| 基于流曲线曲面的双三次非均匀B样条曲面G1混合 |
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| 作者姓名： | 李秀娟 廖文和 刘浩 何钢 |
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| 作者单位： | 1.南京航空航天大学理学院，南京 210016； ;2.南京航空航天大学机电学院，南京 210016 ; |
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| 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.
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| 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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| Authors: | LI Xiu-Juan LIAO Wen-He LIU Hao He Gang |
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| Institution: | 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 ; |
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| 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. |
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| Keywords: | stream curve and surface surface blending subdivision quaternion |
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