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基于遗传优化算法的曲线光顺的研究 被引量:3

Study on Curve Fairing Based on Genetic Optimal Algorithm
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摘要 研究了在光栅矢量化后的光顺问题。在传统光顺算法的基础上 ,提出了以曲线曲率极值的均方差作为衡量曲线光顺的指标之一。在光顺计算中 ,引入了遗传优化算法 ,增加了计算的自动程度以及客观性。在优化中 ,提出了优于传统罚函数法的模糊罚函数法 ,将模糊集合理论和遗传算法有机地结合起来 ,以获得目标函数地全局解。计算结果表明 ,采用本方法 。 The curve fairing after raster curve has been vectorized is researched in this paper. On the basis of traditional fairing algorithm, the curvature extremum of curve is used as one of the indices judging the curve fairing. In calculation,a genetic optimization is introduced to improve the automation and objectivity of the calculation. In addition, the fuzzy punish function superior to the traditional punish function is presented so that the fuzzy theory and genetic algorithm can be combined to get the global solutions of the objective function. The calculation results show that the curve is smoothed well through the ways presented in this paper.
出处 《中国机械工程》 EI CAS CSCD 北大核心 2002年第3期217-220,共4页 China Mechanical Engineering
关键词 曲线光顺 均方差 遗传算法 光栅矢量化 优化设计 CAD CAM curve fairing mean square deviation curvature optimization genetic algorithm
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参考文献2

  • 1[1]Janet F Plokakoff. An Improved Algorithm for Automatic Fairing of Non-uniform Parametric Cubic Splines.Computer Aided Design,1996,28(1):59~66
  • 2[2]Lee E T Y.Choosing Nodes in Parametric Curve Interpolation.Computer Aided Design,1989,21(6):363~370

同被引文献21

  • 1Qu,R.and Agarwal.Smooth surface interpolation to scattered data using interpolatory subdivision algorithms[J].Computers and Mathematical Application 2003,32(3):393-450.
  • 2Ingolf Grieger.Geometry cells and surface definition by finite elements[J].CAGD,1985,2(3):213-222.
  • 3U.Clarenz,U.Diewald,G.Dziuk,et al.A finite element method for surface restoration with smooth boundary conditions[J].CAGD,2004,21(5):727-749.
  • 4Kenji Shimada and David C.Gossard.Automatic triangular mesh generation of trimmed parametric surfaces for finite element analysis[J].CAGD,1998,15(3):199-222.
  • 5Robert Schneiders and Rolf Bünten.Automatic generation of hexahedral finite element meshes[J].CAGD,1995,12(7):693-707.
  • 6Chung-chi Hsieh and Tang-Yu Chang.Motion fairing using genetic algorithms[J].CAD,2003,35(8):739-749.
  • 7Ingolf Grieger , Geometry cells and surface definition by finite elements[J] , CAGD, 1985(2) :213 - 222.
  • 8U. Clarenz, U. Diewald, G Dziuk, M Rumpf A finite element method for surface restoration with smooth boundary conditions[J] ,CAGD,2004,21 (5).727 - 749.
  • 9Kenji Shimada and David C. Gossard, Automatic triangular mesh generation of trimmed parametric surfaces for finite element analysis[J], CAGD, 1998,15(3) :199 - 222.
  • 10Robert Schneiders and Rolf Bünten, Automatic generation of hexahedral finite element meshes [ J ] , CAGD, 1995,12, (7): 693 - 707.

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