反求工程中离散曲率估算方法  

Discrete curvature estimation in reverse engineering

作　　者：刘鹏鑫[1] 王扬[1] 刘璇[2] 

机构地区：[1]哈尔滨工业大学机电工程学院,哈尔滨150001 [2]上海海洋大学工程学院,上海201306

出　　处：《吉林大学学报（工学版）》2011年第2期479-483,共5页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金项目(50675053)

摘　　要：提出了一种新的对三角网格模型和散乱点数据都适用的曲率估算方法。该算法识别了Meyer的三角网格模型离散曲率估算方法中估算异常的区域,以异常区域内的每个顶点的2环邻域作为k邻域,采用加权的局部抛物面拟合法对异常区域曲率进行了估算。通过构建局部三角剖分,把算法扩展应用到了散乱点数据。实验结果表明,本文算法受三角网格形状影响较小,有一定的抑噪能力,能有效地识别曲面的基本特征。The curvature is an important geometric attributes of the surface and the discrete curvature estimation is a basic step of the modeling in the reverse engineering. A novel discrete curvature estimation algorithm was proposed which can be used both for the triangular mesh model and the scattered point data. The algorithm identifies the potential anomalous estimation regions of the Meyer discrete curvature estimation method based on the triangular mesh model. Choosing the 2-ring neighborhoods of the vertex in anomalous regions as the k-neighborhood, using the weighted local paraboloid fitting to estimate the curvatures in the anomalous region. The algorithm was extended to the scattered point data by constructing the local triangular meshing. The experimental results show that the proposed algorithm can effectively identify the basic features of the surface and is not sensitive to the shape of the triangular mesh, can surpress the noise to a certain extent.

关 键 词：计算机应用 反求工程 离散曲率 三角网格模型 散乱点数据 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]