Quadratic Rational Trigonometric Spline Curves with Shape Controlling

Authors

Xinru Liu, 1. School of Mathematics and Statistics, Central South University, Changsha 410083, China;;2. Institute of Engineering Modeling and Scientific Computing, Central South University, Changsha 410083, China;
Manman Wei, 1. School of Mathematics and Statistics, Central South University, Changsha 410083, China;;
Shengjun Liu, 1. School of Mathematics and Statistics, Central South University, Changsha 410083, China;;2. Institute of Engineering Modeling and Scientific Computing, Central South University, Changsha 410083, China;
Dangfu Yang, 1. School of Mathematics and Statistics, Central South University, Changsha 410083, China;;

Abstract

Abstract: A new quadratic rational trigonometric spline curve with a shape parameter was proposed. The value control and the inflection-point control of the interpolation scheme were discussed in theory. And the optimal methods for calculating the desired inflection-points was proposed, by using optimization theory. Numerical experiments show the interpolation spline and the optimization method can be used in modeling design.

Recommended Citation

Liu, Xinru; Wei, Manman; Liu, Shengjun; and Yang, Dangfu (2020) "Quadratic Rational Trigonometric Spline Curves with Shape Controlling," Journal of System Simulation: Vol. 28: Iss. 10, Article 16.
Available at: https://dc-china-simulation.researchcommons.org/journal/vol28/iss10/16

First Page

2400

Revised Date

2016-07-19

DOI Link

https://doi.org/

Last Page

2406

CLC

TP391.9

Recommended Citation

Liu Xinru, Wei Manman, Liu Shengjun, Yang Dangfu. Quadratic Rational Trigonometric Spline Curves with Shape Controlling[J]. Journal of System Simulation, 2016, 28(10): 2400-2406.

Corresponding Author

Shengjun Liu,