{"title":"八角形$C_{4}C_{8}(S)$网格中顶点的组合坐标系","authors":"Lidija Comic","doi":"10.1109/ISPA52656.2021.9552147","DOIUrl":null,"url":null,"abstract":"We define a new integer-valued combinatorial coordinate system for the vertices in the octagonal C4C8(S) grid. We review the existing coordinate systems proposed in the literature and provide formulas for the conversion between our and existing coordinate systems, as well as with Cartesian coordinates. The neighborhood relation between vertices can be obtained through arithmetic operations on vertex coordinates.","PeriodicalId":131088,"journal":{"name":"2021 12th International Symposium on Image and Signal Processing and Analysis (ISPA)","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A Combinatorial Coordinate System for the Vertices in the Octagonal $C_{4}C_{8}(S)$ Grid\",\"authors\":\"Lidija Comic\",\"doi\":\"10.1109/ISPA52656.2021.9552147\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We define a new integer-valued combinatorial coordinate system for the vertices in the octagonal C4C8(S) grid. We review the existing coordinate systems proposed in the literature and provide formulas for the conversion between our and existing coordinate systems, as well as with Cartesian coordinates. The neighborhood relation between vertices can be obtained through arithmetic operations on vertex coordinates.\",\"PeriodicalId\":131088,\"journal\":{\"name\":\"2021 12th International Symposium on Image and Signal Processing and Analysis (ISPA)\",\"volume\":\"20 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-09-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 12th International Symposium on Image and Signal Processing and Analysis (ISPA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISPA52656.2021.9552147\",\"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 12th International Symposium on Image and Signal Processing and Analysis (ISPA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISPA52656.2021.9552147","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Combinatorial Coordinate System for the Vertices in the Octagonal $C_{4}C_{8}(S)$ Grid
We define a new integer-valued combinatorial coordinate system for the vertices in the octagonal C4C8(S) grid. We review the existing coordinate systems proposed in the literature and provide formulas for the conversion between our and existing coordinate systems, as well as with Cartesian coordinates. The neighborhood relation between vertices can be obtained through arithmetic operations on vertex coordinates.