Conversion of matrix weighted rational Bézier curves to rational Bézier curves

01/29/2020

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by   Xunnian Yang, et al.

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Matrix weighted rational Bézier curves can represent complex curve shapes using small numbers of control points and clear geometric definitions of matrix weights. Explicit formulae are derived to convert matrix weighted rational Bézier curves in 2D or 3D space to rational Bézier curves. A method for computing the convex hulls of matrix weighted rational Bézier curves is given as a conjecture.