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光滑拼接2个二次曲面的算法 被引量:4

An Algorithm of Blending Two Quadratic Algebraic Surfaces
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摘要 用代数几何方法讨论2个二次代数曲面的拼接问题.得到二次GC0和三次GC1拼接曲面的存在条件及相应拼接曲面的表达式.此方法为构造性的,计算量小,所获得的拼接曲面是最低次数的. The present paper deals with the blending of two quadratic algebraic surfaces by means of algebraic geometry. The paper gives obtain some conditions for the existence of GC0 quadrics and cubic GC1 blending surfaces, and the corresponding constructive formulas of blending surfaces. The blending surface formulas for all possible solutions obtained are of the lower degree, constructive and less computational complexity.
作者 张巨贤 于凯
出处 《吉林大学自然科学学报》 CAS CSCD 1998年第3期27-37,共11页 Acta Scientiarum Naturalium Universitatis Jilinensis
关键词 多项式 代数曲面 拼接曲面 光滑拼接 算法 polynomial, algebraic surface, blending surface
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参考文献2

  • 1Wu Tieru,Proceedings of the ASCM. Tokyo: Scientists Incorporated,1995年,125页
  • 2Wu Wentsun,MM-Res Preprints,1993年,10期,1页

同被引文献22

  • 1吴文俊,王定康.CAGD中代数曲面拟合问题[J].数学的实践与认识,1994,24(3):26-31. 被引量:19
  • 2ZHOU Yunshi,WU Tieru.Blending algebraic surfaces of lowest degree[J].Proceedings of the ASCM,1995:125-131.
  • 3FENG Guochen,WU Tieru,YU Kai,et al.Blending several implicit algebraic surface with ruled surface[J].AMS/IP,Studies in Advanced Mathematics,2003,34:89-111.
  • 4WARREN J.Blending algebraic surfaces[J].ACM Tran.on Graph,1989,8(4):263-278.
  • 5WU Wentsun.On surface-fitting problem in CAGD[J].MM-Res.Prepprints,1993,10:1-11.
  • 6WU Wentsun,WANG Dingkang.On surface-fitting problem in CAGD[J].Mathemtics in Practice and Theory,1994,3:26-31.
  • 7J. warren. Blending Algebraic Surfaces[J]. ACM Tran. On Graph, 1989,8(4): 263-278.
  • 8Wu Wen-tsun. On surface-fitting problem in CAGD[J]. MM-Res, Prepprints,1993,(10):1-11.
  • 9T. Garrity, J. Warren. On computing the intersection of a pair of algebraic surfaces[J]. CAGD, 1989,(6):137-153.
  • 10Wu Tie-ru,Gao Wei-guo,Feng Guo-chen. Blending of implicit algebraic surfaces[M]. Proceedings of the ASCM, 1995,:125-131.

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