Abstract   The well-known algorithm of de Casteljau was already known in 1870 by I.C.F. Haase. Haase's idea is strongly related to an affine representation of de Casteljau's algorithm for rational curves and surfaces, and even to de Boor's algorithm for rational splines.
['Wolfgang Boehm']
An affine representation of de Casteljau's and de Boor's rational algorithms