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affinely independent Aitken-Neville algorithm algorithm for L-bases algorithm for multinomial algorithm for univariate algorithm with computational algorithms for evaluating algorithms for multivariate algorithms include apex arrow emerges basis algorithm Bezier bases Bezier L-basis bivariate L-bases bivariate Lagrange Carnicer and Gasca Casteljau algorithm change of basis class of algorithms coefficients Ra computational complexity 0(n2 diagram of Figure difference evaluation algorithm divided difference algorithm dual nested multiplication evaluating multivariate polynomials evaluation of bivariate evaluation of polynomials expressed in terms forward difference algorithm Gasca CG90a geometric mesh given polynomial interpolation problem knot-net of polynomials L-basis defined ladder recurrence algorithm Lagrange and Newton Lagrange evaluation algorithm Lagrange L-basis Lagrange polynomials left diagram linear dependence condition multi-index multinomial bases multiplication evaluation algorithm multivariate polynomials expressed nested multiplication algorithm nested multiplication evaluation Newton bases Newton basis parallel up recurrence polynomials of degree quadratic polynomial recurrence diagram right diagram Section tensor product tetrahedron univariate polynomials