| 曲线曲面的B3样条拟合 |
| |
| 引用本文： | 王洁宁,黄毓瑜.曲线曲面的B3样条拟合[J].工程图学学报,1992(2):26-34. |
| |
| 作者姓名： | 王洁宁 黄毓瑜 |
| |
| 作者单位： | 北京航空航天大学
(王洁宁)，北京航空航天大学(黄毓瑜) |
| |
| 摘 要： | 本文介绍了一种新的曲线曲面的生成方法——B3样条拟合。给出了B3样条曲线(面)的概念、核函数及其数学表达式,并论述了两种B3样条曲线(面)的计算机生成方法——通常的矩阵计算法和特殊的查表法。分析了用B3样条进行曲线(面)形状控制时的几种情况。并指出B3样条不仅保留了B样条曲线C~2连续性,而且点点通过型值点,因而提供了一种直观形象的,有很多实际应用价值的曲线(面)设计方法。
|
| 关 键 词： | 曲线 曲面 CAD 图形 样条函数 |
B3-SPLINE FITTING FOR CURVES & SURFACES |
| |
| Wang Jiening,Huang Yuyu Beijing University of Aeronautics and Astronautics.B3-SPLINE FITTING FOR CURVES & SURFACES[J].Journal of Engineering Graphics,1992(2):26-34. |
| |
| Authors: | Wang Jiening Huang Yuyu Beijing University of Aeronautics and Astronautics |
| |
| Affiliation: | Wang Jiening;Huang Yuyu Beijing University of Aeronautics and Astronautics |
| |
| Abstract: | A new approach for generating curves & surfaces,B3-spline fitting,is introduced.After de-
scribing simply the advantages & disadvantages of some methods for curves fitting,the paper pro-
vides the concepts,kernal Functions and mathematic expressions of B3-spline curves(surfaces).
Two approaches for creating curves(surfaces),general calculation with matrices and special look-
ing up tables,are illustrated.Also,some cases for shape control of B3-spline curves(surfaces)are
analysized.The practical merits of B3-spline curves(surfaces)are expounded finally. |
| |
| Keywords: | B-spline B3-spline curve fitting shape control |
| 本文献已被 CNKI 维普 等数据库收录！ |
