{"title":"基于Minkowski加法的凸多边形反射对称测度的高效计算","authors":"A. Tuzikov, G. Margolin, H. Heijmans","doi":"10.1109/ICPR.1996.546824","DOIUrl":null,"url":null,"abstract":"This paper introduces a reflection symmetry measure for convex polygons based on Minkowski addition. An interesting property of this measure is that it can be computed in O(k/sup 3/) time, where k is the number of edges of the polygon. The proposed algorithm as well as the symmetry measure computation uses the perimetric measure representation of convex polygons.","PeriodicalId":290297,"journal":{"name":"Proceedings of 13th International Conference on Pattern Recognition","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Efficient computation of a reflection symmetry measure for convex polygons based on Minkowski addition\",\"authors\":\"A. Tuzikov, G. Margolin, H. Heijmans\",\"doi\":\"10.1109/ICPR.1996.546824\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper introduces a reflection symmetry measure for convex polygons based on Minkowski addition. An interesting property of this measure is that it can be computed in O(k/sup 3/) time, where k is the number of edges of the polygon. The proposed algorithm as well as the symmetry measure computation uses the perimetric measure representation of convex polygons.\",\"PeriodicalId\":290297,\"journal\":{\"name\":\"Proceedings of 13th International Conference on Pattern Recognition\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-08-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 13th International Conference on Pattern Recognition\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICPR.1996.546824\",\"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 13th International Conference on Pattern Recognition","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICPR.1996.546824","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Efficient computation of a reflection symmetry measure for convex polygons based on Minkowski addition
This paper introduces a reflection symmetry measure for convex polygons based on Minkowski addition. An interesting property of this measure is that it can be computed in O(k/sup 3/) time, where k is the number of edges of the polygon. The proposed algorithm as well as the symmetry measure computation uses the perimetric measure representation of convex polygons.