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Matrix weighted rational B\'{e}zier curves can represent complex curve shapesusing small numbers of control points and clear geometric definitions of matrixweights. Explicit formulae are derived to convert matrix weighted rationalB\'{e}zier curves in 2D or 3D space to rational B\'{e}zier curves. A method forcomputing the convex hulls of matrix weighted rational B\'{e}zier curves isgiven as a conjecture.

Conversion of matrix weighted rational B\'{e}zier curves to rational B\'{e}zier curves