Realization of Geometry Constraints in Deformable B-spline Curve Modeling

ZHAO Lu-fang; Cheng Si-yuan; Luo Shao-ming; ZHANG Xiang-wei

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Realization of Geometry Constraints in Deformable B-spline Curve Modeling

更新时间：2026-05-27

- Realization of Geometry Constraints in Deformable B-spline Curve Modeling
- Vol. 23, Issue 3, Pages: 77-80(2006)
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- Online First：02 June 2006，
  
  Published：2006
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赵璐芳, 成思源, 骆少明, 张湘伟. 几何约束条件在变形B样条曲线造型中的实现[J]. 广东工业大学学报, 2006, 23(3): 77-80.

ZHAO Lu-fang, Cheng Si-yuan, Luo Shao-ming, et al. Realization of Geometry Constraints in Deformable B-spline Curve Modeling[J]. 2006, 23(3): 77-80.
赵璐芳, 成思源, 骆少明, 张湘伟. 几何约束条件在变形B样条曲线造型中的实现[J]. 广东工业大学学报, 2006, 23(3): 77-80. DOI：

ZHAO Lu-fang, Cheng Si-yuan, Luo Shao-ming, et al. Realization of Geometry Constraints in Deformable B-spline Curve Modeling[J]. 2006, 23(3): 77-80. DOI：

摘要

针对在基于物理变形的B样条曲线造型中施加几何约束的问题

提出了基于自由度转换的解决方法.对于特定的线性几何约束条件

得到施加约束后的变形B样条曲线的有限元方程

并通过对约束条件下的初始自由度进行转换

将有限元方程转换为自由度减少后的无约束方程进行求解.对常见的几何约束进行了应用分析

从应用实例上看

该方法取得了良好的效果.

Abstract

In order to solve the problem of B-spline curve modeling based on physically deforming with geometry constraints

a method of freedom degree transformation is presented.For certain geometry constraints

by transforming the constrained degrees of freedom

the solution of the reduced unconstrained degrees of freedom finite element is obtained.Examples are presented to show the efficiency of this method.

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references

殷金祥,陈关龙. 几何约束条件在小波曲线曲面造型技术中的实现[J]. 机械工程学报. 2004(08)

经玲,席平,唐荣锡. 应用可变形模型进行曲线曲面光顺[J]. 软件学报. 1998(06)

经玲,席平,唐荣锡. 有限元方法在变形曲线曲面造型中的应用[J]. 计算机学报. 1998(03)

朱心雄等著.自由曲线曲面造型技术[M]. 科学出版社, 2000

史荣昌编著.矩阵分析[M]. 北京理工大学出版社, 1996

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