摘要
为了后续曲面重构的需要,针对有孔洞的点云数据,提出了一种孔洞拟合填充的自适应方法。由于孔洞与其周围离散点有一定的连续性,该算法首先从孔洞周围已有的点云数据中选取离散点,用新的参数化方法对得到的离散点参数化后,用最小二乘法进行自适应曲面拟合,对得到的拟合曲面通过迭代法逐步逼近优化,考虑曲率变化的影响在曲面上取点,实现了孔洞光滑填充。实例表明,改进的参数化方法使算法的复杂度减低,进一步迭代优化提高了曲面拟合精度,在面上取点时考虑了曲率变化,因此该方法可以应用于具有复杂曲面形状的点云中的孔洞填充。
In order to complete the surface construction,an adaptive fitting approach was presen- ted to fill the holes in the point cloud.Since there is certain continuity between the hole and its sur- rounding points,the points in the initial point cloud were choosed around the hole in this algorithm.A new parameterized method was applied to these points,after surface fitting using the least squares method adaptively ,then an iterative method was implemented.As getting points on the surface con- sidering the curvature variation,the 3D points can fill the hole smoothly and successfully.Feasibility of such an approach has been tested on some examples and it is shown that the improved parameterized method can reduce the complexity ,the iterative optimization method can enhance the fitting accuracy and eventually getting points on the surface considering the curvature variation,so this method can be used to the point cloud with complicated surface shape.
出处
《中国机械工程》
EI
CAS
CSCD
北大核心
2006年第S2期270-274,共5页
China Mechanical Engineering
关键词
曲面重构
自适应
点云
曲面拟合
最小二乘法
迭代法
曲率
surface construction
adaptive
point cloud
surface fitting
least squares method
iteratire method
curvature
