Representation of Archimedes helix with Bernstein-like basis(阿基米德螺线的拟Bernstein基表示)
讨论了5阶拟Bernstein基表示阿基米德螺线的充要条件，利用这个充要条件可以得到用5阶拟Bernstein基表示的阿基米德螺线的控制顶点，从而可以方便地表示阿基米德螺线，并且有明显的几何意义.利用阿基米德螺线段和圆弧来构造凸轮，实现了凸轮的多边形控制....
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2007-03-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/zjup/1008-9497.2007.34.2.163-167 |
| _version_ | 1797236266858708992 |
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| author | ZHANGRui-kun(张瑞坤) WANGGuo-zhao(汪国昭) |
| author_facet | ZHANGRui-kun(张瑞坤) WANGGuo-zhao(汪国昭) |
| author_sort | ZHANGRui-kun(张瑞坤) |
| collection | DOAJ |
| description | 讨论了5阶拟Bernstein基表示阿基米德螺线的充要条件，利用这个充要条件可以得到用5阶拟Bernstein基表示的阿基米德螺线的控制顶点，从而可以方便地表示阿基米德螺线，并且有明显的几何意义.利用阿基米德螺线段和圆弧来构造凸轮，实现了凸轮的多边形控制. |
| first_indexed | 2024-04-24T17:01:08Z |
| format | Article |
| id | doaj.art-eda1896c10814f4b9d7e26903d9fca36 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T17:01:08Z |
| publishDate | 2007-03-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-eda1896c10814f4b9d7e26903d9fca362024-03-29T01:58:24ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972007-03-01342163167zjup/1008-9497.2007.34.2.163-167Representation of Archimedes helix with Bernstein-like basis(阿基米德螺线的拟Bernstein基表示)ZHANGRui-kun(张瑞坤)0WANGGuo-zhao(汪国昭)1Department of Mathematics, Zhejiang University, Hangzhou 310027, China(浙江大学数学系，浙江 杭州 310027)Department of Mathematics, Zhejiang University, Hangzhou 310027, China(浙江大学数学系，浙江 杭州 310027)讨论了5阶拟Bernstein基表示阿基米德螺线的充要条件，利用这个充要条件可以得到用5阶拟Bernstein基表示的阿基米德螺线的控制顶点，从而可以方便地表示阿基米德螺线，并且有明显的几何意义.利用阿基米德螺线段和圆弧来构造凸轮，实现了凸轮的多边形控制.https://doi.org/zjup/1008-9497.2007.34.2.163-167拟bernstein基拟bezier曲线阿基米德螺线充要条件凸轮 |
| spellingShingle | ZHANGRui-kun(张瑞坤) WANGGuo-zhao(汪国昭) Representation of Archimedes helix with Bernstein-like basis(阿基米德螺线的拟Bernstein基表示) Zhejiang Daxue xuebao. Lixue ban 拟bernstein基 拟bezier曲线 阿基米德螺线 充要条件 凸轮 |
| title | Representation of Archimedes helix with Bernstein-like basis(阿基米德螺线的拟Bernstein基表示) |
| title_full | Representation of Archimedes helix with Bernstein-like basis(阿基米德螺线的拟Bernstein基表示) |
| title_fullStr | Representation of Archimedes helix with Bernstein-like basis(阿基米德螺线的拟Bernstein基表示) |
| title_full_unstemmed | Representation of Archimedes helix with Bernstein-like basis(阿基米德螺线的拟Bernstein基表示) |
| title_short | Representation of Archimedes helix with Bernstein-like basis(阿基米德螺线的拟Bernstein基表示) |
| title_sort | representation of archimedes helix with bernstein like basis 阿基米德螺线的拟bernstein基表示 |
| topic | 拟bernstein基 拟bezier曲线 阿基米德螺线 充要条件 凸轮 |
| url | https://doi.org/zjup/1008-9497.2007.34.2.163-167 |
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