Bezier surfaces with prescribed diagonals
arXiv:2402.03892
Abstract
The affine space of all tensor product Bézier patches of degree nxn with prescribed main diagonal curves is determined. First, the pair of Bézier curves which can be diagonals of a Bézier 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.