Abstract
An explicit formula for the conversion of a degree m × n Bézier rectangular tensor product surface to a degree m + n Bézier triangle is derived. The control vertices of the Bézier triangle are shown to lie in the convex hull of the control vertices of the Bézier rectangle. Therefore the conversion formula is numerically stable. This formula is important because algorithms developed specifically for Bézier triangles can now also be used for surfaces composed of both Bézier rectangles and Bézier triangles.
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