|
|||||
|
|
| 完备正交V-系统与点云数据拟合 | |
| 引用本文： | 梁延研,宋瑞霞,齐东旭.完备正交V-系统与点云数据拟合[J].系统仿真学报,2006,18(8):2109-2113. |
| 作者姓名： | 梁延研 宋瑞霞 齐东旭 |
| 作者单位： | 1. 澳门科技大学资讯科技学院,澳门 2. 北方工业大学理学院,北京,100041 3. 澳门科技大学资讯科技学院,澳门;中山大学信息科学学院,广州,510275 |
| 基金项目： | 国家重点基础研究发展计划(973计划);国家自然科学基金;北京市教委科技发展计划项目 |
| 摘 要： | 提出了对点云数据进行曲面拟合的一种新方法,它基于一类L20,1]上完备正交的函数系(称之为V-系统)。V-系统由分段多项式组成,它包括各个层次的间断函数,具有多分辨分析特性和局部性。给出了k次V-系统(k=0,1,2,3)的具体表达式;利用有限项Fourier-V级数展开式,高效地生成点云数据显示的被测量对象的几何造型。检测例子表明,这种方法对很广泛遇到的一类问题而言,处理过程简单、速度快、精度高。 |
| 关 键 词： | 完备正交函数系 点云 V-系统 多小波 |
| 文章编号： | 1004-731X（2006）08-2109-05 |
| 收稿时间： | 2005-10-21 |
| 修稿时间： | 2006-04-26 |
Complete Orthogonal Function System V and Points cloud Fitting |
|
| LIANG Yan-yan,SONG Rui-xia,QI Dong-xu.Complete Orthogonal Function System V and Points cloud Fitting[J].Journal of System Simulation,2006,18(8):2109-2113. | |
| Authors: | LIANG Yan-yan SONG Rui-xia QI Dong-xu |
| Institution: | 1 .Faculty of Information Technology, Macao University of Science and Tech., Macau, China; 2.College of Sciences, North China University of Tech., Beijing 100041, China; 3.College of Information Sciences, SUN YAT-SEN University, Guangzhou 510275, China |
| Abstract: | A novel approach to points cloud fitting was given.The work is based on a class of complete orthogonal k-degree polynomials in L20,1](called V-system).V-system which is composed of piecewise polynomials including every degree polynomials has advantageous properties of multi-resolution analysis and local.The expression of k-degree(k = 0,1,2,3) V-system was given,which effectively generated geometrical sculpt from surveying object displayed of points cloud by using limited number items of Fourier-V progression.The experimentations indicate that this approach has simple processing,fast calculating and high precision for some ordinary project. |
| Keywords: | complete orthogonal function system points cloud V-system multi-wavelet |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |