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| 基于流曲线曲面的双三次非均匀B样条曲面G1混合 | |
| 引用本文： | 李秀娟,廖文和,刘浩,何钢. 基于流曲线曲面的双三次非均匀B样条曲面G1混合[J]. 中国科学院研究生院学报, 2008, 25(4): 554-559 |
| 作者姓名： | 李秀娟 廖文和 刘浩 何钢 |
| 作者单位： | 1. 南京航空航天大学理学院,南京,210016;南京航空航天大学机电学院,南京,210016 2. 南京航空航天大学机电学院,南京,210016 |
| 基金项目： | 国防科技应用基础研究基金 |
| 摘 要： | 在流曲线曲面造型方法中，引入非均匀细分，给出了Gaussian球面上非均匀细分的模式和计算方法，以及基于非均匀细分的流曲线曲面生成算法，研究了流曲线曲面和双三次非均匀B样条曲面G1光滑拼接的条件，并给出与两双三次非均匀B样条曲面G1混合的流曲线曲面的构造算法. |
| 关 键 词： | 流曲线曲面 曲面混合 细分 四元数 |
G1 continuity blending between bicubic non-uniform B-spline surfaces with stream curve and surface |
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| LI Xiu-Juan,LIAO Wen-He,LIU Hao,HE Gang. G1 continuity blending between bicubic non-uniform B-spline surfaces with stream curve and surface[J]. Journal of the Graduate School of the Chinese Academy of Sciences, 2008, 25(4): 554-559 | |
| Authors: | LI Xiu-Juan LIAO Wen-He LIU Hao HE Gang |
| Affiliation: | 1 College of Science, Nanjing University of Aeronautics &; Astronautics, Nanjing 210016, China; 2 College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics &; Astronautics, Nanjing 210016, China |
| Abstract: | Non-uniform subdivision is introduced in streamline modeling. Expressions and calculations of non-uniform subdivision are given on Gaussian sphere. The generation approaches of stream curve and surface based on non-uniform subdivision are provided. G1 Continuity conditions between bicubic B-spline surface and stream curve and surface are studied. Furthermore, a construction means to blend bicubic B-spline surfaces with stream curve and surface is presented. |
| Keywords: | stream curve and surface surface blending subdivision quaternion |
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