| 隐式T样条实现封闭曲面重建 |
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| 引用本文： | 唐月红,李秀娟,程泽铭,钱明凤.隐式T样条实现封闭曲面重建[J].计算机辅助设计与图形学学报,2011,23(2). |
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| 作者姓名： | 唐月红 李秀娟 程泽铭 钱明凤 |
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| 作者单位： | 南京航空航天大学数学系,南京,210016 |
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| 基金项目： | 国家自然科学基金(10772082); 南京航空航天大学创新基金(Y0706-82) |
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| 摘 要： | 为了简化法向偏差约束条件和优化光滑能量项,提出一种隐式T样条曲面重建算法.首先利用八叉树及其细分过程从采样点集构造三维T网格,以确定每个控制系数对应的混合函数;然后基于隐式T样条曲面建立目标函数,利用偏移曲面点集控制法向,采用广义交叉检验(GCV)方法估计最优光滑项系数,并依据最优化原理将该问题转化为线性方程组求解得到控制系数,从而实现三角网格曲面到光滑曲面的重建.在误差较大的区域插入控制系数进行T网格局部修正,使得重建曲面达到指定精度.该算法使重建曲面C1连续条件得到松弛,同时给出最优的光顺项系数估计,较好地解决了封闭曲面的重建问题.实例结果表明,文中算法逼近精度高,运算速度快,仿真结果逼真.
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| 关 键 词： | 曲面重建 隐式曲面 T样条 三维T网格 广义交叉检验(GCV) |
Closed Surface Reconstruction Based on Implicit T-Splines |
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| Tang Yuehong,Li Xiujuan,Cheng Zeming,Qian Mingfeng.Closed Surface Reconstruction Based on Implicit T-Splines[J].Journal of Computer-Aided Design & Computer Graphics,2011,23(2). |
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| Authors: | Tang Yuehong Li Xiujuan Cheng Zeming Qian Mingfeng |
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| Affiliation: | Tang Yuehong,Li Xiujuan,Cheng Zeming,and Qian Mingfeng(Department Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 210016) |
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| Abstract: | To simplify the normal deviation constraint and optimize the smooth energy parameter of objective function,an implicit T-splines surface reconstruction algorithm is proposed.First,three dimensional T-meshes are constructed from the sample point set by using the octrees and subdivision process.And the corresponding blending function of each control coefficient is determined from the topology of three dimensional T-meshes.Then the objective function is established based on the implicit T-spline surfaces.The n... |
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| Keywords: | surface reconstruction implicit surfaces T-splines 3D T-meshes generalized cross validation(GCV) |
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