基于微分流形的隐式曲面重建  

Implicit surface reconstruction based on differential manifold

作　　者：李瑞[1] 韩燮[1] 韩慧妍[1] 

机构地区：[1]中北大学计算机与控制工程学院,山西太原030051

出　　处：《计算机工程与设计》2016年第1期185-188,200,共5页Computer Engineering and Design

基　　金：国家自然科学基金项目(61379080);国家科技支撑计划基金项目(2013BAH45F02)

摘　　要：为提高大规模散乱点云重建的效率和精度,提出一种基于微分流形的隐式曲面重建算法。根据点云曲率提取控制顶点,拟合与控制网格拓扑同胚的微分流形;在微分流形上为控制顶点建立基函数,归一化基函数得到微分流形上的单位分解,复合单位分解与控制顶点得到隐式曲面;在局部交叠空间对隐式曲面进行光滑拼接,得到最终模型。实验结果表明,该算法适用于任意拓扑的曲面重建,具有较高的精度和效率。To improve the efficiency and precision of large scattered point cloud reconstruction,an implicit surface reconstruction algorithm based on differential manifold was presented.Control vertices were extracted according to the curvature of point cloud.Differential manifolds which were topologically homeomorphic with the control mesh were fitted,basis function for control vertices on differential manifolds was established,basis functions were normalized to obtain the differential manifold decomposition unit,unit decomposition and control vertices were composited to get implicit surfaces.The implicit surface in partial overlap was blended spatially to get the complete surface model.Experimental results show that the algorithm is applicable to any topology surface reconstruction,and it has high precision and efficiency.

关 键 词：点云重建 曲率 微分流形 隐式曲面 光滑拼接 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]