{"title":"Generalized orthogonal moment","authors":"Yijian Zhang, Zhou Yuan, Jianwei Yang","doi":"10.1109/CIS52066.2020.00016","DOIUrl":null,"url":null,"abstract":"Recently, several fractional-order orthogonal moments have been proposed. But functions used for the construction of these moments are restricted to fractional-order polynomials. In this paper, orthogonal moments are further generalized to generalized orthogonal moments (GOMs). A general framework is proposed for the construction of functions used in GOMs. Orthogonal polynomials used in traditional orthogonal moments and fractional-order polynomials used in fractional-order orthogonal moments are all special cases of the proposed framework. Properties of the proposed GOMs have been proven. New set of orthogonal moments have also been constructed by choosing several particular functions. Experimental results show the superiority of these moments.","PeriodicalId":106959,"journal":{"name":"2020 16th International Conference on Computational Intelligence and Security (CIS)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 16th International Conference on Computational Intelligence and Security (CIS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CIS52066.2020.00016","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Recently, several fractional-order orthogonal moments have been proposed. But functions used for the construction of these moments are restricted to fractional-order polynomials. In this paper, orthogonal moments are further generalized to generalized orthogonal moments (GOMs). A general framework is proposed for the construction of functions used in GOMs. Orthogonal polynomials used in traditional orthogonal moments and fractional-order polynomials used in fractional-order orthogonal moments are all special cases of the proposed framework. Properties of the proposed GOMs have been proven. New set of orthogonal moments have also been constructed by choosing several particular functions. Experimental results show the superiority of these moments.
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