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Volume 34, Issue 4
Planar Cardinal Spline Curves with Minimum Strain Energy

Juncheng Li

DOI: 10.13447/j.1674-5647.2018.04.05

Commun. Math. Res., 34 (2018), pp. 329-334.

Published online: 2019-12

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65D07, 65D05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

lijuncheng82@126.com (Juncheng Li)

  • BibTex
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  • TXT
@Article{CMR-34-329, author = {Li , Juncheng}, title = {Planar Cardinal Spline Curves with Minimum Strain Energy}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {34}, number = {4}, pages = {329--334}, 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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.04.05}, url = {http://global-sci.org/intro/article_detail/cmr/13515.html} }
TY - JOUR T1 - Planar Cardinal Spline Curves with Minimum Strain Energy AU - Li , Juncheng JO - Communications in Mathematical Research VL - 4 SP - 329 EP - 334 PY - 2019 DA - 2019/12 SN - 34 DO - http://doi.org/10.13447/j.1674-5647.2018.04.05 UR - https://global-sci.org/intro/article_detail/cmr/13515.html KW - Cardinal spline, Catmull-Rom spline, minimization, strain energy, fair curve AB -

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.

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