Bezier surfaces with prescribed diagonals

Published 6 Feb 2024 in cs.CG | (2402.03892v1)

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.

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