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Bézier Surface

A Bézier surface is a special case of a non-uniform B-Spline. The knot vectors have exactly two knots, normally 0 and 1, which are multiplied by the surface order in both parameter directions. For example, the knot vectors of a bi-cubic (order of 4) Bézier surface are both . A Bézier surface can also be rational. A bi-cubic Bézier surface together with its control mesh is shown in Figure 1 and a Bézier surface of order in Figure 2.

  
Figure 1: A order Bézier surface together with its control mesh

  
Figure 2: A order Bézier surface together with its control mesh



jvuoskos@dxcern.cern.ch 5/95