Conversion of matrix weighted rational B\'ezier curves to rational B\'ezier curves
Abstract
Matrix weighted rational B\'ezier 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 B\'ezier curves in 2D or 3D space to rational B\'ezier curves. A method for computing the convex hulls of matrix weighted rational B\'ezier curves is given as a conjecture.
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