wang","year":"2005","unstructured":"Wang Xizhao, He Qiang, Chen Degang, Yeung Daniel (2005) A genetic algorithm for solving the inverse problem of support vector machines. Neurocomputing 68:225\u2013238","journal-title":"Neurocomputing"}],"container-title":["International Journal of Machine Learning and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-014-0247-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13042-014-0247-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-014-0247-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,8]],"date-time":"2019-08-08T14:51:35Z","timestamp":1565275895000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13042-014-0247-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,3,15]]},"references-count":22,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,2]]}},"alternative-id":["247"],"URL":"https:\/\/doi.org\/10.1007\/s13042-014-0247-z","relation":{},"ISSN":["1868-8071","1868-808X"],"issn-type":[{"value":"1868-8071","type":"print"},{"value":"1868-808X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,3,15]]}}}