{"title":"图样的Zhang-Hartley谱的性质","authors":"C. Moraga, J. Poswig","doi":"10.1109/ISMVL.1990.122595","DOIUrl":null,"url":null,"abstract":"A relationship is developed between the 2-D Chrestenson transform and the 2-D Zhang-Hartley transform so that the computation of the Chrestenson spectrum can be reduced to real arithmetic. It is proved that the situation is similar to the well-known 1-D case, apart from some necessary permutations. Moreover, if the original function satisfies a specific decomposition condition, the relationship may be extended from the 1-D case to the 2-D case in a canonical way.<<ETX>>","PeriodicalId":433001,"journal":{"name":"Proceedings of the Twentieth International Symposium on Multiple-Valued Logic","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Properties of the Zhang-Hartley spectrum of patterns\",\"authors\":\"C. Moraga, J. Poswig\",\"doi\":\"10.1109/ISMVL.1990.122595\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A relationship is developed between the 2-D Chrestenson transform and the 2-D Zhang-Hartley transform so that the computation of the Chrestenson spectrum can be reduced to real arithmetic. It is proved that the situation is similar to the well-known 1-D case, apart from some necessary permutations. Moreover, if the original function satisfies a specific decomposition condition, the relationship may be extended from the 1-D case to the 2-D case in a canonical way.<<ETX>>\",\"PeriodicalId\":433001,\"journal\":{\"name\":\"Proceedings of the Twentieth International Symposium on Multiple-Valued Logic\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-05-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Twentieth International Symposium on Multiple-Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.1990.122595\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Twentieth International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.1990.122595","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Properties of the Zhang-Hartley spectrum of patterns
A relationship is developed between the 2-D Chrestenson transform and the 2-D Zhang-Hartley transform so that the computation of the Chrestenson spectrum can be reduced to real arithmetic. It is proved that the situation is similar to the well-known 1-D case, apart from some necessary permutations. Moreover, if the original function satisfies a specific decomposition condition, the relationship may be extended from the 1-D case to the 2-D case in a canonical way.<>