{"title":"花边曲线","authors":"Daniela Velichová","doi":"10.24840/2184-4933_2018-0034_0006","DOIUrl":null,"url":null,"abstract":"Two families of lace curves generated as partial Minkowski sum or product of pairs of curves in Euclidean 3D-space are presented in this paper. Some of their basic geometric properties are derived from the properties of Minkowski operation basic components. Illustrations of various interesting shapes resulting from the combinations of simple curve segments are included.","PeriodicalId":358710,"journal":{"name":"Boletim da Aproged","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"LACE CURVES\",\"authors\":\"Daniela Velichová\",\"doi\":\"10.24840/2184-4933_2018-0034_0006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Two families of lace curves generated as partial Minkowski sum or product of pairs of curves in Euclidean 3D-space are presented in this paper. Some of their basic geometric properties are derived from the properties of Minkowski operation basic components. Illustrations of various interesting shapes resulting from the combinations of simple curve segments are included.\",\"PeriodicalId\":358710,\"journal\":{\"name\":\"Boletim da Aproged\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Boletim da Aproged\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24840/2184-4933_2018-0034_0006\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Boletim da Aproged","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24840/2184-4933_2018-0034_0006","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Two families of lace curves generated as partial Minkowski sum or product of pairs of curves in Euclidean 3D-space are presented in this paper. Some of their basic geometric properties are derived from the properties of Minkowski operation basic components. Illustrations of various interesting shapes resulting from the combinations of simple curve segments are included.
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