{"title":"平面正交网格上的拓扑结构","authors":"R. Klette","doi":"10.1109/ICPR.2002.1048312","DOIUrl":null,"url":null,"abstract":"Reviews two different topological spaces for the orthogonal planar grid, the Alexandroff-Hopf and the Wyse topology. We show isomorphy and homeomorphy between different spaces which are used or applicable in image analysis.","PeriodicalId":159502,"journal":{"name":"Object recognition supported by user interaction for service robots","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"Topologies on the planar orthogonal grid\",\"authors\":\"R. Klette\",\"doi\":\"10.1109/ICPR.2002.1048312\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Reviews two different topological spaces for the orthogonal planar grid, the Alexandroff-Hopf and the Wyse topology. We show isomorphy and homeomorphy between different spaces which are used or applicable in image analysis.\",\"PeriodicalId\":159502,\"journal\":{\"name\":\"Object recognition supported by user interaction for service robots\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2002-12-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Object recognition supported by user interaction for service robots\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICPR.2002.1048312\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Object recognition supported by user interaction for service robots","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICPR.2002.1048312","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Reviews two different topological spaces for the orthogonal planar grid, the Alexandroff-Hopf and the Wyse topology. We show isomorphy and homeomorphy between different spaces which are used or applicable in image analysis.