{"title":"Isometric transformations of the dual of the hexagonal lattice","authors":"B. Nagy","doi":"10.1109/ISPA.2009.5297709","DOIUrl":null,"url":null,"abstract":"Transformations of the used grid are basics of several algorithms of image processing and computer graphics. In this paper isometrical transformations on a hexagonal grid are provided, the vertices of the hexagonal grid are used in our grid as points. Simple transformations are widely used in square and cubic grids, where the space is described by independent coordinate values. Translations, rotations and mirror images of the grid are described mathematically using a symmetric coordinate system with 0 and 1 sum values.","PeriodicalId":382753,"journal":{"name":"2009 Proceedings of 6th International Symposium on Image and Signal Processing and Analysis","volume":"87 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"29","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 Proceedings of 6th International Symposium on Image and Signal Processing and Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISPA.2009.5297709","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 29
Abstract
Transformations of the used grid are basics of several algorithms of image processing and computer graphics. In this paper isometrical transformations on a hexagonal grid are provided, the vertices of the hexagonal grid are used in our grid as points. Simple transformations are widely used in square and cubic grids, where the space is described by independent coordinate values. Translations, rotations and mirror images of the grid are described mathematically using a symmetric coordinate system with 0 and 1 sum values.
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