Piecewise quadratic trigonometric polynomial curves

Author:
Xuli Han

Journal:
Math. Comp. **72** (2003), 1369-1377

MSC (2000):
Primary 65D17, 65D10; Secondary 42A10

DOI:
https://doi.org/10.1090/S0025-5718-03-01530-8

Published electronically:
March 26, 2003

MathSciNet review:
1972741

Full-text PDF

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 continuity, while the quadratic B-spline curve has continuity. The quadratic trigonometric polynomial curve is closer to the given control polygon than the quadratic B-spline curve.

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Additional Information

**Xuli Han**

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

Email:
xlhan@mail.csu.edu.cn

DOI:
https://doi.org/10.1090/S0025-5718-03-01530-8

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