具有简单G3条件的可调曲线曲面(Adjustable curves and surfaces with simple G3 conditions)
In order to make curves and surfaces have adjustable shape and simple G3 conditions,a kind of EI functions is defined recursively. Based on them, we construct EI curves and surfaces,which have the most properties of Bézier curves and surfaces. Owe to the particularity of EI functions EI curves and s...
| Main Authors: | , |
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2016-01-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2016.01.015 |
| _version_ | 1797235798494412800 |
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| author | YANLanlan(严兰兰) YINGZhengwei(应正卫) |
| author_facet | YANLanlan(严兰兰) YINGZhengwei(应正卫) |
| author_sort | YANLanlan(严兰兰) |
| collection | DOAJ |
| description | In order to make curves and surfaces have adjustable shape and simple G3 conditions,a kind of EI functions is defined recursively. Based on them, we construct EI curves and surfaces,which have the most properties of Bézier curves and surfaces. Owe to the particularity of EI functions EI curves and surfaces possess two distinct advantages. (1)They have shape control parameter; (2)Their G3 conditions are just the G1 conditions for usual Bézier curves and surfaces. For a given set of points,in order to generate automatically smooth composite curves and surfaces, another kind of MI functions is defined based on EI functions. The MI curves and surfaces defined by MI functions also enjoy adjustable shape, simple continuity conditions. According to the continuity conditions, we have defined the composite MI curves and surfaces by a special way. With no need for any constraints, they can naturally achieve smooth connection. |
| first_indexed | 2024-04-24T16:53:41Z |
| format | Article |
| id | doaj.art-5441069505854a37882ef56a01eb825c |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:53:41Z |
| publishDate | 2016-01-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-5441069505854a37882ef56a01eb825c2024-03-29T01:58:35ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972016-01-01431879610.3785/j.issn.1008-9497.2016.01.015具有简单G3条件的可调曲线曲面(Adjustable curves and surfaces with simple G3 conditions)YANLanlan(严兰兰)0YINGZhengwei(应正卫)1(College of Science,East China Institute of Technology, Nanchang 330013, China)(College of Science,East China Institute of Technology, Nanchang 330013, China)In order to make curves and surfaces have adjustable shape and simple G3 conditions,a kind of EI functions is defined recursively. Based on them, we construct EI curves and surfaces,which have the most properties of Bézier curves and surfaces. Owe to the particularity of EI functions EI curves and surfaces possess two distinct advantages. (1)They have shape control parameter; (2)Their G3 conditions are just the G1 conditions for usual Bézier curves and surfaces. For a given set of points,in order to generate automatically smooth composite curves and surfaces, another kind of MI functions is defined based on EI functions. The MI curves and surfaces defined by MI functions also enjoy adjustable shape, simple continuity conditions. According to the continuity conditions, we have defined the composite MI curves and surfaces by a special way. With no need for any constraints, they can naturally achieve smooth connection.https://doi.org/10.3785/j.issn.1008-9497.2016.01.015geometric modelingshape parametercomposite curve and surfacecontinuity |
| spellingShingle | YANLanlan(严兰兰) YINGZhengwei(应正卫) 具有简单G3条件的可调曲线曲面(Adjustable curves and surfaces with simple G3 conditions) Zhejiang Daxue xuebao. Lixue ban geometric modeling shape parameter composite curve and surface continuity |
| title | 具有简单G3条件的可调曲线曲面(Adjustable curves and surfaces with simple G3 conditions) |
| title_full | 具有简单G3条件的可调曲线曲面(Adjustable curves and surfaces with simple G3 conditions) |
| title_fullStr | 具有简单G3条件的可调曲线曲面(Adjustable curves and surfaces with simple G3 conditions) |
| title_full_unstemmed | 具有简单G3条件的可调曲线曲面(Adjustable curves and surfaces with simple G3 conditions) |
| title_short | 具有简单G3条件的可调曲线曲面(Adjustable curves and surfaces with simple G3 conditions) |
| title_sort | 具有简单g3条件的可调曲线曲面 adjustable curves and surfaces with simple g3 conditions |
| topic | geometric modeling shape parameter composite curve and surface continuity |
| url | https://doi.org/10.3785/j.issn.1008-9497.2016.01.015 |
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