{"title":"基于图像重构的雅可比-傅立叶矩研究","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":"{\"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}","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}
A Study of Jacobi-Fourier Moments via Image Reconstruction
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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