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

doi:10.7523/j.issn.2095-6134.2008.4.018

›› 2008, Vol. 25 ›› Issue (4): 554-559.DOI: 10.7523/j.issn.2095-6134.2008.4.018

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

LI Xiu-Juan^{1, 2} LIAO Wen-He² LIU Hao² He Gang²

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:1900-01-01 Revised:1900-01-01 Online:2008-07-15

Abstract

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

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]. , 2008, 25(4): 554-559.

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

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