G1 continuity blending between bicubic non-uniform B-spline surfaces with stream curve and surface

LI Xiu-Juan; LIAO Wen-He; LIU Hao; He Gang

doi:10.7523/j.issn.2095-6134.2008.4.018

Journal of University of Chinese Academy of Sciences >

2008 , Vol. 25 >Issue 4: 554 - 559

DOI: https://doi.org/10.7523/j.issn.2095-6134.2008.4.018

论文

G¹continuity blending between bicubic non-uniform B-spline surfaces with stream curve and surface

LI Xiu-Juan ,
LIAO Wen-He ,
LIU Hao ,
He Gang

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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

Received date: 1900-01-01

Revised date: 1900-01-01

Online published: 2008-07-15

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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.

Key words： stream curve and surface; surface blending; subdivision; quaternion

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LI Xiu-Juan , LIAO Wen-He , LIU Hao , He Gang . G¹continuity blending between bicubic non-uniform B-spline surfaces with stream curve and surface[J]. Journal of University of Chinese Academy of Sciences, 2008 , 25(4) : 554 -559 . DOI: 10.7523/j.issn.2095-6134.2008.4.018

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