| 带形状参数的TC-Coons曲面 |
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| 引用本文： | 邹倩,韩旭里.带形状参数的TC-Coons曲面[J].计算机工程与科学,2019,41(7):1220-1226. |
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| 作者姓名： | 邹倩 韩旭里 |
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| 作者单位： | 淮北师范大学信息学院,安徽 淮北 235000;中南大学数学与统计学院,湖南 长沙 410083;淮北师范大学信息学院,安徽 淮北 235000;中南大学数学与统计学院,湖南 长沙 410083 |
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| 基金项目： | 国家自然科学基金（11771453）；安徽省自然科学基金（KJ2017A849） |
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| 摘 要： | 为了能够灵活地调控双三次Coons曲面的形状，对双三次Coons曲面进行改进，构造了一组由4个含形状参数λ的函数组成的三角混合函数组，称之为TC-Hermite基。TC-Hermite基具有端点性质、对形状参数λ的单调性、形状可调性等性质，基于TC-Hermite基，构造了一种新的带形状参数的Coons曲面，并称之为TC-Coons曲面。TC-Coons曲面不仅可以通过形状参数调整其形状，而且还可以精确表示球面、圆环面等二次曲面。另外还讨论了TC Coons曲面片在几何造型方面的应用。
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| 关 键 词： | TC-Hermite基 TC-Coons曲面 形状参数 形状调整 |
| 收稿时间： | 2018-08-24 |
| 修稿时间： | 2019-07-25 |
TC-Coons patch with shape parameters |
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| ZOU Qian,HAN Xu li.TC-Coons patch with shape parameters[J].Computer Engineering & Science,2019,41(7):1220-1226. |
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| Authors: | ZOU Qian HAN Xu li |
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| Affiliation: | （1.College of Information,Huaibei Normal University,Huaibei 235000;
2.School of Mathematics and Statistics,Central South University,Changsha 410083,China） |
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| Abstract: | In order to flexibly control the shape of the bi-cubic Coons patch and improve the bi cubic Coons patch, we construct a triangular mixing function group consisting of four functions with shape parameter λ, named TC-Hermite basis. The TC-Hermite basis has properties of endpoints, monotonicity of parameter λ, adjustability of shape etc.. Based on the TC-Hermite basis, we also construct a new Coons patch with shape parameters, called TC-Coons patch. The TC-Coons patch not only adjusts its shape through shape parameters, but also accurately represents quadratic surfaces, such as sphere and torus. Furthermore, the application of the TC-Coons patch in geometric modeling is also discussed. |
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| Keywords: | TC-Hermite basis TC-Coons patch shape parameter shape adjustment |
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