| 点到隐式曲面的正交投影计算 |
| |
| 引用本文： | 徐海银,方雄兵,胡利安.点到隐式曲面的正交投影计算[J].计算机辅助设计与图形学学报,2008,20(12). |
| |
| 作者姓名： | 徐海银 方雄兵 胡利安 |
| |
| 作者单位： | 1. 华中科技大学计算机科学与技术学院,武汉,430074;The Media School, Bournemouth University, Poole, Dorset BH12 5BB United Kingdom
2. 华中科技大学计算机科学与技术学院,武汉,430074 |
| |
| 基金项目： | 湖北省科技攻关项目
，
湖北省国际科技合作重点项目
|
| |
| 摘 要： | 针对点到隐式曲面的正交投影问题,提出一种稳定的几何迭代算法.首先构造初始点处的一条特殊的法截线,并给出沿着该法截线追踪投影点的二阶泰勒迭代方法;然后将给定点向初始点处的法截线的曲率圆作投影,提出基于曲率的步长控制策略,在此基础上给出了基于梯度的迭代误差矫正方法.仿真结果表明,该算法具有良好的收敛性、鲁棒性以及精确性.
|
| 关 键 词： | 正交投影 隐式曲面 法截面 法截线 曲率圆 步长 |
Computing Point Orthogonal Projections onto Implicit Surfaces |
| |
| Xu Haiyin,Fang Xiongbing,Hu Lian.Computing Point Orthogonal Projections onto Implicit Surfaces[J].Journal of Computer-Aided Design & Computer Graphics,2008,20(12). |
| |
| Authors: | Xu Haiyin Fang Xiongbing Hu Lian |
| |
| Affiliation: | Xu Haiyin1,2) Fang Xiongbing1) Hu Li'an1)1)(School of Computer Science & Technology,Huazhong University of Science & Technology,Wuhan 430074)2)(The Media School,Bournemouth University,Poole,Dorset BH12 5BB United Kingdom) |
| |
| Abstract: | A geometric iteration algorithm for projecting a point onto an implicit surface is presented.First,a special normal transversal at the initial point is constructed and a second-order Taylor's algorithm is used to trace the projections along the aforementioned normal transversal.A curvature based method for controlling iteration step is further proposed by projecting the given point onto the curvature circle of the normal transversal at the initial point.Finally gradient based method for correcting iteration... |
| |
| Keywords: | orthogonal projection implicit surface normal section normal transversal curvature circle step |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
