{"title":"三次bsamizier螺旋段用于平面G2曲线设计","authors":"D. Walton, D. Meek","doi":"10.1145/1811158.1811162","DOIUrl":null,"url":null,"abstract":"In curve design it is often desirable to match G2 Hermite data with a pair of spirals. An existing method addresses this problem using cubics by first requiring the joint to be placed, and then matching tangents at the joint. It is now shown that an alternative method of first matching tangents, which then determine an interval along a line for placement of the joint, is more convenient and requires less computation.","PeriodicalId":325699,"journal":{"name":"International Conference on Computer Graphics, Virtual Reality, Visualisation and Interaction in Africa","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Cubic Bézier spiral segments for planar G2 curve design\",\"authors\":\"D. Walton, D. Meek\",\"doi\":\"10.1145/1811158.1811162\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In curve design it is often desirable to match G2 Hermite data with a pair of spirals. An existing method addresses this problem using cubics by first requiring the joint to be placed, and then matching tangents at the joint. It is now shown that an alternative method of first matching tangents, which then determine an interval along a line for placement of the joint, is more convenient and requires less computation.\",\"PeriodicalId\":325699,\"journal\":{\"name\":\"International Conference on Computer Graphics, Virtual Reality, Visualisation and Interaction in Africa\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-06-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Conference on Computer Graphics, Virtual Reality, Visualisation and Interaction in Africa\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/1811158.1811162\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Conference on Computer Graphics, Virtual Reality, Visualisation and Interaction in Africa","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/1811158.1811162","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Cubic Bézier spiral segments for planar G2 curve design
In curve design it is often desirable to match G2 Hermite data with a pair of spirals. An existing method addresses this problem using cubics by first requiring the joint to be placed, and then matching tangents at the joint. It is now shown that an alternative method of first matching tangents, which then determine an interval along a line for placement of the joint, is more convenient and requires less computation.
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