{"title":"用于图像能量的线性滤波器","authors":"Jian-ao Lian","doi":"10.1109/MWSCAS.2019.8885178","DOIUrl":null,"url":null,"abstract":"Four families of new matrix linear filters are established and being used for the approximation to directional derivatives. These filters are also used for representations of image energy, which, in turn, are used for representing image edges. The first three families are for approximations of first order directional derivatives, while the fourth family is for the approximations to the second order directional derivatives. Examples are demonstrated.","PeriodicalId":287815,"journal":{"name":"2019 IEEE 62nd International Midwest Symposium on Circuits and Systems (MWSCAS)","volume":"10 2","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Linear Filters for Image Energy\",\"authors\":\"Jian-ao Lian\",\"doi\":\"10.1109/MWSCAS.2019.8885178\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Four families of new matrix linear filters are established and being used for the approximation to directional derivatives. These filters are also used for representations of image energy, which, in turn, are used for representing image edges. The first three families are for approximations of first order directional derivatives, while the fourth family is for the approximations to the second order directional derivatives. Examples are demonstrated.\",\"PeriodicalId\":287815,\"journal\":{\"name\":\"2019 IEEE 62nd International Midwest Symposium on Circuits and Systems (MWSCAS)\",\"volume\":\"10 2\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 IEEE 62nd International Midwest Symposium on Circuits and Systems (MWSCAS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MWSCAS.2019.8885178\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 IEEE 62nd International Midwest Symposium on Circuits and Systems (MWSCAS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MWSCAS.2019.8885178","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Four families of new matrix linear filters are established and being used for the approximation to directional derivatives. These filters are also used for representations of image energy, which, in turn, are used for representing image edges. The first three families are for approximations of first order directional derivatives, while the fourth family is for the approximations to the second order directional derivatives. Examples are demonstrated.