Interpolation of surfaces with asymptotic curves in Euclidean 3-space

Abstract

In this paper, we investigate the interpolation of surfaces which are obtained from an isoasymptotic curve in 3D-Euclidean space. We prove that there exist a unique $C^0$-Hermite surface interpolation related to an isoasymptotic curve under some special conditions on the marching scale functions. Finally, we present some examples and plot their graphs.

References in corpus (1)

• Geometric deep learning: going beyond Euclidean data