Constrained polynomial degree reduction in the L2-norm equals best weighted Euclidean approximation of Bézier coefficients

In this paper we show that the best constrained degree reduction of a given Bezier curve f of degree from n to m with Cα-1-continuity at the boundary in L2-norm is equivalent to the best weighted Euclidean approximation of the vector of Bernstein-Bezier (BB) coefficients of f from the vector of degree raised BB coefficients of polynomials of degree m with Cα-1-continuity at the boundary.

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