| 基于无网格局部Petrov-Galerkin法的曲面修复算法 |
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| 引用本文： | 吴雪梅,李瑰贤,赵伟民,郭峰.基于无网格局部Petrov-Galerkin法的曲面修复算法[J].机械工程学报,2009,45(1). |
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| 作者姓名： | 吴雪梅 李瑰贤 赵伟民 郭峰 |
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| 作者单位： | 1. 哈尔滨工业大学机电工程学院,哈尔滨,150001
2. 大庆石油学院机械工程系,大庆,163318 |
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| 基金项目： | 黑龙江省国际合作项目，黑龙江省科技攻关项目，黑龙江省自然科学基金，高等学校学科创新引智计划 |
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| 摘 要： | 针对三维残缺数据曲面重构的困难,提出残缺点云或有孔洞网格曲面数据修复的新算法,该方法通过拟合进行曲面重构,大大减小了边界节点误差的影响;同时采用基于板壳理论的无网格法,使孔洞曲面修复更光滑,尤其可以更真实地修补出锻压制造的薄板零件.首先应用移动最小二乘法插值对残缺点云进行边界提取,然后给出逐层节点布置算法,最后应用基于最小势能原理的无网格法进行曲面修复,并将通常无网格法中积分圆域改进为多边形域.编写相应程序,经简单二次曲面缺损网格修补验证算法的有效性,结果分析表明误差很小,曲面修复结果理想.为进一步证明算法实用性,对实际薄壳产品的孔洞进行算法应用,修补效果理想.
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| 关 键 词： | 三维残缺数据 孔洞修补 移动最小二乘法 无网格局部Petrov-Galerkin法 |
Surface Repairing Strategy Based on Meshless Local Petrov-Galerkin Method |
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| WU Xuemei,LI Guixian,ZHAO Weimin,GUO Feng.Surface Repairing Strategy Based on Meshless Local Petrov-Galerkin Method[J].Chinese Journal of Mechanical Engineering,2009,45(1). |
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| Authors: | WU Xuemei LI Guixian ZHAO Weimin GUO Feng |
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| Affiliation: | WU Xuemei~1 LI Guixian~1 ZHAO Weimin~2 GUO Feng~1 1.School of Mechanical , Electrical Engineering,Harbin Institute of Technology,Harbin 150001,2.Department of Mechanical Engineering,Daqing Petroleum University,Daqing 163318 |
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| Abstract: | In view of the difficulty in surfaces reconstruction from 3D incomplete data,an innovative holes repairing algorithm for triangle mesh or incomplete points data is put forward:Meshless Local Petrov-Galerkin(MLPG) method is employed.Moving least square method (MLSM) is applied for boundary extraction of incomplete points cloud.The algorithm of layer-by-layer nodal arrangement is proposed.3D incomplete data repairing strategy is proposed based on least energy principle and MLPG method. Corresponding computer ... |
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| Keywords: | 3D incomplete data Hole-filling Moving least square method Meshless local Petrov-Galerkin method |
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