Second Triangular Hermite Spline Curves and Its Application

Chunying LIU, Juncheng LI, Xing YU, Chun XIE, Wenbo DENG

Abstract


Abstract: A class of rational square trigonometric spline is presented, which shares the same properties of normal cubic Hermite interpolation spline. The given spline can more approximate the interpolated curve than the ordinary polynomial cubic spline.

Key words: Hermite spline curve; C2 continuous; Faultage area; Precision


Keywords


Hermite spline curve; C2 continuous; Faultage area; Precision

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References


Schoenberg, I. J. (1946). Contributions to the problem of approximation of equidistant data by analytic functions. Quart. Appl. Math., 4, 45-99.

Su, Buqing, & Liu, Dingyuan (1982). Computational geometry (pp. 27-32).Shanghai: Shanghai Academic Press.

De Boor, C. A. Practical guide to splines (pp. 318). New York: Spinger-Verlag.

Zhang, Jiwen (1996). C-curves: an extension of cubic curves. Computer Aide Geometric Design, 13 (9), 199-217.

Pena, J. M. (2000). Shape preserving representations for trigonometric polynomial. Advances in Computational Mathematics, (12), 133-149.

Lyche, T., Schumaker, L. L., & Stanley, S. (1998). Quasi-interpolants based on trigonometric splines. Journal of Approximation Theory, 95, 280-309.

Duan, Qi, & Zhang, H. L. et al. (2001). Constrained rational cubic spline and its application. Computational Mathematics, 19 (2), 143-150.




DOI: http://dx.doi.org/10.3968/j.pam.1925252820120401.1533

DOI (PDF): http://dx.doi.org/10.3968/g2743

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