{"title":"A Study of Jacobi-Fourier Moments via Image Reconstruction","authors":"Yubing Liang, S. Liao","doi":"10.1109/CCECE47787.2020.9255726","DOIUrl":null,"url":null,"abstract":"In this paper, we have discussed the computational aspects regarding to Jacobi-Fourier moments. A $k$ × $k$ numerical scheme has been applied to improve the computing accuracy of Jacobi-Fourier moments. To verify our proposed method, image reconstructions of the higher orders of Jacobi-Fourier moments have been carried out. The experimental results of reconstructing a testing image sized at 512 × 512 are highly satisfying. We have also conducted a study on image reconstructions from uneven order pairs of Jacobi-Fourier moments, {n, m}, and concluded that the order $n$ and repetition $m$ preserve the circular and radial pattern information of image, respectively.","PeriodicalId":296506,"journal":{"name":"2020 IEEE Canadian Conference on Electrical and Computer Engineering (CCECE)","volume":"136 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 IEEE Canadian Conference on Electrical and Computer Engineering (CCECE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCECE47787.2020.9255726","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we have discussed the computational aspects regarding to Jacobi-Fourier moments. A $k$ × $k$ numerical scheme has been applied to improve the computing accuracy of Jacobi-Fourier moments. To verify our proposed method, image reconstructions of the higher orders of Jacobi-Fourier moments have been carried out. The experimental results of reconstructing a testing image sized at 512 × 512 are highly satisfying. We have also conducted a study on image reconstructions from uneven order pairs of Jacobi-Fourier moments, {n, m}, and concluded that the order $n$ and repetition $m$ preserve the circular and radial pattern information of image, respectively.
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