Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)


Piecewise quadratic trigonometric polynomial curves

Author: Xuli Han
Journal: Math. Comp. 72 (2003), 1369-1377
MSC (2000): Primary 65D17, 65D10; Secondary 42A10
Published electronically: March 26, 2003
MathSciNet review: 1972741
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Analogous to the quadratic B-spline curve, a piecewise quadratic trigonometric polynomial curve is presented in this paper. The quadratic trigonometric polynomial curve has $C^2$ continuity, while the quadratic B-spline curve has $C^1$ continuity. The quadratic trigonometric polynomial curve is closer to the given control polygon than the quadratic B-spline curve.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC (2000): 65D17, 65D10, 42A10

Retrieve articles in all journals with MSC (2000): 65D17, 65D10, 42A10

Additional Information

Xuli Han
Affiliation: Department of Applied Mathematics and Applied Software, Central South University, Changsha, 410083, Peoples Republic of China

PII: S 0025-5718(03)01530-8
Keywords: Trigonometric polynomial, trigonometric curve, splines
Received by editor(s): November 30, 2000
Received by editor(s) in revised form: November 7, 2001
Published electronically: March 26, 2003
Additional Notes: This work was conducted while the author was visiting the geometric modeling group at the University of Florida.
Article copyright: © Copyright 2003 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia