{"title":"广义二维傅里叶-梅林变换与模式识别","authors":"V. Sharma","doi":"10.1109/ICETET.2010.137","DOIUrl":null,"url":null,"abstract":"Due to shift form invariant property of Fourier-Mellin transform, it is frequently used in number of problems as pattern recognition, image restoration, computer data protection etc. In this paper two-dimensional Fourier-Mellin transform is extended in the distributional generalized sense. Analyticity theorem for distributional Fourier-Mellin transform is proved. Some operators on its dual spaces are also discussed.","PeriodicalId":175615,"journal":{"name":"2010 3rd International Conference on Emerging Trends in Engineering and Technology","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Generalized Two-Dimensional Fourier-Mellin Transform and Pattern Recognition\",\"authors\":\"V. Sharma\",\"doi\":\"10.1109/ICETET.2010.137\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Due to shift form invariant property of Fourier-Mellin transform, it is frequently used in number of problems as pattern recognition, image restoration, computer data protection etc. In this paper two-dimensional Fourier-Mellin transform is extended in the distributional generalized sense. Analyticity theorem for distributional Fourier-Mellin transform is proved. Some operators on its dual spaces are also discussed.\",\"PeriodicalId\":175615,\"journal\":{\"name\":\"2010 3rd International Conference on Emerging Trends in Engineering and Technology\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-11-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 3rd International Conference on Emerging Trends in Engineering and Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICETET.2010.137\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 3rd International Conference on Emerging Trends in Engineering and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICETET.2010.137","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalized Two-Dimensional Fourier-Mellin Transform and Pattern Recognition
Due to shift form invariant property of Fourier-Mellin transform, it is frequently used in number of problems as pattern recognition, image restoration, computer data protection etc. In this paper two-dimensional Fourier-Mellin transform is extended in the distributional generalized sense. Analyticity theorem for distributional Fourier-Mellin transform is proved. Some operators on its dual spaces are also discussed.