Quantum Trigonometric Bézier Curves
In order to construct quantum trigonometric Bézier curves with shape parameter, one parameter family of trigonometric Bernstein basis functions are introduced. We study the total positivity of the basis functions to analyze the shape preserving properties of the quantum trigonometric Bézier curves. We also showed that quantum trigonometric Bézier curves can be evaluated by two different recursive evaluation algorithms. Finally, we have defined rational counterpart of quantum trigonometric Bézier curves and show that the rational quantum trigonometric Bézier curves posses nice shape preserving properties.
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