Piecewise quadratic trigonometric polynomial curves

Han, Xuli

doi:10.1090/S0025-5718-03-01530-8

Piecewise quadratic trigonometric polynomial curves
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by Xuli Han;

Math. Comp. 72 (2003), 1369-1377

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

Published electronically: 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 $C^2$ 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.

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