Three-point Subdivision Scheme with Multi-parameters for Reproducing Conic Splines

Authors

Huanxi Zhao, 1. School of Computer & Information Engineering, Xiamen University of Technology, Xiamen 361024, China;;2. School of Information Science & Engineering, Central South University, Changsha 410083, China;
Qiu Xia, 1. School of Computer & Information Engineering, Xiamen University of Technology, Xiamen 361024, China;;2. School of Information Science & Engineering, Central South University, Changsha 410083, China;

Abstract

Abstract: A non-static and non-stationary three-point subdivision schemes with three parameters was proposed to generate piecewise C1 rational quadratic Bezier spline curves. In particular, for special values of the tension parameters, the proposed scheme will be capable of reproducing all conic sections exactly and conic spline curve. In addition, the proposed subdivision scheme is approximation-type, but the limit curve generated by such scheme interpolates the initial control points, and by selecting the appropriate parameters, the proposed scheme is circle-preserving, line-preserving, cusp-preserving. Numerical examples show that the proposed subdivision scheme has a strong modeling capability.

Recommended Citation

Zhao, Huanxi and Xia, Qiu (2020) "Three-point Subdivision Scheme with Multi-parameters for Reproducing Conic Splines," Journal of System Simulation: Vol. 29: Iss. 11, Article 4.
DOI: 10.16182/j.issn1004731x.joss.201711004
Available at: https://dc-china-simulation.researchcommons.org/journal/vol29/iss11/4

First Page

2624

DOI Link

https://doi.org/10.16182/j.issn1004731x.joss.201711004

Last Page

2628

CLC

TP391.7

Recommended Citation

Zhao Huanxi, Qiu Xia. Three-point Subdivision Scheme with Multi-parameters for Reproducing Conic Splines[J]. Journal of System Simulation, 2017, 29(11): 2624-2628.

DOI

10.16182/j.issn1004731x.joss.201711004