By introducing the concept of weights in NURBS curve into a blending technique, the paper extends the representation of the T-Bézier curve. The generalized T-Bézier curve is denoted as a Extension T-Bézier curve, whose shape-control capability is shown to be much better than that of T-Bézier curve. The representation and properties of the extension curve is studied. The curve is easy and intuitive to reshape by varying the parameters;so it is useful in some applications of CAD/CAM.
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