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残缺网格模型的快速B样条曲面重建
引用本文:蒋跃华,陈志杨,陈飞舟,叶修梓,张三元.残缺网格模型的快速B样条曲面重建[J].计算机辅助设计与图形学学报,2007,19(12):1569-1575.
作者姓名:蒋跃华  陈志杨  陈飞舟  叶修梓  张三元
作者单位:1. 浙江大学计算机科学与技术学院,杭州,310027
2. 浙江工业大学软件学院,杭州,310014
3. 杭州新迪数字工程系统有限公司,杭州,310012
基金项目:国家自然科学基金 , 高等学校博士学科点专项科研项目
摘    要:针对残缺的三角网格模型,提出一种将网格模型的散乱数据点转化为有序阵列点再进行B样条曲面快速重建的算法.首先确定最小二乘平面上的一个矩形参数域,再构造出一个平面阵列点列,并部分映射到三维网格上;然后利用空间阵列点的邻域信息估计4个角点的空间坐标,并构造径向基函数曲面,用于补充空间阵列点列中残缺的数据;最后利用有序点列拟合的高效性构造B样条曲面.实验结果表明:该算法速度快、拟合精度高、鲁棒性强,重建的曲面具有良好的光顺性和可延伸性,适用于逆向工程中对经过数据分割后的网格模型的自由曲面重建.

关 键 词:逆向工程  网格  B样条曲面重建  曲面拟合  径向基函数  网格模型  快速  曲面重建  Mesh  Model  Surface  Reconstruction  数据分割  逆向工程  可延伸性  光顺性  鲁棒性  拟合精度  速度  结果  实验  高效性  有序  补充  函数曲面  径向基  构造
收稿时间:2007-04-19
修稿时间:2007-07-24

Rapid B-Spline Surface Reconstruction from a Mesh Model with Holes
Jiang Yuehua,Chen Zhiyang,Chen Feizhou,Ye Xiuzi,Zhang Sanyuan.Rapid B-Spline Surface Reconstruction from a Mesh Model with Holes[J].Journal of Computer-Aided Design & Computer Graphics,2007,19(12):1569-1575.
Authors:Jiang Yuehua  Chen Zhiyang  Chen Feizhou  Ye Xiuzi  Zhang Sanyuan
Abstract:For a triangular mesh model with holes, a rapid B-spline surface reconstruction algorithm is developed by generating regularized grid points from scattered vertex points of the mesh. First, a rectangular parameter region is obtained on the least square plane and planar regularized grid points are constructed. Then most of the planar grid points are mapped back onto the mesh model and the spatial regularized grid points are obtained, where some points in the grid are missed. The neighbor information of the spatial grid points is used to evaluate the positions of the four corner points. Then a radial basis function surface is constructed and used to fill the missing points. Finally, a smooth B-spline surface is fitted to these spatial regularized grid points. The experimental data shows that the presented algorithm is fast, accurate and robust. The reconstructed surface has good smoothness and extensionality. It can be well applied to reconstruct B-spline surface from mesh model after data segmentation in reverse engineering.
Keywords:reverse engineering  mesh  B-spline surface reconstruction  surface fitting  radial basis function
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