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B样条曲面间G^1连续条件及局部格式构造问题 被引量：2

Research on G^1 Continuity Conditions between B-Spline Surfaces and Construction of Local Scheme
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摘要 研究了内部单节点张量积B样条曲面间G1连续的条件.通过选择特殊类型的拼接函数,打破了公共边界必须是整体多项式曲线的限制,给出了以内部单节点双四次B样条曲面为工具、使用局部格式构造G1连续曲面的算法.最后给出了计算实例. The G^1 continuity conditions between tensor product B-spline surfaces with single interior knots are studied. By means of selecting a special kind of blending functions, we broke the restriction that the common boundary must be a polynomial curve. Then we presented an algorithm to construct a G^1 continuous surface of biquartic B-spline surface patches with single interior knots by carrying out local scheme.
作者 高占恒 梁学章 高福顺 马婷
机构地区 吉林大学数学研究所 北华大学数学系
出处 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2007年第7期866-870,共5页 Journal of Computer-Aided Design & Computer Graphics
基金 国家自然科学基金(60673021)
关键词 B样条曲面 G^1连续 局部格式 B-spline surface G^1 continuity local scheme
分类号 TP391.72 [自动化与计算机技术—计算机应用技术]
  • 相关文献

参考文献6

  • 1Milroy M J,Bradley C,Vickers G W,et al.G^1 continuity of B-spline surface patches in reverse engineering[J].ComputerAided Design,1985,27(6):471-478
  • 2施锡泉,赵岩.双三次B样条曲面的G^1连续条件[J].计算机辅助设计与图形学学报,2002,14(7):676-682. 被引量：25
  • 3Shi Xiquan,Wang Tianjun,Yu Piqiang.A practical construction of G^1 smooth biquintic B-spline surfaces over arbitrary topology[J].Computer-Aided Design,2004,36 (4):413-424
  • 4Shi Xiquan,Yu Piqiang,Wang Tianjun.G^1 continuous conditions of biquartic B-spline surfaces[J].Journal of Computational and Applied Mathematics,2004,144(1/2):251-262
  • 5Che Xiangjiu,Liang Xuezhang,Li Qiang.G^1 continuity conditions of adjacent NURBS surfaces[J].Computer Aided Geometric Design,2005,22(4):285-298
  • 6Zhao Nailiang,Ma Weiyin.Properties of G^1 continuity conditions between two B-spline surfaces[M] //Lecture Notes on Computer Science,Heidelberg:Springer,2006,4035:743-752

二级参考文献4

  • 1L Ma,Q Peng.Smoothing of free-form surfaces with Bézier patches[].Computer Aided Geometric Design.1995
  • 2Farin G.A construction for the visual C1 continuity of polynomial surface patches[].Computer Graphics.1982
  • 3D Liu,J Hoschek.GC1 Continuity conditions between adjacent rectangular and triangular Bézier surface patches[].Computer Aided Design.1989
  • 4Wen-hui Du,Francis J M Schmitt.On the G1 continuity of piecewise Bézier surface: A review with new results[].Computer Aided Design.1990

共引文献24

同被引文献19

  • 1Piegl L, Tiller W. The NURBS book [M]. 2nd ed. New York: Springer, 1997.
  • 2Milroy M J, Bradley C, Vickers G W, etal. G^1 continuity of B-spline surface patches in reverse engineering [ J]. Computer-Aided Design, 1995, 27(6): 471-478.
  • 3Ma W Y, Leung P C, Cheung E H M, et al. Smooth multiple surface fitting for reverse engineering [C] // Proceedings of the 32nd CIRP International Seminar on Manufacturing Systems, Leuven, 1999:53-62.
  • 4Shi X Q, Yu P Q, Wang T J. G1 continuous conditions of biquartic B-spline surfaces [J]. Journal of Computational and Applied Mathematics, 2002, 144(1/2) : 251-262.
  • 5Shi X Q, Wang T J, Wu P R, et al. Reconstruction of convergent G1 smooth B-spline surfaces [J]. Computer Aided Geometric Design, 2004, 21(9): 893-913.
  • 6Shi X Q, Wang T J, Yu P Q. A practical construction of G^1 smooth biquintic B-spline surfaces over arbitrary topology [J]. Computer-Aided Design, 2004, 36(4): 413-424.
  • 7Che X J, Liang X Z, Li Q. G^1 continuity conditions of adjacent NURBS surfaces [J]. Computer Aided Geometric Design, 2005, 22(4): 285-298.
  • 8Zhao N L, Ma W Y. Properties of G^1 continuity conditions between two B-spline surfaces [M] //Lecture Notes in Computer Science. Heidelberg: Springer, 2006, 4035: 743- 752.
  • 9Farin G.Curves and surfaces for computer aided geometric design:A practical guide[M]4th ed.New York:Academic Press,1997:64-306.
  • 10Farouki RT,Szafran N,Biard L.Construction and smoothing of triangular coons patches with geodesic boundary curves[J].Computer Aided Geometric Desgin,2010,27 (4):301-312.

引证文献2

二级引证文献3

计算机辅助设计与图形学学报
2007年 第7期

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