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CAGD中的隐式曲线与曲面 被引量:5

IMPLICIT CURVES AND SURFACES IN CAGD
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摘要 In this paper, we review some recent developments on the study of implicitly defined curves and surfaces in the field of computer aided geometric design(CAGD), includ-ing mainly the research on the problems of parametrization, regularity and splines of algebraic curves and surfaces. In this paper, we review some recent developments on the study of implicitly defined curves and surfaces in the field of computer aided geometric design(CAGD), includ-ing mainly the research on the problems of parametrization, regularity and splines of algebraic curves and surfaces.
作者 徐国良
出处 《数值计算与计算机应用》 CSCD 北大核心 1997年第2期114-124,共11页 Journal on Numerical Methods and Computer Applications
基金 国家自然科学基金!19671081
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参考文献6

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同被引文献27

  • 1吴宗敏,刘剑平.关于隐函数样条的凸性分析[J].数学的实践与认识,1993,23(2):41-47. 被引量:1
  • 2吴坚,张接信,蔡宗琰.用短线截交法绘制隐式曲线[J].机械科学与技术,2006,25(8):965-966. 被引量:1
  • 3彭丰富,韩旭里.一类G^2连续分段四次代数样条[J].计算机辅助设计与图形学学报,2006,18(9):1420-1425. 被引量:5
  • 4赵伟,赵卓宁,李五生.一种有效的离散数据场等值线生成方法[J].成都信息工程学院学报,2007,22(1):116-121. 被引量:9
  • 5Paluszny M,Patterson R KGeometric control of G2-cubic a-spline[J]. Computer Aided Geometric Design, 1998,15(3) : 161-187.
  • 6Bajaj C,Xu G.A-splines:Local interpolation and approximation using Ck -continuous piecewise real algebraic curves [C]//Computer Science Technical Report,Purdue University,1992:92-144.
  • 7Bajaj C,Xu G.Data fitting with cubic a-spline[C]//Gigante M,Kunii T.Proceedings of Computer Graphics International, CGI'94, World Scientific Publishing Co,Melbourne,Australia, 1996.
  • 8Bajaj C,Xu G.A-splines:Local interpolation and approximation using Ck-continuous piecewise real algebraic curves [J].Computer Aided Geometric Design, 1999,16(6) :557-578.
  • 9Paluszny M,Patterson R R.Geometric control of G2-cubic A-spline[J]. Computer Aided Geometric Design, 1998,15(3) : 161-287.
  • 10Paluszny ill,Patterson R R.Curvature continuous cubic algebraic splines[C]//Proc of SPIE,Curves & Surfaces in Computer Vision and Graphics III, 1992,1830:48-57.

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