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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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