基于二次曲面的点云数据三维重构  

Three dimensional reconstruction of point cloud data based on quadratic surface

作　　者：李耀辉[1] 武志峰[1] 宣兆成[1] 

机构地区：[1]天津职业技术师范大学信息技术工程学院,天津300222

出　　处：《天津职业技术师范大学学报》2015年第4期5-9,共5页Journal of Tianjin University of Technology and Education

基　　金：天津市科技支撑计划项目(14ZLZLZF00031);天津职业技术师范大学科研发展基金项目(KJY12-09);天津职业技术师范大学留学回国基金项目(RC14-50)

摘　　要：针对传统三维重构依赖三角网格且难于有效分割含缺陷的点云数据的问题,将点云数据的三维重构转化为曲面片的光滑拼接问题。本文定义一个二次曲面片的模板方程并采用待定系数法构造曲面片,利用结式方法实现不同曲面片的光滑拼接使三维造型光滑逼真。为了克服二次曲面不易作图的缺点,讨论了采用一次平面方程近似处理的方法。该方法可得到曲面片以及拼接曲面的解析表达式,具体重构时直接代入点云数据即可得到相应的方程,具有高效实用的特点。As to the problem that traditional 3D reconstruction relies on triangular mesh and it is difficult to effectively seg- ment the point cloud data with defects, the 3D reconstruction of point cloud data is transformed to the smooth blending of curved surface. A quadratic surface patches template equation is defined and the undetermined coefficient method is used to construct the surface, the resultant method is used to realize smooth connection of different patches, which can make 3D modeling smooth and realistic, and overcome the problem that it is not easy to draw the quadratic surface. The ways how to use a plane equation approximation method are discussed. The method can analyze surface and blending expressions, and the specific reconstruction for the point cloud data can be obtained by corresponding equations. The method has high effi- cient and practical features.

关 键 词：三维重构 点云数据 曲面拼接 结式 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]