Second Triangular Hermite Spline Curves and Its Application
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
Full Text:
PDFReferences
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
Refbacks
- There are currently no refbacks.
Copyright (c)
Reminder
We are currently accepting submissions via email only.
The registration and online submission functions have been disabled.
Please send your manuscripts to pam@cscanada.net,or pam@cscanada.org for consideration.
We look forward to receiving your work.
Articles published in Progress in Applied Mathematics are licensed under Creative Commons Attribution 4.0 (CC-BY).
ROGRESS IN APPLIED MATHEMATICS Editorial Office
Address: 1055 Rue Lucien-L'Allier, Unit #772, Montreal, QC H3G 3C4, Canada.
Telephone: 1-514-558 6138
Http://www.cscanada.net
Http://www.cscanada.org
E-mail:office@cscanada.net office@cscanada.org caooc@hotmail.com
Copyright © 2010 Canadian Research & Development Center of Sciences and Cultures