Planar Cardinal Spline Curves with Minimum Strain Energy

Planar Cardinal Spline Curves with Minimum Strain Energy

Year:    2018

Author:    Juncheng Li

Communications in Mathematical Research , Vol. 34 (2018), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Communications in Mathematical Research , Vol. 34 (2018), Iss. 4 : pp. 329–334

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Cardinal spline Catmull-Rom spline minimization strain energy fair curve

Author Details

Juncheng Li