Bezier surfaces with prescribed diagonals
<|reference_start|>Bezier surfaces with prescribed diagonals: The affine space of all tensor product B\'ezier patches of degree nxn with prescribed main diagonal curves is determined. First, the pair of B\'ezier curves which can be diagonals of a B\'ezier patch is characterized. Besides prescribing the diagonal curves, other related problems are considered, those where boundary curves or tangent planes along boundary curves are also prescribed.<|reference_end|>
@article{arnal2024bezier,
    title={Bezier surfaces with prescribed diagonals},
    author={A. Arnal, J. Monterde},
    journal={arXiv preprint arXiv:2402.03892},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.03892},
    primaryClass={cs.CG}
}