Planar Cardinal Spline Curves with Minimum Strain Energy

Authors

  • Juncheng Li College of Mathematics and Finance, Hunan University of Humanities, Science and Technology, Loudi, Hunan, 417000

DOI:

https://doi.org/10.13447/j.1674-5647.2018.04.05

Keywords:

Cardinal spline, Catmull-Rom spline, minimization, strain energy, fair curve

Abstract

In this paper, we focus on how to use strain energy minimization to obtain the optimal value of the free parameter of the planar Cardinal spline curves. The unique solution can be easily obtained by minimizing an appropriate approximation of the strain energy. An example is presented to illustrate the effectiveness of our method.

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Published

2019-12-16

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Issue

Vol. 34 No. 4 (2018)

Section

Articles

How to Cite

Planar Cardinal Spline Curves with Minimum Strain Energy. (2019). Communications in Mathematical Research, 34(4), 329-334. https://doi.org/10.13447/j.1674-5647.2018.04.05