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Constructing Planar C1 Cubic Hermite Interpolation Curves Via Approximate Energy Minimization

     

摘要

The methods for constructing planar C1 cubic Hermite interpolation curves via approximate energy minimization are studied.The main purpose of the proposed methods are to obtain the optimal tangent vectors of the C1 cubic Hermite interpolation curves.By minimizing the appropriate approximate functions of the strain energy,the curvature variation energy and the combined energy,the linear equation systems for solving the optimal tangent vectors are obtained.It is found that there is no unique solution for the minimization of approximate curvature variation energy minimization,while there is unique solution for the minimization of approximate strain energy and the minimization of approximate combination energy because the coefficient matrix of the equation system is strictly diagonally dominant.Some examples are provided to illustrate the effectiveness of the proposed method in constructing planar C1 cubic Hermite interpolation curves.

著录项

  • 来源
    《数学研究及应用》|2019年第4期|433-440|共8页
  • 作者

    Juncheng LI;

  • 作者单位

    College of Mathematics and Finance, Hunan University of Humanities,Science and Technology, Hunan 417000, P.R.China;

  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

  • 入库时间 2023-07-25 22:30:11

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