| 多尺度NURBS曲面间的G1连续算法 |
| |
| 引用本文： | 车翔玖,高占恒,李强.多尺度NURBS曲面间的G1连续算法[J].吉林大学学报(理学版),2009,47(4):656-660. |
| |
| 作者姓名： | 车翔玖 高占恒 李强 |
| |
| 作者单位： | 1. 吉林大学 计算机科学与技术学院, 长春 130012,2. 吉林大学 数学研究所, 长春 130012 |
| |
| 基金项目： | 国家自然科学基金，教育部博士学科点专项科研基金 |
| |
| 摘 要： | 利用准均匀B样条基函数和二维B样条小波的多分辨分析理论, 简述了准均匀B样条基函数作为尺度函数而构造的B样条小波及其分解算法, 并给出了NURBS曲面的分解算法. 基于NURBS曲面(B样条曲面)的G1连续条件及其多尺度表示, 给出了两个多尺度NURBS曲面间保持G1连续的算法与实现过程.
|
| 关 键 词： | B样条小波 多尺度NURBS曲面 G1连续 |
| 收稿时间： | 2008-08-18 |
G~1 Continuity Algorithm for Multi-level NURBS Surfaces |
| |
| CHE Xiang-jiu,GAO Zhan-heng,LI Qiang.G~1 Continuity Algorithm for Multi-level NURBS Surfaces[J].Journal of Jilin University: Sci Ed,2009,47(4):656-660. |
| |
| Authors: | CHE Xiang-jiu GAO Zhan-heng LI Qiang |
| |
| Institution: | 1. College of Computer Science and Technology, Jilin University, Changchun 130012, China;2. Institute of Mathematics, Jilin University, Changchun 130012, China |
| |
| Abstract: | Based on quasi-uniform B-spline basis functions and multi-resolution theory of B-spline wavelets of two dimension, the B-spline wavelets constructed by taking quasi-uniform B-spline basis functions as scaling function as well as its decomposition algorithm are described. Further, the decomposition algorithm for NURBS surface is studied.By making use of G1 conditions for two NURBS surfaces(B-spline surfaces in this paper) and their multi-resolution representations,this paper presents the algorithm for mainta... |
| |
| Keywords: | B-spline wavelet multi-level NURBS surfaces G1 continuity |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
|
