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@MISC{,
            author = {J{\"{u}}ttler, Bert and {\v S}{\'{\i}}r, Zbyněk},
          keywords = {De Casteljau algorithm, degree elevation, Lupa¸s numbers, rational Bernstein functions, rational B´ezier curves},
             title = {On de Casteljau-type algorithms for rational B´ezier curves},
              year = {2014},
          abstract = {We consider the space of rational functions of degree n with a common denominator. It is shown that the corresponding rational B´ezier curves admit up to 1 + n! different de Casteljau-type algorithms, depending on the ordering of the elementary factors of the polynomial. Our observations generalize recent results of Han, Chu and Qiu [2], which cover the case of denominators of the formQn i=1(1− t+qi−1t) where q is a positive constant, to rational curves with general denominators.},
  Preprint project = {NCMM},
     Preprint year = {2014},
   Preprint number = {13},
       Preprint ID = {NCMM/2014/13}
}