{"title":"用切比雪夫多项式提高相位映射的质量","authors":"Y. Kotsiuba, V. Fitio, H. Petrovska, Y. Bobitski","doi":"10.1109/ELIT53502.2021.9501097","DOIUrl":null,"url":null,"abstract":"The possibilities of using Chebyshev orthogonal polynomials for filtering digital interferograms and phase maps in the one-dimensional case of deformation are analyzed. It is proposed to find the coefficients of the decomposition of functions, replacing the integration with the corresponding summation using a certain control factor to eliminate infinity in mathematical expressions. Numerical simulations show that the use of Chebyshev polynomials significantly improves the quality of phase maps.","PeriodicalId":164798,"journal":{"name":"2021 IEEE 12th International Conference on Electronics and Information Technologies (ELIT)","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Improving the Quality of the Phase Maps by Chebyshev Polynomials\",\"authors\":\"Y. Kotsiuba, V. Fitio, H. Petrovska, Y. Bobitski\",\"doi\":\"10.1109/ELIT53502.2021.9501097\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The possibilities of using Chebyshev orthogonal polynomials for filtering digital interferograms and phase maps in the one-dimensional case of deformation are analyzed. It is proposed to find the coefficients of the decomposition of functions, replacing the integration with the corresponding summation using a certain control factor to eliminate infinity in mathematical expressions. Numerical simulations show that the use of Chebyshev polynomials significantly improves the quality of phase maps.\",\"PeriodicalId\":164798,\"journal\":{\"name\":\"2021 IEEE 12th International Conference on Electronics and Information Technologies (ELIT)\",\"volume\":\"44 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-05-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 IEEE 12th International Conference on Electronics and Information Technologies (ELIT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ELIT53502.2021.9501097\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 IEEE 12th International Conference on Electronics and Information Technologies (ELIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ELIT53502.2021.9501097","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Improving the Quality of the Phase Maps by Chebyshev Polynomials
The possibilities of using Chebyshev orthogonal polynomials for filtering digital interferograms and phase maps in the one-dimensional case of deformation are analyzed. It is proposed to find the coefficients of the decomposition of functions, replacing the integration with the corresponding summation using a certain control factor to eliminate infinity in mathematical expressions. Numerical simulations show that the use of Chebyshev polynomials significantly improves the quality of phase maps.