B-spline patch

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B-spline patch A surface patch defined by B-spline curves in the same way that a Bézier patch is defined by Bézier curves. Given a characteristic polygon defined by vertices rij, i = 0,1,…p, j = 0,1,…q, the B-spline patch is defined by r(u,v) = ∑i=0pj=0q rijBρ,i+1(u)Bρ, j+1(v)

where B is the B-spline basis function of degree ρ.