三次bsamizier螺旋段用于平面G2曲线设计

International Conference on Computer Graphics, Virtual Reality, Visualisation and Interaction in Africa Pub Date : 2010-06-21 DOI:10.1145/1811158.1811162

D. Walton, D. Meek

{"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}

引用次数: 11

摘要

在曲线设计中，通常需要将G2埃尔米特数据与一对螺旋相匹配。现有的一种方法是使用立方体来解决这个问题，首先要求放置关节，然后匹配关节处的切线。现在显示了一种替代方法，首先匹配切线，然后确定沿直线的间隔，以放置关节，更方便，需要更少的计算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

International Conference on Computer Graphics, Virtual Reality, Visualisation and Interaction in Africa

自引率

0.00%

发文量