Polyhedral design with blended $n$-sided interpolants
Computational Geometry
2026-01-28 v1 Numerical Analysis
Numerical Analysis
Abstract
A new parametric surface representation is proposed that interpolates the vertices of a given closed mesh of arbitrary topology. Smoothly connecting quadrilateral patches are created by blending local, multi-sided quadratic interpolants. In the non-four-sided case, this requires a special parameterization technique involving rational curves. Appropriate handling of triangular subpatches and alternative subpatch representations are also discussed.
Cite
@article{arxiv.2601.19322,
title = {Polyhedral design with blended $n$-sided interpolants},
author = {Péter Salvi},
journal= {arXiv preprint arXiv:2601.19322},
year = {2026}
}