| G1 Continuous Condition of B-Spline Surfaces with Double Knots |
| Received:May 28, 2002 |
| Key Words:
B-spline surface patches double knots geometric continuity.
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| Fund Project:973 Foundation of China (G19980306007), National Natural Science Foundation ofChina (G1999014115, 60473108), Outstanding Young Teacher Foundation of Educational Department of China(60073038), Doctoral Program Foundation of Educational Department of China. |
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| Abstract: |
| The conditions for G1 continuity between two adjacent bicubic B-spline surfaces with double interior knots along their common boundary curve are obtained in this paper, which are directly represented by the control points of the two B-spline surfaces. As stated by Shi Xi-quan and Zhao Yan, a local scheme of constructing G1 continuous B-spline surface models with single interior knots does not exist; we may achieve a local scheme of (true) G1 continuity over an arbitrary B-spline surface network using these conditions. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2005.02.004 |
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