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Triangular Bernstein-Bézier patches

Gerald Farin
1986 Computer Aided Geometric Design  
One of the standard forms for a bivariate polynomial is the expansion in terms of monomials xiyJ: f(x, y)= }--'. ai,jxiy j, (2.23) i+j<_n which can be rewritten as a Taylor expansion: 1 ~i+j f(x,y)=  ...  Hermite polynomials with n = 4r + 1 where first considered by [Zenisek '70] .  ... 
doi:10.1016/0167-8396(86)90016-6 fatcat:4eofrjn7tbdgjchktn2akwt7pa