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Conversion of matrix weighted rational Bézier curves to rational Bézier curves (2001.10942v2)
Published 29 Jan 2020 in math.NA and cs.NA
Abstract: Matrix weighted rational B\'{e}zier 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\'{e}zier curves in 2D or 3D space to rational B\'{e}zier curves. A method for computing the convex hulls of matrix weighted rational B\'{e}zier curves is given as a conjecture.