## Piecewise quadratic trigonometric polynomial curves.(English)Zbl 1072.65019

Summary: Analogous to the quadratic B-spline curve, a piecewise quadratic trigonometric polynomial curve is presented. 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.

### MSC:

 65D17 Computer-aided design (modeling of curves and surfaces) 65T40 Numerical methods for trigonometric approximation and interpolation 42A10 Trigonometric approximation
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### References:

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