C1-continuous T-type Coons patches on triangles

doi:10.3778/j.issn.1002-8331.2010.01.051

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (1): 173-176.DOI: 10.3778/j.issn.1002-8331.2010.01.051

• 图形、图像、模式识别 • Previous Articles Next Articles

C¹-continuous T-type Coons patches on triangles

WU Xiao-qin¹，HAN Xu-li²，TANG Yun-mei¹

1.School of Mathematics & Computation Science，Hunan University of Science & Technology，Xiangtan，Hunan 411201，China
2.School of Mathematical Science & Computing Technology，Central South University，Changsha 410083，China

Received:2009-10-15 Revised:2009-11-16 Online:2010-01-01 Published:2010-01-01
Contact: WU Xiao-qin

三角域上C¹连续的T-Coons曲面片

吴晓勤¹，韩旭里²，唐运梅¹

1.湖南科技大学数学与计算科学学院，湖南湘潭 411201
2.中南大学数学科学与计算技术学院，长沙 410083

通讯作者: 吴晓勤

Abstract

Abstract: Two kinds of C¹-continuity Coons patches with shape parameter are constructed by two classes of trigonometric Hermite polynomial functions on triangles.Triangular Coons patches with shape parameter present extensions of the Side-Side method and Side-Vertex method.The shapes of Coons patches depend on shape parameter λ.Changing the value of λ，one can adjust the interior shape of the patches，but doesn’t influence the boundary shape of the patches.At last，examples illustrate the method of constructing surface is very useful for surface design.

Key words: triangular patches, trigonometric hermite polynomial, shape parameter, side－side method, side－vertex method

摘要： 在三角形域上利用两类含形状参数的三角Hermite多项式构造C¹连续的两种形式的带形状参数的Coons曲面片。构造的三角曲面片均含有形状参数λ，调整λ的值，可改变曲面的内部形状，而不影响曲面的边界形状。给定的方法是对通常的边－边法和边－点法的扩展。给出的两个实例显示了方法的有效性。

关键词: 三角曲面片, 三角Hermite多项式, 形状参数, 边－边法, 边－点法

CLC Number:

TP391

WU Xiao-qin¹，HAN Xu-li²，TANG Yun-mei¹. C¹-continuous T-type Coons patches on triangles[J]. Computer Engineering and Applications, 2010, 46(1): 173-176.

吴晓勤¹，韩旭里²，唐运梅¹. 三角域上C¹连续的T-Coons曲面片[J]. 计算机工程与应用, 2010, 46(1): 173-176.

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C¹-continuous T-type Coons patches on triangles

三角域上C¹连续的T-Coons曲面片

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