| 均匀B样条1次升降多阶的矩阵表示 |
| |
| 引用本文： | 徐少平,刘小平,李春泉,胡凌燕,杨晓辉.均匀B样条1次升降多阶的矩阵表示[J].江西师范大学学报(自然科学版),2012,0(3):257-262. |
| |
| 作者姓名： | 徐少平 刘小平 李春泉 胡凌燕 杨晓辉 |
| |
| 作者单位： | 南昌大学信息工程学院,江西南昌330031 |
| |
| 基金项目： | 国家自然科学基金(61163023,61175072);江西省自然科学基金(20114BAB211024)资助项目 |
| |
| 摘 要： | 研究了均匀 B 样条曲线的1次升降多阶的矩阵表示,提出了将计算过程表示为多个矩阵连续相乘的形式,矩阵的乘积作为 B 样条升降阶的转换矩阵,得到 B 样条曲线升降阶后的控制顶点矢量可以表示为转换矩阵与原曲线控制顶点矢量乘积的形式.该方法不需要使用节点插入、节点删除和节点优化技术,具有模块化、可扩展性、便于实现等优点
|
| 关 键 词： | 计算机图形学 B 样条 转换矩阵 矩阵表示 |
The Matrix Representation for Multi-Degree Reduction or Elevation of Uniform B-Spline Curves |
| |
| XU Shao-ping,LIU Xiao-ping,LI Chun-quan,HU Lin-yan,YANG Xiao-hui.The Matrix Representation for Multi-Degree Reduction or Elevation of Uniform B-Spline Curves[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2012,0(3):257-262. |
| |
| Authors: | XU Shao-ping LIU Xiao-ping LI Chun-quan HU Lin-yan YANG Xiao-hui |
| |
| Institution: | (School of Information Engineering,Nanchang University,Nanchang Jiangxi 330031,China) |
| |
| Abstract: | Multi-degree elevation and degree reduction of B-Spline curves in a matrix representation was proposed.The control points of the degree elevated or reduced B-Spline curve can be obtained as a product of the transfor-mation matrix and the vector of original control points.The method does not need knots inserting or knots refin-ment.In this way,the process of degree changing of B-spline simply express. |
| |
| Keywords: | computer graphic B-spline transformation matrix matrix representation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《江西师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《江西师范大学学报(自然科学版)》下载免费的PDF全文 |
