Mathematics of Computation

Author(s): Xuli Han.
Journal: Math. Comp. 72 (2003), 1369-1377.
MSC (2000): Primary 65D17, 65D10; Secondary 42A10
Posted: March 26, 2003
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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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Retrieve articles in Mathematics of Computation with MSC (2000): 65D17, 65D10, 42A10

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: 10.1090/S0025-5718-03-01530-8
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
Posted: March 26, 2003
Additional Notes: This work was conducted while the author was visiting the geometric modeling group at the University of Florida.
Copyright of article: Copyright 2003, American Mathematical Society

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