Bezier surfaces with prescribed diagonals
Computational Geometry
2024-02-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2402.03892,
title = {Bezier surfaces with prescribed diagonals},
author = {A. Arnal and J. Monterde},
journal= {arXiv preprint arXiv:2402.03892},
year = {2024}
}