WOLFRAM|DEMONSTRATIONS PROJECT

q-Bézier Curves

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parameter q
display control polygon
Visualization of Bézier curve and its generalization in
q
-calculus. The Bézier curve, introduced by Pierre Bézier, is widely used in computer graphics for modelling smooth curves and also in the design of planes, sport cars, etc. This concept is generalized in
q
-calculus to obtain a whole family of curves parametrized by
q
in the unit interval. The original Bézier curve is then obtained in the limit as
q
goes to 1.