Efficient evaluation of Bernstein-B\'ezier coefficients of B-spline basis functions over one knot span
<|reference_start|>Efficient evaluation of Bernstein-B\'ezier coefficients of B-spline basis functions over one knot span: New differential-recurrence relations for B-spline basis functions are given. Using these relations, a recursive method for finding the Bernstein-B\'{e}zier coefficients of B-spline basis functions over a single knot span is proposed. The algorithm works for any knot sequence and has an asymptotically optimal computational complexity. Numerical experiments show that the new method gives results which preserve a high number of digits when compared to an approach which uses the well-known de Boor-Cox formula.<|reference_end|>
@article{chudy2024efficient,
    title={Efficient evaluation of Bernstein-B\'{e}zier coefficients of B-spline
  basis functions over one knot span},
    author={Filip Chudy and Pawe{l} Wo'zny},
    journal={arXiv preprint arXiv:2404.10396},
    year={2024},
    archivePrefix={arXiv},
    eprint={2404.10396},
    primaryClass={math.NA cs.GR cs.NA}
}